Personas · Departamento de Matemática · Universidad Técnica Federico Santa María

Alexander Quaas Berger

Director del Programa Doctorado en Matemática

Línea de Investigación:

Análisis No-Lineal y de Ecuaciones Diferenciales Parciales

Información:

Grado Académico: Ph.D Universidad de Chile - Université de Paris-Dauphine (Francia)
Título Profesional: Ingeniero Civil Matemático, Universidad de Chile
Campus: Casa Central
Horario de consulta: Lunes y Miércoles de 11:00 a 12:00 hrs.
Email: alexander.quaas@usm.cl
Sitio Web

Publicaciones Recientes

Núm.	Autores	Artículo	Revista	Año
81	L. Del Pezzo, A. Quaas, J. Rossi	Fractional convexity	Mathematische Annalen 383,1687–1719 (2022).	2022
80	A. Quaas, A, Rodriguez-Paredes, G. Barles.	Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in RN	Communications in Partial Differential Equations, 46, (3), 547-572, (2021).	2021
79	H. Chen, A. Quaas, F. Zhou	On nonhomogeneous elliptic equations with the Hardy—Leray potentials	Journal d’Analyse Mathématique 144, 305–334 (2021).	2021
78	L. M. Del Pezzo, A. Quaas	Spectrum of the fractional -Laplacian in and decay estimate for positive solutions of a Schrödinger equation	Nonlinear Anal. 193 (2020), 111479, 24 pp.	2020
77	B. Barrios, A. Quaas	The sharp exponent in the study of the nonlocal Hénon equation in RN: a Liouville theorem and an existence result	Calculus of Variations and Partial Differential Equations volume 59, Article number: 114 (2020)	2020
76	A. Quaas, A. Salort, A. Xia	Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term	ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 36, 19 pp	2020
75	G. Dávila, A. Quaas, E. Topp	Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems	Journal of Differential Equations; Vol. 266(9), pp. 5971-5997; Apr. 2019.	2019
74	J. García-Melián, L. Iturriaga, A. Quaas	Liouville theorems for radial solutions of semilinear elliptic equations	Complex Variables and Elliptic Equations; Vol 64(6), pp. 933-949; 2019.	2019
73	G. Dávila, A. Quaas, E. Topp	An ODE approach for fractional Dirichlet problems with gradient nonlinearity	Mathematische Zeitschrift; Vol. 291(1–2), pp. 85–111; Feb. 2019.	2019
72	B. Barrios, J. García-Melián, A. Quaas	Periodic solutions for the one-dimensional fractional Laplacian	J. Differential Equations 267 (2019), no. 9, 5258–5289	2019
71	B. Barrios, J. García-Melián, A. Quaas	A note on the monotonicity of solutions for fractional equations in half-spaces	Proc. Amer. Math. Soc. 147 (2019), no. 7, 3011–3019	2019
70	M. Á. Burgos-Pérez, J. García-Melián, A. Quaas	Some nonexistence theorems for semilinear fourth-order equations	Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 3, 761–779	2019
69	J. García-Melián, A. Quaas, B. Sirakov	Liouville theorems for nonlinear elliptic equations in half-spaces	Journal d’Analyse Mathématique; Vol. 139, pp. 559–583; Nov. 2019.	2019
68	A. Quaas, A. Rodríguez	Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms	Journal of Differential Equations, Vol. 264(4), pp. 2897-2935, Feb. 2018.	2018
67	B. Barrios, L. Del Pezzo, J. García-Melián, A. Quaas	A priori bounds and existence of solutions for some nonlocal elliptic problems	Revista Matemática Iberoamericana, Vol. 34(1), pp. 195-220, Feb. 2018.	2018
66	C. Huyuan, A. Quaas	Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results	Journal of the London Mathematical Society, Vol. 97(2), pp. 196-221, Apr. 2018.	2018
65	A. Quaas, A. Xia	Existence results of positive solutions for nonlinear cooperative elliptic systems involving fractional Laplacian	Communications in Contemporary Mathematics, Vol. 20(3), art. 1750032, May 2018.	2018
64	A. Quaas, A. Rodríguez	Analysis of the attainment of boundary conditions for a nonlocal diffusive Hamilton-Jacobi equation	Discrete & Continuous Dynamical Systems – A, Vol. 38(10), pp 5221-5243, Oct. 2018.	2018
63	B. Barrios, L. Del Pezzo, J. García-Melián, A. Quaas	Symmetry results in the half-space for a semi-linear fractional Laplace equation	Annali di Matematica Pura ed Applicata, Vol. 197(5), pp 1385-1416, Oct. 2018.	2018
62	A. Quaas, E. Topp	Existence and uniqueness of large solutions for a class of non-uniformly elliptic semilinear equations	Journal d’Analyse Mathématique; Vol. 136(1), pp. 341–355; Oct. 2018.	2018
61	A. Quaas, A. Xia	Existence and uniqueness of positive solutions for a class of logistic type elliptic equations in involving fractional Laplacian	Discrete and Continuous Dynamical Systems – Series A; Vol. 37(5), pp. 2653-2668; May 2017	2017
60	Gonzalo Dávila, Alexander Quaas, Erwin Topp	Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms	Math. Ann. 369 (2017), no. 3-4, 1211–1236	2017
59	J. García, B. Barrios, L.M. Del Pezzo, A. Quaas	Monotonicity of solutions for some nonlocal elliptic problems in half-spaces	Calculus of Variations and Partial Differential Equations; Vol. 56, art. 39; Apr. 2017	2017
58	L.M. Del Pezzo, A. Quaas	Non-resonant Fredholm alternative and anti-maximum principle for the fractional p-Laplacian	Journal of Fixed Point Theory and Applications; Vol. 19(1), pp. 939-958; Mar. 2017	2017
57	A. Quaas O. González-Melendez	On critical exponents for Lane-Emden-Fowler-type equations with a singular extremal operator	Annali di Matematica Pura ed Applicata; Vol. 196(2), pp. 599-615; Apr. 2017	2017
56	L.M. Del Pezzo, B. Barrios, J. García, A. Quaas	A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions	Discrete and Continuous Dynamical Systems – Series A; Vol. 37(11), pp. 5731-5746; Nov. 2017	2017
55	L.M. Del Pezzo, A. Quaas	A Hopf’s lemma and a strong minimum principle for the fractional p-Laplacian	Journal of Differential Equations; Vol. 263(1), pp. 765-778; Jul. 2017	2017
54	G. Dávila, A. Quaas, E. Topp	Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms	Mathematische Annalen; Vol. 369(3-4), pp. 1211-1236; Dec. 2017	2017
53	J. García, S. Alarcón, M. Burgos, A. Quaas	Nonexistence results for elliptic equations woth gradient terms	Journal of Differential Equations; Vol. 260(1), pp. 758-780; Jan. 5, 2016.	2016
52	S. Alarcón, J. García, A. Quaas	Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian	Annali della Scuola Normale Superiore di Pisa-Classe di Scienze; Vol. XVI(1), pp. 129-158; 2016	2016
51	A. Quaas, A. Xia	A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian	Nonlinearity; Vol. 29(8), pp. 2279-2297; Aug. 2016	2016
50	M.A. Burgos, J. García, A. Quaas	Classification of Supersolutions and Liouville Theorems for some Nonlinear Elliptic Problems	Discrete and Continuous Dynamical Systems; Vol. 36(9), pp. 4703-4721; Sep. 2016	2016
49	B. Sirakov, J. García, A. Quaas	Elliptic equations with absorption in a half-space	Bulletin of the Brazilian Mathematical Society; Vol. 47(3), pp. 811-821; Sep. 2016 Link	2016
48	L. del Pezzo, A. Quaas	Global Bifurcation for Fractional p-Laplacian and an Application	Zeitschrift für Analysis und Ihre Anwendungen; Vol. 35(4), pp. 411-447; 2016	2016
47	A. Quaas, A. Xia	Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions	Zeitschrift für angewandte Mathematik und Physik; Vol. 67(3), art. 40; Jun. 2016 Link	2016
46	A. Quaas, H. Chen, P. Felmer	Large solutions to elliptic equations involving fractional Laplacian	Annales de L´Institut Henri Poincaré: Analyse Non Linéaire; Vol. 32(6), pp. 1199-1228; Nov-Dic. 2015	2015
45	H. Chen, P. Felmer, A. Quaas	Self-Generated Interior Blow-Up Solutions of Fractional Elliptic Equation with Absorption	Differential and Integral Equations; Vol. 28(9-10), pp. 839-860; Sept-Oct. 2015 Link	2015
44	A. Quaas, A. Xia	Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space	Calc. Var. Partial Differential Equations 52 (2015), no. 3-4, 641–659	2015
43	S. Alarcón, J. García-Mellán, A. Quaas	Existence and non-existence of solutions to elliptic equations with a general convection term	Proceedings of the Royal Society of Edinburgh, Section A-Mathematics; Vol. 144(2), pp. 225-239; Apr. 2014	2014
42	S. Alarcón, J. García-Melián, A. Quaas	Liouville Type Theorems for Elliptic Equations with Gradient Terms	Milan Journal of Mathematics 81 (2013) 171-185	2013
41	S. Alarcón, J. García-Melián, A. Quaas	Nonexistence of positive supersolutions to some nonlinear elliptic problems	Journal de Mathématiques Pures et Appliquées Volume 99, Issue 5, May 2013, Pages 618-634	2013
40	S. Alarcón, A. Quaas	Large viscosity solutions for some fully nonlinear equations	NoDEA Nonlinear Differential Equations Appl. 20 (2013) 1453-1472	2013
39	P. Felmer, A. Quaas, B. Sirakov	Solvability of nonlinear elliptic equations with gradient terms	J. Differential Equations 254 (2013), no. 11, 4327–4346	2013
38	S. Alarcón, L. Iturriaga, A. Quaas	Existence and multiplicity results for Pucci’s operators involving nonlinearities with zeros	Calculus of Variations and Partial Differential Equations November 2012, Volume 45, Issue 3–4, pp 443–454	2012
37	Salomón Alarcón, Jorge García-Melián, Alexander Quaas	Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity	Journal d’Analyse Mathématique October 2012, Volume 118, Issue 1, pp 83–104	2012
36	P. Felmer, A. Quaas, J. Tan	Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian	Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 6, 1237–1262	2012
35	Salomón Alarcón, Jorge García-Melián, Alexander Quaas	Keller–Osserman type conditions for some elliptic problems with gradient terms	Journal of Differential Equations Volume 252, Issue 2, 15 January 2012, Pages 886-914	2012
34	P. Felmer, A. Quaas, B. Sirakov	Existence and regularity results for fully nonlinear equations with singularities	Math. Ann. 354 (2012), no. 1, 377–400	2012
33	P. Felmer, A. Quaas	Fundamental solutions for a class of Isaacs integral operators	Discrete Contin. Dyn. Syst. 30 (2011), no. 2, 493–508	2011
32	R. Meneses, A. Quaas	Fujita type exponent for fully nonlinear parabolic equations and existence results	J. Math. Anal. Appl. 376 (2011), no. 2, 514–527	2011
31	P. Felmer, A. Quaas	Fundamental solutions and Liouville type theorems for nonlinear integral operators	Adv. Math. 226 (2011), no. 3, 2712–2738	2011
30	Alejandro Allendes, Alexander Quaas	Multiplicity results for extremal operators trough bifurcation	Discrete and Continuous Dynamical Systems – Series A, Vol. 29, No. 1, pp: 51–65, 2011	2011
29	Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander	Harnack inequality for singular fully nonlinear operators and some existence results	Calc. Var. Partial Differential Equations 39 (2010), no. 3-4, 557–578.	2010
28	M. J. Esteban, P. Felmer, A. Quaas	Eigenvalues for radially symmetric fully nonlinear operators	Comm. Partial Differential Equations 35 (2010), no. 9, 1716–1737	2010
27	P. Felmer, A. Quaas, B. Sirakov	Resonance phenomena for second-order stochastic control equations	SIAM J. Math. Anal. 42 (2010), no. 3, 997–1024	2010
26	P. Felmer, A. Quaas, B. Sirakov	Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations	J. Funct. Anal. 258 (2010), no. 12, 4154–4182	2010
25	P. Felmer, A. Quaas, J. Tan	Geometry of phase plane and radial solutions for nonlinear elliptic equations with extremal operators.	J. Math. Anal. Appl. 366 (2010), no. 1, 101–111	2010
24	M. J. Esteban, P. Felmer, A. Quaas	Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data	Proc. Edinb. Math. Soc. (2) 53 (2010), no. 1, 125–141	2010
23	S. Alarcón, A. Quaas	Large number of fast decay ground states to Matukuma-type equations	Journal of Differential Equations Volume 248, Issue 4, 15 February 2010, Pages 866-892	2010
22	A. Quaas, B. Sirakov	Existence and non-existence results for fully nonlinear elliptic systems	Indiana Univ. Math. J. 58 (2009), no. 2, 751–788	2009
21	P. Felmer, M. Montenegro, A. Quaas	A note on the strong maximum principle and the compact support principle	J. Differential Equations 246 (2009), no. 1, 39–49	2009
20	Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander	Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations	C. R. Math. Acad. Sci. Paris 347 (2009), no. 19-20, 1165–1168	2009
19	P. Felmer, A. Quaas, M. Tang, J. Yu	Random dynamics of gene transcription activation in single cells	J. Differential Equations 247 (2009), no. 6, 1796–1816	2009
18	P. Felmer, A. Quaas	Fundamental solutions and two properties of elliptic maximal and minimal operators	Trans. Amer. Math. Soc. 361 (2009), no. 11, 5721–5736.	2009
17	P. Felmer, A. Quaas, M. Tang	On the complex structure of positive solutions to Matukuma-type equations	Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 3, 869–887	2009
16	P. Felmer, A. Quaas	Around viscosity solutions for a class of superlinear second order elliptic differential equations.	On the notions of solution to nonlinear elliptic problems: results and developments, 205–228, Quad. Mat., 23, Dept. Math., Seconda Univ. Napoli, Caserta, 2008	2008
15	A. Quaas, B. Sirakov	Solvability of monotone systems of fully nonlinear elliptic PDE’s	C. R. Math. Acad. Sci. Paris 346 (2008), no. 11-12, 641–644	2008
14	P. Felmer, A. Quaas, M. Tang, J. Yu	Monotonicity properties for ground states of the scalar field equation	Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 1, 105–119	2008
13	M.J. Esteban, P. Felmer, A. Quaas	Large critical exponents for some second order uniformly elliptic operators	Comm. Partial Differential Equations 32 (2007), no. 4-6, 543–556	2007
12	A. Quaas, B. Sirakov	Existence results for nonproper elliptic equations involving the Pucci operator	Comm. Partial Differential Equations 31 (2006), no. 7-9, 987–1003	2006
11	P. Felmer, A. Quaas, M. Tang	On uniqueness for nonlinear elliptic equation involving the Pucci’s extremal operator	J. Differential Equations 226 (2006), no. 1, 80–98	2006
10	P. Felmer, A. Quaas	Critical exponents for uniformly elliptic extremal operators	Indiana Univ. Math. J. 55 (2006), no. 2, 593–629	2006
9	A. Quaas, B. Sirakov	On the principal eigenvalues and the Dirichlet problem for fully nonlinear operators	C. R. Math. Acad. Sci. Paris 342 (2006), no. 2, 115–118	2006
8	P. Felmer, A. Quaas	Some recent results on equations involving the Pucci’s extremal operators	Contributions to nonlinear analysis, 263–281, Progr. Nonlinear Differential Equations Appl., 66, Birkhäuser, Basel, 2006	2006
7	J. Busca, M. J. Esteban, A. Quaas	Nonlinear eigenvalues and bifurcation problems for Pucci’s operators	Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005), no. 2, 187–206	2005
6	A. Quaas	Existence of a positive solution to a “semilinear” equation involving Pucci’s operator in a convex domain	Differential Integral Equations 17 (2004), no. 5-6, 481–494	2004
5	P. Felmer, A. Quaas	Positive radial solutions to a `semilinear’ equation involving the Pucci’s operator	J. Differential Equations 199 (2004), no. 2, 376–393	2004
4	P. Felmer, A. Quaas	On critical exponents for the Pucci’s extremal operators	Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 5, 843–865	2003
3	P. Felmer, A. Quaas	Critical exponents for the Pucci’s extremal operators	C. R. Math. Acad. Sci. Paris 335 (2002), no. 11, 909–914	2002
2	J. Busca, A. Quaas	Qualitative properties for semilinear elliptic systems with non-Lipschitz nonlinearity	Nonlinear Anal. 50 (2002), no. 3, Ser. A: Theory Methods, 299–312	2002
1	P. Felmer, A. Quaas	On the strong maximum principle for quasilinear elliptic equations and systems	Adv. Differential Equations 7 (2002), no. 1, 25–46	2002