Jorge García-Melián

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All published works

Action	Title	Year	Authors
+	Liouville theorems for nonlinear elliptic equations in half-spaces	2019	Jorge García-Melián Alexander Quaas Boyan Sirakov
+	Periodic solutions for the one-dimensional fractional Laplacian	2019	Begoña Barrios Jorge García-Melián Alexander Quaas
+	Some nonexistence theorems for semilinear fourth-order equations	2018	M.Á. Burgos-Pérez Jorge García-Melián Alexander Quaas
+ PDF Chat	A note on the monotonicity of solutions for fractional equations in half-spaces	2018	Begoña Barrios Jorge García-Melián Alexander Quaas
+	Liouville theorems for elliptic systems with nonlinear gradient terms	2018	M.Á. Burgos-Pérez Jorge García-Melián
+	Liouville theorems for radial solutions of semilinear elliptic equations	2018	Jorge García-Melián Leonelo Iturriaga Alexander Quaas
+	Symmetry results in the half-space for a semi-linear fractional Laplace equation	2018	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+ PDF Chat	A priori bounds and existence of solutions for some nonlocal elliptic problems	2018	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+	Periodic solutions for the one-dimensional fractional Laplacian	2018	Begoña Barrios Jorge García-Melián Alexander Quaas
+	Symmetry of large solutions for semilinear elliptic equations in a ball	2017	Carmen Cortázar Manuel Elgueta Jorge García-Melián
+	A Diffusion Equation with a Variable Reaction Order	2017	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Symmetry of large solutions for semilinear elliptic equations in a ball	2017	Carmen Cortázar Manuel Elgueta Jorge García-Melián
+ PDF Chat	Monotonicity of solutions for some nonlocal elliptic problems in half-spaces	2017	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+	Nonexistence of positive solutions for Henon equation	2017	Jorge García-Melián
+	Dirichlet problems for the p-Laplacian with a convection term	2017	Jorge García-Melián José C. Sabina de Lis Peter Takáč
+	Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis	2017	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+	A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions	2017	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+ PDF Chat	A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions	2017	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+	Nonexistence of positive solutions for Henon equation	2017	Jorge García-Melián
+	Symmetry of large solutions for semilinear elliptic equations in a ball	2017	Carmen Cortázar Manuel Elgueta Jorge García-Melián
+ PDF Chat	Analysis of an elliptic system with infinitely many solutions	2016	Carmen Cortázar Manuel Elgueta Jorge García-Melián
+ PDF Chat	Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems	2016	Alexander Quaas Jorge García-Melián M.Á. Burgos-Pérez
+	Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian	2016	Salomón Alarcón Jorge García-Melián Alexander Quaas
+	Nonnegative solutions of semilinear elliptic equations in half-spaces	2016	Carmen Cortázar Manuel Elgueta Jorge García-Melián
+ PDF Chat	A variable exponent diffusion problem of concave-convex nature	2016	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+ PDF Chat	Elliptic equations with absorption in a half-space	2016	Jorge García-Melián Alexander Quaas Boyan Sirakov
+ PDF Chat	Elliptic equations with absorption in a half-space	2016	Jorge García-Melián Alexander Quaas Boyan Sirakov
+	Semilinear elliptic equations and nonlinearities with zeros	2016	Begoña Barrios Jorge García-Melián Leonelo Iturriaga
+ PDF Chat	Elliptic systems with boundary blow-up: existence, uniqueness and applications to removability of singularities	2016	José C. Sabina de Lis Julio D. Rossi Jorge García-Melián
+	Some counterexamples related to the stationary Kirchhoff equation	2015	Jorge García-Melián Leonelo Iturriaga
+	A Priori Bounds and Existence of Solutions for Slightly Superlinear Elliptic Problems	2015	Jorge García-Melián Leonelo Iturriaga Humberto Ramos Quoirin
+	Large solutions for an elliptic equation with a nonhomogeneous term	2015	Jorge García-Melián
+	Nonexistence results for elliptic equations with gradient terms	2015	Salomón Alarcón M.Á. Burgos-Pérez Jorge García-Melián Alexander Quaas
+	An inhomogeneous nonlocal diffusion problem with unbounded steps	2015	Carmen Cortázar Manuel Elgueta Jorge García-Melián Salomé Martínez
+	Multiplicity of solutions for some semilinear problems involving nonlinearities with zeros	2015	Jorge García-Melián Leonelo Iturriaga
+	A priori bounds and existence of solutions for some nonlocal elliptic problems	2015	Begoña Barrios Leandro M. Del Pezzo Jorge García-Melián Alexander Quaas
+	Finite mass solutions for a nonlocal inhomogeneous dispersal equation	2014	Carmen Cortázar Manuel Elgueta Jorge García-Melián Salomé Martínez
+	Existence and non-existence of solutions to elliptic equations with a general convection term	2014	Salomón Alarcón Jorge García-Melián Alexander Quaas
+	Multiplicity of solutions to a nonlinear elliptic problem with nonlinear boundary conditions	2013	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Liouville Type Theorems for Elliptic Equations with Gradient Terms	2013	Salomón Alarcón Jorge García-Melián Alexander Quaas
+	Nonexistence of positive supersolutions to some nonlinear elliptic problems	2012	Salomón Alarcón Jorge García-Melián Alexander Quaas
+	Existence and uniqueness of solutions of nonlinear elliptic equations without growth conditions at infinity	2012	Salomón Alarcón Jorge García-Melián Alexander Quaas
+	A boundary blow-up problem with a nonlocal reaction	2011	Jorge García-Melián José C. Sabina de Lis
+	A convex-concave elliptic problem with a parameter on the boundary condition	2011	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Keller–Osserman type conditions for some elliptic problems with gradient terms	2011	Salomón Alarcón Jorge García-Melián Alexander Quaas
+	Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights	2011	Jorge García-Melián
+ PDF Chat	Limit cases in an elliptic problem with a parameter-dependent boundary condition	2011	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Stationary sign changing solutions for an inhomogeneous nonlocal problem	2011	Carmen Cortázar Manuel Elgueta Jorge García-Melián Salomé Martínez
+	The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter	2010	Eduardo Colorado Jorge García-Melián
+ PDF Chat	Layer Profiles of Solutions to Elliptic Problems under Parameter-Dependent Boundary Conditions	2010	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	An application of the maximum principle to describe the layer behavior of large solutions and related problems	2010	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+ PDF Chat	Large solutions to an anisotropic quasilinear elliptic problem	2010	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Fujita exponents for evolution problems with nonlocal diffusion	2009	Jorge García-Melián Fernando Quirós
+ PDF Chat	EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO ELLIPTIC PROBLEMS WITH SUBLINEAR MIXED BOUNDARY CONDITIONS	2009	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Uniqueness of positive solutions for a boundary blow-up problem	2009	Jorge García-Melián
+ PDF Chat	Maximum and antimaximum principles for some nonlocal diffusion operators	2009	Jorge García-Melián Julio D. Rossi
+ PDF Chat	Existence, Asymptotic Behavior and Uniqueness for Large Solutions to Δu = e<sup>q(x)u</sup>	2009	Jorge García-Melián José C. Sabina de Lis Julio D. Rossi
+ PDF Chat	An elliptic system with bifurcation parameters on the boundary conditions	2009	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+ PDF Chat	Quasilinear Equations With Boundary Blow-up and Exponential Reaction	2009	Jorge García-Melián
+	A logistic equation with refuge and nonlocal diffusion	2009	Jorge García-Melián Julio D. Rossi
+	Existence and Asymptotic Behavior of Solutions to Some Inhomogeneous Nonlocal Diffusion Problems	2009	Carmen Cortázar Manuel Elgueta Jorge García-Melián S. Martínez
+	Large solutions for equations involving the p-Laplacian and singular weights	2008	Jorge García-Melián
+	On the principal eigenvalue of some nonlocal diffusion problems	2008	Jorge García-Melián Julio D. Rossi
+	Large solutions for an elliptic system of quasilinear equations	2008	Jorge García-Melián
+ PDF Chat	Large solutions for the Laplacian with a power nonlinearity given by a variable exponent	2008	José C. Sabina de Lis Jorge García-Melián Julio D. Rossi
+	A bifurcation problem governed by the boundary condition I	2007	Jorge García-Melián José C. Sabina de Lis Julio D. Rossi
+ PDF Chat	THE COMPETITION BETWEEN INCOMING AND OUTGOING FLUXES IN AN ELLIPTIC PROBLEM	2007	Jorge García-Melián Julio D. Rossi António Suárez
+ PDF Chat	Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary	2007	Jorge García-Melián Cristian Morales-Rodrigo Julio D. Rossi António Suárez
+ PDF Chat	Large solutions to the p-Laplacian for large p	2007	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+	Uniqueness for boundary blow-up problems with continuous weights	2007	Jorge García-Melián
+	A bifurcation problem governed by the boundary condition II	2006	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis
+ PDF Chat	A remark on uniqueness of large solutions for elliptic systems of competitive type	2006	Jorge García-Melián
+	Boundary behavior for large solutions to elliptic equations with singular weights	2006	Jorge García-Melián
+	The solvability of an elliptic system under a singular boundary condition	2006	Jorge García-Melián José C. Sabina de Lis R. Letelier-Albornoz
+	REMARKS ON LARGE SOLUTIONS	2005	Jorge García-Melián José C. Sabina de Lis
+	Nondegeneracy and uniqueness for boundary blow-up elliptic problems	2005	Jorge García-Melián
+	Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores	2004	Jorge García-Melián
+	Boundary blow-up solutions to elliptic systems of competitive type	2004	Jorge García-Melián Julio D. Rossi
+	Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights	2004	Martin Chuaqui Carmen Cortázar Manuel Elgueta Jorge García-Melián
+	On an elliptic problem with boundary blow-up and a singular weight: the radial case	2003	Martin Chuaqui Carmen Cortázar Manuel Elgueta César M. Fuentes R. Letelier Jorge García-Melián
+	A remark on the existence of large solutions via sub and supersolutions	2003	Jorge García-Melián
+	ON THE BEHAVIOUR OF THE FIRST EIGENFUNCTION OF THE $p$-LAPLACIAN NEAR ITS CRITICAL POINTS	2003	Jorge García-Melián
+ PDF Chat	Existence and Uniqueness of Positive Large Solutions to Some Cooperative Elliptic Systems	2003	Jorge García-Melián António Suárez
+	Multiplicity of solutions to a degenerate diffusion problem	2003	Jorge García-Melián José C. Sabina de Lis
+	Local bifurcation from the second eigenvalue of the Laplacian in a square	2003	Manuel del Pino Jorge García-Melián Monica Musso
+	A Local Bifurcation Theorem for Degenerate Elliptic Equations With Radial Symmetry	2002	Jorge García-Melián José C. Sabina de Lis
+ PDF Chat	Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up	2001	Jorge García-Melián R. Letelier-Albornoz José C. Sabina de Lis
+	Asymptotic Profiles of Nonlinear Diffusion Problems	2000	Jorge García-Melián José C. Sabina de Lis
+ PDF Chat	Stationary profiles of degenerate problems when a parameter is large	2000	Jorge García-Melián José C. Sabina de Lis
+	Eigenvalue analysis for the p-Laplacian under convective perturbation	1999	Jorge García-Melián José C. Sabina de Lis M. A. SANABRIA-GARCÍA
+ PDF Chat	Pointwise Growth and Uniqueness of Positive Solutions for a Class of Sublinear Elliptic Problems where Bifurcation from Infinity Occurs	1998	Jorge García-Melián R. Gómez-Reñasco Julián López-Gómez José C. Sabina de Lis
+	Maximum and Comparison Principles for Operators Involving thep-Laplacian	1998	Jorge García-Melián José C. Sabina de Lis
+	The behaviour, of stationary solutions to some nonlinear diffusion problems	1997	Jorge García-Melián José C. Sabina de Lis

Common Coauthors

Coauthor	Papers Together
José C. Sabina de Lis	29
Alexander Quaas	23
Julio D. Rossi	22
Begoña Barrios	11
Manuel Elgueta	11
Carmen Cortázar	11
Leandro M. Del Pezzo	7
Salomón Alarcón	7
Leonelo Iturriaga	5
M.Á. Burgos-Pérez	4
António Suárez	3
Boyan Sirakov	3
Salomé Martínez	2
Martin Chuaqui	2
R. Letelier-Albornoz	2
Fernando Quirós	1
Manuel del Pino	1
Eduardo Colorado	1
M. A. SANABRIA-GARCÍA	1
Peter Takáč	1
Julián López-Gómez	1
César M. Fuentes	1
Cristian Morales-Rodrigo	1
R. Letelier	1
Salomé Martínez	1
Humberto Ramos Quoirin	1
Monica Musso	1
R. Gómez-Reñasco	1
S. Martínez	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	48
+	‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour	1992	Catherine Bandle Moshe Marcus	27
+ PDF Chat	Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up	2001	Jorge García-Melián R. Letelier-Albornoz José C. Sabina de Lis	24
+	Explosive solutions of quasilinear elliptic equations: existence and uniqueness	1993	Gema Díaz‐Gil R. Letelier	22
+ PDF Chat	Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations	1997	Moshe Marcus Лаурент Верон	20
+	Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations	1999	Yihong Du Qingguang Huang	19
+ PDF Chat	?u=e u und die automorphen Funktionen	1916	Ludwig Bieberbach	19
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	18
+	A priori bounds for positive solutions of nonlinear elliptic equations	1981	Basilis Gidas Joel Spruck	18
+	On solutions of δ<i>u</i>=<i>f</i>(<i>u</i>)	1957	Joachim Keller	17
+	The influence of domain geometry in boundary blow-up elliptic problems	2002	Manuel del Pino R. Letelier	16
+	Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights	2004	Martin Chuaqui Carmen Cortázar Manuel Elgueta Jorge García-Melián	16
+	A remark on the existence of explosive solutions for a class of semilinear elliptic equations	2000	Zhijun Zhang	14
+ PDF Chat	On the inequality Δ<i>u</i>≥<i>f</i>(<i>u</i>)	1957	Robert Osserman	14
+	On an elliptic problem with boundary blow-up and a singular weight: the radial case	2003	Martin Chuaqui Carmen Cortázar Manuel Elgueta César M. Fuentes R. Letelier Jorge García-Melián	14
+	Global and local behavior of positive solutions of nonlinear elliptic equations	1981	Basilis Gidas Joel Spruck	14
+	Semilinear elliptic equations with uniform blow-up on the boundary	1992	Лаурент Верон	13
+	Nondegeneracy and uniqueness for boundary blow-up elliptic problems	2005	Jorge García-Melián	13
+	Linear and quasilinear elliptic equations	1968	O. A. Ladyzhenskai︠a︡ N. N. Uraltseva	13
+ PDF Chat	Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle	2011	Scott N. Armstrong Boyan Sirakov	12
+	Effects of a Degeneracy in the Competition Model	2002	Yihong Du	12
+	A Strong Maximum Principle for some quasilinear elliptic equations	1984	Juan-Luis V�zquez	12
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf	12
+	Fundamental solutions and Liouville type theorems for nonlinear integral operators	2010	Patricio Felmer Alexander Quaas	12
+	Effects of a Degeneracy in the Competition Model	2002	Yihong Du	11
+	Boundary regularity for solutions of degenerate elliptic equations	1988	Gary M. Lieberman	11
+	LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS	1969	D. E. Edmunds	11
+	Effects of Certain Degeneracies in the Predator-Prey Model	2002	E. N. Dancer Yihong Du	11
+ PDF Chat	Regularity theory for fully nonlinear integro‐differential equations	2009	Luis Caffarelli Luís Silvestre	10
+	The boundary blow-up rate of large solutions	2003	Julián López-Gómez	10
+	On a problem of Bieberbach and Rademacher	1993	A. C. Lazer P. J. McKenna	10
+ PDF Chat	Existence and Uniqueness of Positive Large Solutions to Some Cooperative Elliptic Systems	2003	Jorge García-Melián António Suárez	10
+	Remarks on sublinear elliptic equations	1986	Haı̈m Brezis Luc Oswald	10
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre	10
+	Nonlinear Parabolic and Elliptic Equations	1993	C. V. Pao	10
+	On The Dirichletproblem for Quasilinear Equations	1983	Peter Tolksdorf	9
+ PDF Chat	Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations	2003	Yanyan Li Lei Zhang	9
+	Boundary blow-up solutions to elliptic systems of competitive type	2004	Jorge García-Melián Julio D. Rossi	9
+	Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains	2004	Vladimir Kondratiev Vitali Liskevich Vitaly Moroz	9
+	Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces	1976	Herbert Amann	9
+ PDF Chat	Superlinear indefinite elliptic problems and nonlinear Liouville theorems	1994	Henri Berestycki Italo Capuzzo Dolcetta Louis Nirenberg	9
+	Optimal uniqueness theorems and exact blow-up rates of large solutions	2005	Julián López-Gómez	9
+	A bifurcation problem governed by the boundary condition I	2007	Jorge García-Melián José C. Sabina de Lis Julio D. Rossi	9
+ PDF Chat	On the Liouville property for fully nonlinear equations	2000	Alessandra Cutrı̀ Fabiana Leoni	8
+	Elliptic Eigenvalue Problems and Unbounded Continua of Positive Solutions of a Semilinear Elliptic Equation	1996	José M. Fraile Pablo Koch‐Medina Julián López-Gómez Sandro Merino	8
+	Positive Solutions of Emden Equations in Cone-Like Domains	1992	Catherine Bandle Matts Essén	8
+	Uniqueness for boundary blow-up problems with continuous weights	2007	Jorge García-Melián	8
+	A bifurcation problem governed by the boundary condition II	2006	Jorge García-Melián Julio D. Rossi José C. Sabina de Lis	8
+ PDF Chat	Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities	2002	James Serrin Henguui Zou	8
+	The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary	2013	Xavier Ros‐Oton Joaquim Serra	8