A priori bounds for positive solutions of nonlinear elliptic equations

Basilis Gidas, Joel Spruck

Type: Article

Publication Date: 1981-01-01

Citations: 827

DOI: https://doi.org/10.1080/03605308108820196

View Publication

Locations

Communications in Partial Differential Equations - View

Similar Works

Action	Title	Year	Authors
+	A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient	2018	Colette De Coster Antonio J. Fernández
+	A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient	2018	Colette De Coster A. Fernández Louis Jeanjean
+ PDF Chat	Boundedness, a priori estimates and existence of solutions of elliptic systems with nonlinear boundary conditions	2011	I. Kosírová Pavol Quíttner
+	A priori bounds and a Liouville theorem on a half-space for higher order elliptic Dirichlet problems	2007	Wolfgang Reichel Tobias Weth
+	A priori estimates	2012	Paolo Mastrolia Marco Rigoli Alberto G. Setti
+	A priori estimates for elliptic boundary value problems with nonlinear boundary conditions	1995	Jong‐Yun Kim Dongwoo Sheen
+	Mesh-independent a priori bounds for nonlinear elliptic finite difference boundary value problems	2014	P. J. McKenna Wolfgang Reichel A. Verbitsky
+	Liouville Type Theorems, Monotonicity Results and a Priori Bounds for Positive Solutions of Elliptic Systems	2005	Djairo G. de Figueiredo Boyan Sirakov
+ PDF Chat	A priori estimates for elliptic problems via Liouville type theorems	2019	Laura Baldelli Roberta Filippucci
+	SOLVABILITY OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS USING A PRIORI ESTIMATES	1980	R. Kent Nagle Karen Singkofer
+	A method of a Priori estimates for linear and nonlinear Riemann boundary value problems	2008	Г. М. Магомедов A. M. Nurmagomedov
+	A-priori Bounds and Positive Solutions to a Class of Quasilinear Elliptic Equations	2005	Marcelo Montenegro Francisco Odair de Paiva
+ PDF Chat	A Priori Bounds for Positive Solutions of a Semilinear Elliptic Equation	1985	Chris Cosner Klaus Schmitt
+ PDF Chat	A priori bounds for positive solutions of subcritical elliptic equations	2015	Alfonso Castro Rosa Pardo
+	A priori estimates for solutions to elliptic equations on non-smooth domains	2002
+	A priori bounds for superlinear elliptic equations with semidefinite nonlinearity	2016	Yūki Naito Takashi Suzuki Yohei Toyota
+	Equivalence between uniform $L^{2^\star}(\Omega)$ a-priori bounds and uniform $L^{\infty}(\Omega)$ a-priori bounds for subcritical elliptic equations	2019	Alfonso Castro Nsoki Mavinga Rosa Pardo
+	A priori estimates and existence theorem on elliptic boundary value problems for unbounded domains	1968	Yoshiki Higuchi
+	A priori bounds for positive solutions of nonlinear elliptic equations in two variables	1974	R. E. Turner
+	Boundary singularities of positive solutions of some nonlinear elliptic equations	2006	Marie‐Françoise Bidaut‐Véron Augusto C. Ponce Лаурент Верон

Works That Cite This (810)

Action	Title	Year	Authors
+ PDF Chat	Multiplicity of solutions for a higher $ m $-polyharmonic Kirchhoff type equation on unbounded domains	2024	Abdellaziz Harrabi Mohamed Karim Hamdani Alessio Fiscella
+	Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity	2016	Shanming Ji Jingxue Yin Yang Cao
+	Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave–convex right-hand side	2009	Fernando Charro Eduardo Colorado Ireneo Peral
+ PDF Chat	Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems	2014	Alexandre Montaru Boyan Sirakov Philippe Souplet
+ PDF Chat	Liouville theorems for the polyharmonic Hénon-Lane-Emden system	2014	Mostafa Fazly
+	Liouville-type theorems and decay estimates for solutions to higher order elliptic equations	2012	Guozhen Lu Peiyong Wang Jiuyi Zhu
+ PDF Chat	Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods	2023	Abdelrazek Dieb Isabella Ianni Alberto Saldaña
+	Liouville‐type results for a class of quasilinear elliptic systems and applications	2018	E. N. Dancer Hui Yang Wenming Zou
+	Sobolev hyperbola for the periodic parabolic Lane–Emden system	2019	Haochuan Huang Rui Huang Jingxue Yin Yang Cao
+	Conformal metrics with prescribed scalar and mean curvature	2022	Sergio Cruz-Blázquez Andrea Malchiodi David Ruiz

Works Cited by This (7)

Action	Title	Year	Authors
+	A priori bounds for positive solutions of nonlinear elliptic equations in two variables	1974	R. E. Turner
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey
+	Dual variational methods in critical point theory and applications	1973	Antonio Ambrosetti Paul H. Rabinowitz
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg
+	Positive solutions of nonlinear elliptic boundary value problems	1975	Roger D. Nussbaum
+	On a class of superlinear elliptic problems	1977	Haı̈m Brezis R. E. Turner
+	Global and local behavior of positive solutions of nonlinear elliptic equations	1981	Basilis Gidas Joel Spruck