Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations
type: Item
instance of: scholarly article
title: Study of multiplicity and uniqueness of solutions for a class of nonhomogeneous sublinear elliptic equations
zbMATH Open document ID: 1210.35088
author: Mohamed Benrhouma
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-03-14T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B60
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 5865542
zbMATH Keywords: sublinear elliptic equation
zbMATH Keywords: continuity solutions
zbMATH Keywords: concentration-compactness principle
zbMATH Keywords: mountain-pass theorem
MaRDI profile type: Publication
full work available at URL: j.na.2010.12.022
OpenAlex ID: W1972765969
cites work: The dual variational principle and elliptic problems with discontinuous nonlinearities
cites work: Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
cites work: A Perturbation Method in Critical Point Theory and Applications
cites work: On the existence of a positive solution of semilinear elliptic equations in unbounded domains
cites work: Positive solutions of some nonlinear elliptic problems in exterior domains
cites work: Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear elliptic problems
cites work: Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
cites work: Positive solutions of an elliptic partial differential equation on \(\mathbb{R}^N\)
cites work: Existence of entire positive solutions for nonhomogeneous elliptic equations
cites work: Two positive solutions for a class of nonhomogeneous elliptic equations
cites work: Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
cites work: Multiple positive solutions of some elliptic equations in \(\mathbb{R}^N\)
cites work: A perturbation result on positive entire solutions of a semilinear elliptic equation
cites work: Remarks on sublinear elliptic equations
cites work: The multiplicity of solutions in non-homogeneous boundary value problems
cites work: Multiple solutions of sublinear Lane-Emden elliptic equations
cites work: Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations
cites work: Existence results for an indefinite unbounded perturbation of a resonant Schrödinger equation
cites work: Nodal solutions for a sublinear elliptic equation
cites work: On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity
cites work: Q4656832
cites work: Dual variational methods in critical point theory and applications
cites work: Nonconvex minimization problems
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
DOI: 10.1016/J.NA.2010.12.022
description: scientific article; zbMATH DE number 5865542