Existence of solutions for a perturbation sublinear elliptic equation in \(\mathbb R^N\)
type: Item
instance of: scholarly article
title: Existence of solutions for a perturbation sublinear elliptic equation in \(\mathbb R^N\)
zbMATH Open document ID: 1202.35097
author: Mohamed Benrhouma
author: Hichem Ounaies
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2010-10-29T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 5808449
zbMATH Keywords: semilinear elliptic equation
zbMATH Keywords: concentration-compactness principle
zbMATH Keywords: variational methods
MaRDI profile type: Publication
full work available at URL: s00030-010-0076-z
OpenAlex ID: W2061265998
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: Dual variational methods in critical point theory and applications
cites work: Homoclinics: Poincaré-Melnikov type results via a variational approach
cites work: Existence of positive solutions for a class of nonhomogeneous elliptic equations in \({\mathbb R}^N\)
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: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear scalar field equations. II: Existence of infinitely many solutions
cites work: Nodal solutions for a sublinear elliptic equation
cites work: Positive solutions of some nonlinear elliptic problems in exterior domains
cites work: Existence and uniqueness of positive solution for nonhomogeneous sublinear elliptic equations
cites work: On the Bolza problem
cites work: On a semilinear elliptic problem in \(\mathbb{R}^ N\) with a non-Lipschitzian nonlinearity
cites work: Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
cites work: Q4656832
cites work: Solutions for a nonhomogeneous nonlinear Schrödinger equation with double power nonlinearity.
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 solutions of sublinear Lane-Emden elliptic equations
cites work: Non-radial solutions with group invariance for the sublinear Emden-Fowler equation.
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
cites work: Study of an elliptic equation with a singular potential
cites work: Multiple Critical Points of Perturbed Symmetric Functionals
cites work: Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
cites work: Existence results for an indefinite unbounded perturbation of a resonant Schrödinger equation
cites work: A perturbation result on positive entire solutions of a semilinear elliptic equation
cites work: Q3480508
DOI: 10.1007/S00030-010-0076-Z
description: scientific article; zbMATH DE number 5808449