Existence of multiple positive solutions for nonhomogeneous elliptic problems in \(\mathbb R^{N}\)

DOI10.1016/j.na.2012.05.012zbMath1252.35135OpenAlexW2032078738MaRDI QIDQ450603

Tiexiang Li, Tsung-fang Wu

Publication date: 13 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.05.012

zbMATH Keywords

multiple positive solutionsnonhomogeneous elliptic problemsPalais-Smale

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Positive solutions to PDEs (35B09)

Related Items

Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity ⋮ Ground state solutions and multiple solutions for nonhomogeneous Schrödinger equations with Berestycki–Lions type conditions ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness

Cites Work

• Unnamed Item
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• On a min-max procedure for the existence of a positive solution for certain scalar field equations in \({\mathbb{R}}^ N\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• Positive solutions of some nonlinear elliptic problems in exterior domains
• Remarks on a semilinear elliptic equation on \({\mathbb{R}}^ n\)
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• A perturbation result on positive entire solutions of a semilinear elliptic equation
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Two positive solutions for a class of nonhomogeneous elliptic equations
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
• On the variational principle
• Multiple positive solutions for nonhomogeneous elliptic equations.
• Symmetry breaking in a bounded symmetry domain
• Minimax theorems
• Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
• Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on Rn
• Critical points and nonlinear variational problems
• Existence of entire positive solutions for nonhomogeneous elliptic equations
• Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝ^N
• Multiple positive solutions of non-homogeneous elliptic equations in exterior domains
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations

This page was built for publication: Existence of multiple positive solutions for nonhomogeneous elliptic problems in \(\mathbb R^{N}\)