LEAST ENERGY NODAL SOLUTIONS OF THE BREZIS–NIRENBERG PROBLEM IN DIMENSION N = 5

DOI10.1142/S0219199709003314zbMath1178.35175MaRDI QIDQ3622803

Paolo Roselli, Michel Willem

Publication date: 28 April 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentnodal solutionsBrezis-Nirenberg problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items

Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case ⋮ An existence result for sign-changing solutions of the Brézis-Nirenberg problem ⋮ New multiplicity results for critical \(p\)-Laplacian problems ⋮ The Brézis-Nirenberg type problem for the \(p\)-Laplacian: infinitely many sign-changing solutions ⋮ Least energy positive solutions for \(d\)-coupled Schrödinger systems with critical exponent in dimension three ⋮ Sign-changing solutions of an elliptic system with critical exponent in dimension \(N= 5 \) ⋮ Least energy sign-changing solutions of Kirchhoff-type equation with critical growth ⋮ Least energy radial sign-changing solutions for a singular elliptic equation in lower dimensions

Cites Work

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• A sign-changing solution for a superlinear Dirichlet problem
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• A note on additional properties of sign changing solutions to superlinear elliptic equations
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• On multiple solutions of △u+λu+|u|4(n−2)u = 0
• Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains
• The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain
• A MULTIPLICITY RESULT FOR ELLIPTIC EQUATIONS AT CRITICAL GROWTH IN LOW DIMENSION