Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains

DOI10.1016/j.matpur.2006.10.006zbMath1215.35070OpenAlexW1973438322MaRDI QIDQ864194

Monica Musso, Angela Pistoia

Publication date: 13 February 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.10.006

zbMATH Keywords

critical Sobolev exponentsign changing solutionmultiple blow up

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (22)

Boundary bubbling solutions for a supercritical Neumann problem with mixed nonlinearities ⋮ Sign-changing solutions at the almost Hénon critical exponent ⋮ New radial solutions of strong competitive \(m\)-coupled elliptic system with general form in \(B_1(0)\) ⋮ Sign-changing bubble tower solutions for a critical fractional problem ⋮ Sign-changing bubble tower solutions for the supercritical Hénon-type equations ⋮ Boundary clustered layers near the higher critical exponents ⋮ Sign-changing bubble tower solutions for a supercritical elliptic problem with the Hénon term ⋮ Coron's problem for the critical Lane-Emden system ⋮ Boundary towers of layers for some supercritical problems ⋮ Multiple blow-up phenomena for the sinh-Poisson equation ⋮ TWO SOLUTIONS OF THE BAHRI–CORON PROBLEM IN PUNCTURED DOMAINS VIA THE FIXED POINT TRANSFER ⋮ High energy sign-changing solutions for Coron's problem ⋮ Multiple solutions to the pure critical exponent problem in domains with a hole of arbitrary size ⋮ Supercritical problems in domains with thin toroidal holes ⋮ Multiplicity of solutions to nearly critical elliptic equation in the bounded domain of \(\mathbb{R}^3\) ⋮ Existence and nonexistence of sign-changing solutions to elliptic critical equations ⋮ Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains ⋮ Multipeak solutions to the Bahri-Coron problem in domains with a shrinking hole ⋮ A fountain of positive bubbles on a Coron's problem for a competitive weakly coupled gradient system ⋮ Nondegeneracy of the bubble for the critical p-Laplace equation ⋮ Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology ⋮ Multiple solutions to the Bahri–Coron problem in domains with a shrinking hole of positive dimension

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