Multiple solutions to the Bahri–Coron problem in domains with a shrinking hole of positive dimension

DOI10.1080/17476931003628265zbMath1260.35061OpenAlexW2088467868MaRDI QIDQ3145020

Massimo Grossi, Mónica Clapp, Angela Pistoia

Publication date: 13 December 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476931003628265

zbMATH Keywords

multiple solutionsBahri-Coron problempure critical exponent

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (5)

Singular solutions of elliptic equations on a perturbed cone ⋮ On the pure critical exponent problem for the \(p\)-Laplacian ⋮ A supercritical variable exponent problem ⋮ Supercritical elliptic problems involving a Cordes like operator ⋮ Multiple solutions to the Bahri-Coron problem in some domains with nontrivial topology

Cites Work

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• TWO SOLUTIONS OF THE BAHRI–CORON PROBLEM IN PUNCTURED DOMAINS VIA THE FIXED POINT TRANSFER
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains

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