Multipeak solutions to the Bahri-Coron problem in domains with a shrinking hole

DOI10.1016/j.jfa.2008.06.034zbMath1236.35044OpenAlexW2115935806MaRDI QIDQ1004361

Monica Musso, Mónica Clapp, Angela Pistoia

Publication date: 3 March 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.06.034

zbMATH Keywords

nonlinear elliptic boundary value problemmultipeak solutionspure critical exponent

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (13)

Sign-changing bubble tower solutions for a critical fractional problem ⋮ Infinitely many non-radial solutions to a critical equation on annulus ⋮ Multipeak solutions for asymptotically critical elliptic equations on Riemannian manifolds ⋮ Concentration on the Clifford torus for the critical problem in an annulus ⋮ Coron's problem for the critical Lane-Emden system ⋮ High energy sign-changing solutions for Coron's problem ⋮ On the pure critical exponent problem for the \(p\)-Laplacian ⋮ Asymptotically radial solutions in expanding annular domains ⋮ Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains ⋮ On the number of critical points of solutions of semilinear elliptic equations ⋮ 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 ⋮ Sign-changing blowing-up solutions for supercritical Bahri-Coron's problem

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