Classification of low energy sign-changing solutions of an almost critical problem

DOI10.1016/j.jfa.2007.05.024zbMath1155.35371OpenAlexW2162402673MaRDI QIDQ2456988

Filomena Pacella, Mohamed Ben Ayed, Khalil O. El Mehdi

Publication date: 29 October 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.05.024

zbMATH Keywords

critical exponentnodal domainblow-up analysissign changing solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

A Morse index formula for radial solutions of Lane-Emden problems ⋮ Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem ⋮ Lane-Emden problems: asymptotic behavior of low energy nodal solutions ⋮ New concentration phenomena for a class of radial fully nonlinear equations ⋮ Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries ⋮ Lane Emden problems with large exponents and singular Liouville equations ⋮ Asymptotic analysis and sign-changing bubble towers for Lane-Emden problems ⋮ Exact Morse index computation for nodal radial solutions of Lane-Emden problems ⋮ Sign-changing tower of bubbles for the Brezis–Nirenberg problem ⋮ Blow up of solutions of semilinear heat equations in general domains

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