Infinitely many sign-changing solutions for the Brézis-Nirenberg problem

DOI10.3934/cpaa.2014.13.2317zbMath1305.35061OpenAlexW2326444074MaRDI QIDQ479537

Shiwang Ma, Ji-Jiang Sun

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2317

zbMATH Keywords

invariant setscritical exponentminimax methodsign-changing solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (9)

Infinitely many sign-changing solutions to some quasilinear equation involving exponential term ⋮ Infinitely many sign-changing solutions for the Brézis-Nirenberg problem involving the fractional Laplacian ⋮ Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method ⋮ Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system ⋮ Existence and multiplicity of sign-changing solutions for Klein-Gordon equation coupled with Born-Infeld theory with subcritical exponent ⋮ Localized nodal solutions for a critical nonlinear Schrödinger equation ⋮ Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms ⋮ Infinitely many sign-changing solutions for Kirchhoff type problems in \(\mathbb{R}^3\) ⋮ Infinitely many sign-changing solutions for the Hardy-Sobolev-Maz'ya equation involving critical growth

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