Some existence results for a paneitz type problem via the theory of critical points at infinity

DOI10.1016/j.matpur.2004.09.012zbMath1210.35102arXivmath/0305198OpenAlexW2019546204MaRDI QIDQ1775763

Mokhless Hammami, Mohamed Ben Ayed, Khalil O. El Mehdi

Publication date: 4 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0305198

zbMATH Keywords

critical Sobolev exponentcritical points at infinitylack of compactness

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations (35J61)

Related Items (9)

Infinitely many peak solutions for a biharmonic equation involving critical exponent ⋮ Q-curvature type problem on bounded domains of R n ⋮ Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications ⋮ Infinitely many solutions for the prescribed curvature problem of polyharmonic operator ⋮ Existence and concentration of positive solutions for a super-critical fourth order equation ⋮ Existence results and a priori bounds for higher order elliptic equations and systems ⋮ Single blow-up solutions for a slightly subcritical biharmonic equation ⋮ Concentration and multiplicity of solutions for a fourth-order equation with critical nonlinearity ⋮ Concentration Phenomena in a Biharmonic Equation Involving the Critical Sobolev Exponent

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