Existence and multiplicity results for a fourth order mean field equation

DOI10.1016/j.jfa.2010.01.009zbMath1190.35113OpenAlexW2078157924WikidataQ125370364 ScholiaQ125370364MaRDI QIDQ971802

Mohameden Ould Ahmedou, Mohamed Ben Ayed

Publication date: 17 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.01.009

zbMATH Keywords

Morse theorytopological methodscritical point at infinityfourth order nonlinear elliptic equation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Quasilinear elliptic equations with mean curvature operator (35J93) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Topological and monotonicity methods applied to PDEs (35A16)

Related Items

Theory of ``critical points at infinity and a resonant singular Liouville-type equation, On a resonant mean field type equation: a ``critical point at infinity approach, On a quasilinear mean field equation with an exponential nonlinearity

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