On a bi-harmonic equation involving critical exponent: existence and multiplicity results

DOI10.1016/S0252-9602(11)60311-1zbMath1249.53040MaRDI QIDQ423202

Ridha Yacoub, Hichem Chtioui, Zakaria Boucheche

Publication date: 1 June 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Morse inequalitiesPalais-Smale conditioncritical points at infinityMorse lemma at infinity

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Q-curvature type problem on bounded domains of R n ⋮ Existence result for an elliptic equation involving critical exponent in three-dimensional domains ⋮ On a critical fourth order PDE with Navier boundary condition

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