Some existence results for a class of fourth order elliptic equations with nonsmooth potential

DOI10.1216/RMJ-2010-40-5-1729zbMath1205.35075OpenAlexW2007857304MaRDI QIDQ613543

Guoqing Zhang, San-Yang Liu

Publication date: 21 December 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-5-1729

zbMATH Keywords

local linkingnonsmooth functionalsexistence and multiplicity resultsasymptotically linear

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35) Positive solutions to PDEs (35B09)

Cites Work

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• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• A New Approach to Lagrange Multipliers
• Multiplicity results for a fourth-order semilinear elliptic problem
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian
• Existence results for some fourth-order nonlinear elliptic problems

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