Infinitely many solutions for \(p\)-biharmonic equation with general potential and concave-convex nonlinearity in \(\mathbb{R}^{N}\)

DOI10.1186/s13661-015-0510-6zbMath1332.35130OpenAlexW2240042945WikidataQ59468446 ScholiaQ59468446MaRDI QIDQ904000

Caisheng Chen, Lihua Liu

Publication date: 15 January 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0510-6

zbMATH Keywords

variational methodselliptic equationmountain pass lemma\(p\)-biharmonic

Mathematics Subject Classification ID

Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

\((p, q)\) systems with critical terms in \(\mathbb{R}^N\) ⋮ Strictly or semitrivial principal eigensurface for \((p, q)\)-biharmonic systems ⋮ Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator ⋮ Unnamed Item ⋮ Existence and nonexistence for boundary problem involving the \(p\)-biharmonic operator and singular nonlinearities ⋮ Nontrivial solutions for a \((p, q)\)-type critical Choquard equation on the Heisenberg group ⋮ Existence results for perturbed fourth-order Kirchhoff type elliptic problems with singular term ⋮ Critical equations with Hardy terms in the Heisenberg group ⋮ Low perturbations of p-biharmonic equations with competing nonlinearities ⋮ Existence of nontrivial weak solutions for \(p\)-biharmonic Kirchhoff-type equations

Cites Work

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