Existence of positive ground solutions for biharmonic equations via Pohožaev-Nehari manifold

DOI10.12775/TMNA.2018.015zbMath1439.35157OpenAlexW2899791873MaRDI QIDQ1741785

Haibo Chen, Li-Ping Xu

Publication date: 7 May 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1541473235

zbMATH Keywords

concentration-compactness principlebiharmonic equationsNehari manifoldground state solutionsPohožaev manifold

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Nontrivial solutions of modified nonlinear fourth-order elliptic equation in \(\mathbb{R}^N\) ⋮ Ground state solution of critical biharmonic equation with Hardy potential and \(p\)-Laplacian ⋮ Existence of nontrivial solutions for modified nonlinear fourth-order elliptic equations with indefinite potential ⋮ Ground state solutions for fourth order Schrödinger equations involving \(u \Delta (u^2)\) and variable potentials ⋮ Low perturbations of p-biharmonic equations with competing nonlinearities

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