Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition

DOI10.12775/TMNA.2017.037zbMath1396.35010arXiv1803.06837MaRDI QIDQ1639917

Dušan D. Repovš, Qihu Zhang, Gang Li, Vicenţiu D. Rădulescu

Publication date: 13 June 2018

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

Full work available at URL: https://arxiv.org/abs/1803.06837

zbMATH Keywords

Dirichlet problem\(p(x)\)-Laplace operatorCerami compactess condition

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Multiplicity of solutions for a class of fractional \(p(x,\cdot)\)-Kirchhoff-type problems without the Ambrosetti-Rabinowitz condition ⋮ Nehari type ground state solutions for periodic Schrödinger–Poisson systems with variable growth ⋮ Fractional weighted \(p\)-Kirchhoff equations with general nonlinearity ⋮ New class of sixth-order nonhomogeneous \(p(x)\)-Kirchhoff problems with sign-changing weight functions ⋮ On a class of \(p(x)\)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions ⋮ On a class of Kirchhoff-Choquard equations involving variable-order fractional \(p(\cdot)\)-Laplacian and without Ambrosetti-Rabinowitz type condition ⋮ Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator ⋮ Quasilinear elliptic problem without Ambrosetti–Rabinowitz condition involving a potential in Musielak–Sobolev spaces setting

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