Existence of ground state solutions for Kirchhoff type problem without the Ambrosetti-Rabinowitz condition

DOI10.1016/j.aml.2020.106866zbMath1459.35190OpenAlexW3104702782MaRDI QIDQ2225284

Tingting Huang, Shengbing Deng

Publication date: 8 February 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106866

zbMATH Keywords

critical exponential growthexistence of ground state solutionKirchhoff-type problem without (AR) condition

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

Ground state solution to N-Kirchhoff equation with critical exponential growth and without Ambrosetti-Rabinowitz condition

Cites Work

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• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
• Dual variational methods in critical point theory and applications
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• N-Laplacian Equations in ℝ^N with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian

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