The existence of nontrivial solution to a class of nonlinear Kirchhoff equations without any growth and Ambrosetti-Rabinowitz conditions

DOI10.1016/j.aml.2019.04.027zbMath1427.35057OpenAlexW2944350658WikidataQ127921312 ScholiaQ127921312MaRDI QIDQ2274833

Yuhua Li, Qian Geng

Publication date: 1 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.04.027

zbMATH Keywords

existence of solutionsKirchhoff equationsMoser iteration

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Cites Work

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• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Study of a nonlinear Kirchhoff equation with non-homogeneous material
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• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Minimax theorems
• Existence of positive solutions to Kirchhoff type problems with zero mass
• Dual variational methods in critical point theory and applications
• Ground states for Kirchhoff equations without compact condition
• Multiple positive solutions for Kirchhoff type problems involving concave-convex nonlinearities
• Existence and multiplicity results for some superlinear elliptic problems on R^N