A note on the Ambrosetti-Rabinowitz condition for an elliptic system

DOI10.1016/J.AML.2012.03.003zbMath1253.35051OpenAlexW1985224589MaRDI QIDQ712640

Zhijie Chen, Wen Ming Zou

Publication date: 17 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.03.003

zbMATH Keywords

elliptic systemAmbrosetti-Rabinowitz conditionmountain pass solutionexistence and multiplicity of solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Related Items (4)

Existence of infinitely many high energy solutions for a fractional Schrödinger equation in \(\mathbb{R}^N\) ⋮ Existence and multiplicity of solutions for a class of superlinear elliptic systems ⋮ Existence of solutions for a class of Kirchhoff type problems in Orlicz–Sobolev spaces ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS TO A CLASS OF NONCOOPERATIVE ELLIPTIC SYSTEMS WITH SUPERLINEAR NONLINEAR TERMS

Cites Work

• Unnamed Item
• Multiple solutions for elliptic systems with nonlinearities of arbitrary growth
• Infinitely many solutions for symmetric and non-symmetric elliptic systems
• The proof of the Lane-Emden conjecture in four space dimensions
• Dual variational methods in critical point theory and applications
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Elliptic systems with nonlinearities of arbitrary growth

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