Existence of solutions for elliptic equations without superquadraticity condition

DOI10.1007/S11464-012-0211-8zbMath1255.35114OpenAlexW1988999253MaRDI QIDQ1758125

Yimin Zhang, Yao-Tian Shen

Publication date: 7 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0211-8

zbMATH Keywords

mountain passPalais-Smale type conditionsuperquadraticity condition (SQC)weakly superquadraticity condition (WSQC)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Positive solutions to PDEs (35B09)

Related Items (5)

Fractional \(p\)-Laplacian equations with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition ⋮ Fractional Kirchhoff-type problems with exponential growth without the Ambrosetti-Rabinowitz condition ⋮ Unnamed Item ⋮ Two types of quasilinear elliptic equations with degenerate coerciveness and slightly superlinear growth ⋮ Critical fractional elliptic equations with exponential growth

Cites Work

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• Positive solutions for a nonhomogeneous elliptic equation on \(\mathbb R^N\) without (AR) condition
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• 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
• Variational elliptic problems which are nonquadratic at infinity
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian

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