Pairs of positive solutions for \(p\)-Laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition

DOI10.1016/j.na.2008.07.042zbMath1163.35393OpenAlexW2005302727MaRDI QIDQ1015822

Eugénio M. Rocha, Nikolaos S. Papageorgiou

Publication date: 30 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.042

zbMATH Keywords

mountain pass theorempositive solutions\(p\)-LaplacianEkeland variational principleAmbrosetti-Rabinowitz conditionCerami condition\((p - 1)\)-superlinear nonlinearity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

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