The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition

DOI10.1016/j.na.2010.02.037zbMath1190.35104OpenAlexW1541537488MaRDI QIDQ972413

Gongbao Li, Caiyun Yang

Publication date: 25 May 2010

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.2010.02.037

zbMATH Keywords

nontrivial solutions\(p\)-Laplacian equationAmbrosetti-Rabinowitz conditionsubcritical

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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