Quasilinear elliptic equations with slowly growing principal part and critical Orlicz–Sobolev nonlinear term

DOI10.1017/S0308210507000765zbMath1169.35017OpenAlexW2113752209MaRDI QIDQ3616451

Kimiaki Narukawa, Nobuyoshi Fukagai, Masayuki Ito

Publication date: 25 March 2009

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210507000765

zbMATH Keywords

variational methodsquasilinear elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (15)

Generalized Choquard equations driven by nonhomogeneous operators ⋮ Existence of multi-peak solutions for a class of quasilinear problems in Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ Nonhomogeneous multiparameter problems in Orlicz–Sobolev spaces ⋮ Positive solutions for a class semipositone quasilinear problem with Orlicz–Sobolev critical growth ⋮ Unnamed Item ⋮ Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole ℝ2 ⋮ Existence of saddle-type solutions for a class of quasilinear problems in \(\mathbb{R}^2\) ⋮ Multiplicity and concentration behavior of positive solutions for a quasilinear problem in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition via penalization method ⋮ Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz–Sobolev spaces ⋮ Existence and multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ Existence and multiplicity of solutions for a class of quasilinear problems in Orlicz-Sobolev spaces without Ambrosetti-Rabinowitz condition ⋮ Existence and multiplicity of solutions for a class of (\(\phi_1,\phi_2\))-Laplacian elliptic system in \(\mathbb R^N\) via genus theory ⋮ Multiple positive solutions for a quasilinear elliptic equation with critical exponential nonlinearity ⋮ Strongly nonlinear multivalued elliptic equations on a bounded domain

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