Existence and multiplicity of solutions for nonlocal \(\overrightarrow{p}(x)\)-Laplacian problem

DOI10.11650/tjm.18.2014.2596zbMath1357.35141OpenAlexW1978341828MaRDI QIDQ514658

M. Mirzapour, Ghasem Alizadeh Afrouzi

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.2596

zbMATH Keywords

mountain pass theoremanisotropic Sobolev spacesFountain theoremvariable exponentdual Fountain theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (2)

Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities ⋮ Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition

Cites Work

• Dual variational methods in critical point theory and applications
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Unnamed Item

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