Existence and multiplicity of solutions for a class of (\(\phi_1,\phi_2\))-Laplacian elliptic system in \(\mathbb R^N\) via genus theory

DOI10.1016/J.CAMWA.2016.04.034zbMath1443.35035OpenAlexW2400949380MaRDI QIDQ2007307

Hui Fang, Liben Wang, Xing-Yong Zhang

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.04.034

zbMATH Keywords

weak solutioncritical pointgenus theory\((\phi_1,\phi_2)\)-Laplacian system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items (7)

Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential ⋮ Existence of ground state solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ Existence and multiplicity of solutions for a quasilinear system with locally superlinear condition ⋮ Multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ On a class of fractional \(\Gamma (.)\)-Kirchhoff-Schrödinger system type ⋮ Infinitely many solutions of a quasilinear elliptic equation with nonlinearity oscillating close to zero ⋮ Ground state solutions for a nonlocal system in fractional Orlicz-Sobolev spaces

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