Existence of solutions for a class of \(p\)-Laplacian type equation with critical growth and potential vanishing at infinity

DOI10.3934/dcds.2016.36.683zbMath1323.35038OpenAlexW2181196836MaRDI QIDQ495782

Yinbin Deng, Wei Shuai, Yi Li

Publication date: 15 September 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.683

zbMATH Keywords

weighted Sobolev spacevariational methodcritical growthvanishing potential\(p\)-Laplacain type equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (9)

Positive solutions for a class of fractional \(p\)-Laplacian equation with critical Sobolev exponent and decaying potentials ⋮ Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity ⋮ Existence of positive solutions for a critical fractional Kirchhoff equation with potential vanishing at infinity ⋮ On critical Schrödinger-Kirchhoff-type problems involving the fractional \(p\)-Laplacian with potential vanishing at infinity ⋮ Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent ⋮ Existence of sign-changing solutions for a class ofp-Laplacian Kirchhoff-type equations ⋮ Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity ⋮ Ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev upper critical growth and potential vanishing at infinity ⋮ Multiple positive solutions to critical p-Laplacian equations with vanishing potential

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