Existence of solutions for a class of \(p\)-Laplacian type equation with critical growth and potential vanishing at infinity
type: Item
instance of: scholarly article
title: Existence of solutions for a class of \(p\)-Laplacian type equation with critical growth and potential vanishing at infinity
zbMATH Open document ID: 1323.35038
author: Wei Shuai
author: Yinbin Deng
author: Yi Li
published in: Discrete and Continuous Dynamical Systems
publication date: 2015-09-15T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6482380
zbMATH Keywords: \(p\)-Laplacain type equations
zbMATH Keywords: weighted Sobolev space
zbMATH Keywords: critical growth
zbMATH Keywords: vanishing potential
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: dcds.2016.36.683
OpenAlex ID: W2181196836
cites work: Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
cites work: Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
cites work: Dual variational methods in critical point theory and applications
cites work: Nonlinear Schrödinger equations with vanishing and decaying potentials.
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
cites work: Positive solutions for nonlinear elliptic equations with fast increasing weights
cites work: Q4712125
cites work: Solutions of Schrödinger equations with inverse square potential and critical nonlinearity
cites work: Nodal solutions for \(p\)-Laplace equations with critical growth.
cites work: On the existence of multiple positive solutions for a semilinear problem in exterior domains
cites work: Variational problems related to self-similar solutions of the heat equation
cites work: Multiplicity of self-similar solutions for a critical equation
cites work: Q4306952
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: Q3997067
cites work: Local behavior of solutions of quasi-linear equations
cites work: Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
cites work: Existence of solitary waves in higher dimensions
cites work: Critical \(p\)-Laplacian problems in \(\mathbf R^ N\)
cites work: Regularity for a more general class of quasilinear equations
cites work: Minimax theorems
DOI: 10.3934/DCDS.2016.36.683
description: scientific article; zbMATH DE number 6482380