Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity
type: Item
instance of: scholarly article
title: Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity
zbMATH Open document ID: 1459.35123
author: Hongliang Liu
author: Zhisu Liu
author: Qizhen Xiao
published in: Applied Mathematics Letters
publication date: 2021-03-04T00:00:00Z
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35J35
zbMATH DE Number: 7317554
zbMATH Keywords: fourth-order elliptic equation
zbMATH Keywords: logarithmic nonlinearity
zbMATH Keywords: existence of ground state solutions
MaRDI profile type: Publication
full work available at URL: j.aml.2017.12.015
OpenAlex ID: W2781291636
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
cites work: Sign-changing solutions for some fourth-order nonlinear elliptic problems
cites work: Multiple solutions for a fourth-order asymptotically linear elliptic problem
cites work: Existence of nontrivial solutions of an asymptotically linear fourth-order elliptic equation
cites work: Ground-state solution for a class of biharmonic equations including critical exponent
cites work: Least energy nodal solution for quasilinear biharmonic equations with critical exponent in \(\mathbb{R}^N\)
cites work: A logarithmic Schrödinger equation with asymptotic conditions on the potential
cites work: Multiple solutions to logarithmic Schrödinger equations with periodic potential
cites work: Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
cites work: Multi-bump solutions for logarithmic Schrödinger equations
cites work: Ground states for diffusion system with periodic and asymptotically periodic nonlinearity
cites work: Ground state solutions for Hamiltonian elliptic system with inverse square potential
cites work: Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
cites work: Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
cites work: Logarithmic Sobolev Inequalities
cites work: Q3749777
cites work: Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
DOI: 10.1016/J.AML.2017.12.015
description: scientific article; zbMATH DE number 7317554