Periodic and asymptotically periodic fourth-order Schrödinger equations with critical and subcritical growth
type: Item
instance of: scholarly article
title: Periodic and asymptotically periodic fourth-order Schrödinger equations with critical and subcritical growth
zbMATH Open document ID: 1484.35177
published in: Discrete and Continuous Dynamical Systems
publication date: 2022-02-17T00:00:00Z
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7475501
zbMATH Keywords: fourth-order elliptic equation
zbMATH Keywords: existence
author: Edcarlos D. Silva
author: Marcos L. M. Carvalho
author: Claudiney Goulart
MaRDI profile type: Publication
full work available at URL: dcds.2021146
OpenAlex ID: W3207650051
cites work: Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents
cites work: Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator
cites work: Existence and multiplicity results for some superlinear elliptic problems on RN
cites work: Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
cites work: Strong Instability of Ground States to a Fourth Order Schrödinger Equation
cites work: Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: Positivity preserving property for a class of biharmonic elliptic problems
cites work: Critical growth biharmonic elliptic problems under Steklov-type boundary conditions
cites work: On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
cites work: Variational elliptic problems which are nonquadratic at infinity
cites work: Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
cites work: Two solutions for a fourth order nonlocal problem with indefinite potentials
cites work: Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
cites work: On the moments of solutions to linear parabolic equations involving the biharmonic operator
cites work: Critical growth problems for polyharmonic operators
cites work: Radial entire solutions for supercritical biharmonic equations
cites work: Best constants and minimizers for embeddings of second order Sobolev spaces
cites work: Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
cites work: Quasilinear asymptotically periodic elliptic equations with critical growth
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: On a class of semilinear elliptic problems in ℝN with critical growth
cites work: Existence and concentration of solutions for a class of biharmonic equations
cites work: On a class of nonlinear Schrödinger equations
cites work: Q5352145
cites work: Quasilinear asymptotically periodic Schrödinger equations with critical growth
cites work: Quasilinear asymptotically periodic Schrödinger equations with subcritical growth
cites work: Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
cites work: The best sobolev constant
cites work: Minimax theorems
DOI: 10.3934/DCDS.2021146
description: scientific article; zbMATH DE number 7475501