Periodic and asymptotically periodic fourth-order Schrödinger equations with critical and subcritical growth

DOI10.3934/DCDS.2021146zbMath1484.35177OpenAlexW3207650051MaRDI QIDQ2076473

Marcos L. M. Carvalho, Claudiney Goulart, Edcarlos D. Da Silva

Publication date: 17 February 2022

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

Full work available at URL: https://doi.org/10.3934/dcds.2021146

zbMATH Keywords

existencefourth-order elliptic equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30)

Related Items (1)

Normalized solutions for the mixed dispersion nonlinear Schrödinger equations with four types of potentials and mass subcritical growth

Cites Work

• Unnamed Item
• Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
• Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
• On the moments of solutions to linear parabolic equations involving the biharmonic operator
• Existence and concentration of solutions for a class of biharmonic equations
• Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator
• Quasilinear asymptotically periodic Schrödinger equations with subcritical growth
• Positivity preserving property for a class of biharmonic elliptic problems
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Quasilinear asymptotically periodic elliptic equations with critical growth
• Critical growth biharmonic elliptic problems under Steklov-type boundary conditions
• On a class of nonlinear Schrödinger equations
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
• Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
• Minimax theorems
• Two solutions for a fourth order nonlocal problem with indefinite potentials
• Radial entire solutions for supercritical biharmonic equations
• Best constants and minimizers for embeddings of second order Sobolev spaces
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• The best sobolev constant
• Critical growth problems for polyharmonic operators
• Variational elliptic problems which are nonquadratic at infinity
• On a class of semilinear elliptic problems in ℝN with critical growth
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
• Strong Instability of Ground States to a Fourth Order Schrödinger Equation
• Nontrivial solutions for a class of semilinear biharmonic problems involving critical exponents
• Quasilinear asymptotically periodic Schrödinger equations with critical growth

This page was built for publication: Periodic and asymptotically periodic fourth-order Schrödinger equations with critical and subcritical growth