Sign-changing solutions for some class of elliptic system

DOI10.1080/17476933.2020.1736052zbMath1460.35122OpenAlexW3009067643MaRDI QIDQ5856369

Lu Gan

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1736052

zbMATH Keywords

Lyapunov-Schmidt reductionsemiliner elliptic systemexistence of non-radial sign-changing solutions

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Cites Work

• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Multiple solutions to a magnetic nonlinear Choquard equation
• Semi-classical states for the Choquard equation
• A guide to the Choquard equation
• Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
• Revisit to sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb{R}^3\)
• Existence of multiple nontrivial solutions for a Schrödinger-Poisson system
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
• Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
• Multiple positive solutions for the nonlinear Schrödinger–Poisson system
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• Multiple positive solutions for a type of nonlinear Schrödinger equations
• Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
• On the number of interior peak solutions for a singularly perturbed Neumann problem
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
• SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS
• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Existence of groundstates for a class of nonlinear Choquard equations
• SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART II: EXISTENCE
• The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth
• On interacting bumps of semi-classical states of nonlinear Schrödinger equations.

This page was built for publication: Sign-changing solutions for some class of elliptic system