Multiplicity for a 4-sublinear Schrödinger-Poisson system with sign-changing potential via Morse theory

DOI10.1016/j.crma.2015.10.018zbMath1336.35319OpenAlexW2191375401MaRDI QIDQ282715

Haibo Chen, Hongliang Liu, Gang-Wei Wang

Publication date: 12 May 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.10.018

zbMATH Keywords

critical groupsMorse theorySchrödinger-Poisson systemsign-changing potential

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)

Related Items (9)

The existence of nontrivial solution of a class of Schrödinger-Bopp-Podolsky system with critical growth ⋮ Existence and multiplicity of nontrivial solutions for Schrödinger-Poisson systems on bounded domains ⋮ Existence and multiplicity of solutions for Kirchhoff–Schrödinger–Poisson system with critical growth ⋮ Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials ⋮ Existence and multiplicity of nontrivial solutions for a class of Kirchhoff-Schrödinger-Poisson systems ⋮ Positive ground state solutions for a class of Schrödinger-Poisson systems with sign-changing and vanishing potential ⋮ Positive solutions for a class of quasilinear Schrödinger equations with vanishing potentials ⋮ Multiple solutions for a nonlinear Schrödinger-Poisson system with sign-changing potential ⋮ Existence of nontrivial solutions for Schrödinger-Poisson systems with critical exponent on bounded domains

Cites Work

• Unnamed Item
• Existence of ground state solutions for the Schrödinger-Poisson systems
• Multiplicity of small negative-energy solutions for a class of nonlinear Schrödinger-Poisson systems
• Existence and multiplicity results for the nonlinear Schrödinger-Poisson systems
• Multiple positive solutions of a class of non autonomous Schrödinger-Poisson systems
• The existence of infinitely many solutions for the nonlinear Schrödinger-Maxwell equations
• Existence of infinitely many solutions for generalized Schrödinger-Poisson system
• Schrödinger-Poisson system with singular potential
• Infinitely many solutions for Schrödinger-Maxwell equations with indefinite sign subquadratic potentials
• Schrödinger-Poisson system with steep potential well
• Positive solutions of asymptotically linear Schrödinger-Poisson systems with a radial potential vanishing at infinity
• On ground state solutions for some non-autonomous Schrödinger-Poisson systems
• Critical point theory and Hamiltonian systems
• On semilinear elliptic equations with indefinite nonlinearities
• Infinite dimensional Morse theory and multiple solution problems
• Semiclassical solutions for the nonlinear Schrödinger-Maxwell equations
• Existence of nontrivial solution for a 4-sublinear Schrödinger-Poisson system
• Multiple solutions for superlinear Schrödinger-Poisson system with sign-changing potential and nonlinearity
• Two positive solutions of a class of Schrödinger-Poisson system with indefinite nonlinearity
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems

This page was built for publication: Multiplicity for a 4-sublinear Schrödinger-Poisson system with sign-changing potential via Morse theory