Sign-changing solutions for modified Schrödinger–Poisson system with general nonlinearity

DOI10.1080/17476933.2021.1947258zbMath1501.35176OpenAlexW3201128448MaRDI QIDQ5046518

Gao Jia, Chen Huang, Xueqin Peng

Publication date: 31 October 2022

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

Full work available at URL: https://doi.org/10.1080/17476933.2021.1947258

zbMATH Keywords

modified Schrödinger-Poisson systemexistence and multiplicity of sign-changing solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items

Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system with steep potential

Cites Work

• Unnamed Item
• Unnamed Item
• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Existence of non-trivial solution for a class of modified Schrödinger-Poisson equations via perturbation method
• Ground states for Schrödinger-Poisson type systems
• Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• An eigenvalue problem for the Schrödinger-Maxwell equations
• On a superlinear elliptic \(p\)-Laplacian equation.
• Multiplicity of solutions to Schrödinger-Poisson system with concave-convex nonlinearities
• Solutions of Hartree-Fock equations for Coulomb systems
• Minimax theorems
• Infinitely many small energy solutions for a modified Kirchhoff-type equation in \(\mathbb R^N\)
• Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• The existence of sign-changing solution for a class of quasilinear Schrödinger-Poisson systems via perturbation method
• Existence and multiplicity of non-trivial solutions for a class of modified Schrödinger-Poisson systems
• Dual variational methods in critical point theory and applications
• Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth
• Infinitely many sign-changing solutions for a quasilinear elliptic equation in \(\mathbb{R}^N\)
• Existence of multiple solutions for modified Schrödinger-Kirchhoff-Poisson type systems via perturbation method with sign-changing potential
• Existence of positive solutions for supercritical quasilinear Schrödinger elliptic equations
• Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• Thomas-fermi and related theories of atoms and molecules
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Quasilinear elliptic equations via perturbation method
• Variational Methods in Nonlinear Field Equations
• Multiple solutions for a modified Kirchhoff‐type equation in R^N
• Nodal solutions of a p-Laplacian equation
• Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations