Revisit to sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb{R}^3\)

DOI10.1016/j.jmaa.2015.10.076zbMath1336.35148OpenAlexW1867197128MaRDI QIDQ892358

Jing Xu, Zhanping Liang, Xiaoli Zhu

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.076

zbMATH Keywords

sign-changing solutionSchrödinger-Poisson systemzero mass

Mathematics Subject Classification ID

Qualitative properties of solutions to partial differential equations (35B99) Second-order elliptic systems (35J47)

Related Items (30)

Existence of least energy nodal solution for Kirchhoff-Schrödinger-Poisson system with potential vanishing ⋮ Existence of least energy nodal solution for Kirchhoff-type system with Hartree-type nonlinearity ⋮ Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity ⋮ Nodal solutions for Schrödinger-Poisson systems with concave-convex nonlinearities ⋮ Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\) ⋮ Least energy radial sign-changing solution for the Schrödinger-Poisson system in \(\mathbb{R}^3\) under an asymptotically cubic nonlinearity ⋮ Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity ⋮ Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with super 2-linear growth at infinity ⋮ Ground state and sign-changing solutions for critical Schrödinger-Poisson system with lower order perturbation ⋮ Ground state sign-changing solutions for asymptotically cubic or super-cubic Schrödinger-Poisson systems without compact condition ⋮ Unnamed Item ⋮ Existence of least energy sign-changing solution for the nonlinear Schrödinger system with two types of nonlocal terms ⋮ Sign-changing solutions for a kind of Klein–Gordon–Maxwell system ⋮ Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\) ⋮ Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system with potential vanishing at infinity ⋮ Ground state sign-changing solutions for a Schrödinger-Poisson system with a 3-linear growth nonlinearity ⋮ The number of nodal solutions for the Schrödinger-Poisson system under the effect of the weight function ⋮ Existence, uniqueness and multiplicity of positive solutions for Schrödinger-Poisson system with singularity ⋮ Ground state sign-changing solution for Schrödinger-Poisson system with critical growth ⋮ Radial ground state sign-changing solutions for asymptotically cubic or super-cubic fractional Schrödinger-Poisson systems ⋮ Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity ⋮ Bound state nodal solutions for the non-autonomous Schrödinger-Poisson system in \(\mathbb{R}^3\) ⋮ Radial ground state sign-changing solutions for a class of asymptotically cubic or super-cubic Schrödinger-Poisson type problems ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity ⋮ Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth ⋮ Sign-changing solutions for Schrödinger-Bopp-Podolsky system with general nonlinearity ⋮ Positive ground state solutions for Schrödinger-Poisson system involving a negative nonlocal term and critical exponent ⋮ Sign-changing solutions for some class of elliptic system ⋮ Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\) ⋮ Least-energy sign-changing solutions for Kirchhoff-Schrödinger-Poisson systems in \(\mathbb{R}^3\)

Cites Work

• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
• Asymptotically linear Schrödinger equation with potential vanishing at infinity
• Compactness results and applications to some ``zero mass elliptic problems
• Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Minimax theorems
• Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Existence of positive solutions to Kirchhoff type problems with zero mass
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
• Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• On a “Zero Mass” Nonlinear Schrödinger Equation

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