Multiple solutions for the Schrödinger equations with sign-changing potential and Hartree nonlinearity

DOI10.1016/J.AML.2017.12.014zbMath1390.35055OpenAlexW2777138187MaRDI QIDQ1749460

Guofeng Che, Haibo Chen

Publication date: 16 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.014

zbMATH Keywords

Schrödinger equationssign-changing potentialSchrödinger-Poisson equationsHartree-type nonlinearity

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well ⋮ Existence of positive solutions to the fractional Kirchhoff-type problems involving steep potential well ⋮ On the double phase variational problems without Ambrosetti-Rabinowitz condition ⋮ Bound state positive solutions for a class of elliptic system with Hartree nonlinearity ⋮ New result for nonlinear Choquard equations: doubly critical case ⋮ Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems ⋮ Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent ⋮ Infinitely many solutions for Kirchhoff equations with sign-changing potential and Hartree nonlinearity

Cites Work

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• On the nonlinear Schrödinger-Poisson systems with sign-changing potential
• Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well
• Bound states for semilinear Schrödinger equations with sign-changing potential
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
• Existence and concentration of sign-changing solutions to Kirchhoff-type system with Hartree-type nonlinearity
• A note on Kirchhoff-type equations with Hartree-type nonlinearities
• Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth

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