Existence of multiple solutions for a class of Schrödinger-Maxwell system

DOI10.1016/j.aml.2020.106337zbMath1436.35140OpenAlexW3011062374MaRDI QIDQ1985429

Qi Zhang, Die Hu

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106337

zbMATH Keywords

Schrödinger-Maxwell systemexistence of high energy solutions

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Second-order elliptic systems (35J47)

Cites Work

• Existence and multiplicity results for the nonlinear Schrödinger-Poisson systems
• The existence of infinitely many solutions for the nonlinear Schrödinger-Maxwell equations
• High energy solutions for the superlinear Schrödinger-Maxwell equations
• On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations
• Existence of infinitely many large solutions for the nonlinear Schrödinger-Maxwell equations
• On Schrödinger-Poisson systems
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Positive and nodal solutions for a nonlinear Schrödinger-Poisson system with sign-changing potentials
• Infinitely many high energy radial solutions for a class of nonlinear Schrödinger-Poisson systems in \(\mathbb{R}^3\)
• Minimax theorems
• Infinitely many solutions for semilinear Schrödinger equations with sign-changing potential and nonlinearity
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• The Schrödinger–Poisson System with Positive Potential
• Multiple nontrivial solutions for a nonhomogeneous Schrödinger–Poisson system in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>ℝ</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:math>
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

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