Existence and concentration of ground state solutions for critical Schrödinger-Poisson system with steep potential well

DOI10.1016/J.AMC.2020.125035zbMath1433.35064OpenAlexW3001684184MaRDI QIDQ2294904

Li-Feng Yin, Chun-Lei Tang, Xing-Ping Wu

Publication date: 12 February 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125035

zbMATH Keywords

critical growthground statesSchrödinger-Poisson systemPohožaev identity

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Ground state solutions for Schrödinger–Poisson system with critical growth and nonperiodic potential ⋮ Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system with steep potential ⋮ Existence and concentration of ground state solutions for a Schrödinger-Poisson-type system with steep potential well ⋮ Least energy sign-changing solutions for Schrödinger-Poisson system with critical growth ⋮ Ground state sign-changing solution for Schrödinger-Poisson system with steep potential well ⋮ Existence of ground state solutions for critical quasilinear Schrödinger equations with steep potential well ⋮ Ground state sign-changing solutions for critical Schrödinger-Poisson system with steep potential well

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