The Nehari manifold for the Schrödinger–Poisson systems with steep well potential

DOI10.1080/17476933.2018.1471070zbMath1412.35085OpenAlexW2804201557MaRDI QIDQ4629084

Zhi-Qing Han, Qing-Jun Lou

Publication date: 25 March 2019

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

Full work available at URL: https://doi.org/10.1080/17476933.2018.1471070

zbMATH Keywords

concentrationconcave-convex nonlinearitiesSchrödinger-Poisson equationsteep well potential

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)

Related Items (2)

Existence and concentration of positive solutions for non-autonomous Schrödinger-Poisson systems ⋮ Ground state sign-changing solution for Schrödinger-Poisson system with steep potential well

Cites Work

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• On the existence of solutions for the Schrödinger-Poisson equations
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• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N

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