Infinitely many positive solutions for a Schrödinger-Poisson system

DOI10.1016/J.AML.2010.12.002zbMath1211.35104OpenAlexW2949207409MaRDI QIDQ5894153

Pietro D'Avenia, Alessio Pomponio, Giusi Vaira

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.002

zbMATH Keywords

perturbation methodnon autonomous Schrödinger-Poisson system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Perturbations in context of PDEs (35B20) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Related Items (7)

Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth ⋮ On the Schrödinger-Maxwell system involving sublinear terms ⋮ Infinitely many solutions for the nonlinear Schrödinger-Poisson system ⋮ Positive ground state solutions for a class of Schrödinger-Poisson systems with sign-changing and vanishing potential ⋮ Infinitely many positive solutions for a Schrödinger-Poisson system ⋮ Asymptotically linear Schrödinger-Poisson systems with potentials vanishing at infinity ⋮ A note on the existence results for Schrödinger-Maxwell system with super-critical nonlinearity

Cites Work

• An eigenvalue problem for the Schrödinger-Maxwell equations
• Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)

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