Existence of ground state solutions for fractional Schrödinger-Poisson systems with doubly critical growth

DOI10.1007/s00009-020-01660-xzbMath1459.35128OpenAlexW3124747864MaRDI QIDQ2223077

Xiaojing Feng, Xia Yang

Publication date: 28 January 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01660-x

zbMATH Keywords

variational methodfractional Schrödinger-Poisson systemexistence of ground state solutions

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11)

Related Items

On a fractional Schrödinger-Poisson system with doubly critical growth and a steep potential well ⋮ Multiple positive solutions for fractional Schrödinger-Poisson system with doubly critical exponents

Cites Work

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• Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
• On critical systems involving fractional Laplacian
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Fractional quantum mechanics and Lévy path integrals
• Existence and multiplicity of solutions for fractional Choquard equations
• On the variational principle
• Minimax theorems
• On ground state solutions for the Schrödinger-Poisson equations with critical growth
• Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity
• Ground state solutions of fractional Choquard equations with general potentials and nonlinearities
• Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
• Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
• Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
• Ground states for fractional Schrödinger equations with critical growth
• Positive and sign-changing least energy solutions for a fractional Schrödinger–Poisson system with critical exponent
• On fractional Choquard equations
• Ground state solutions for Schrödinger-Poisson systems involving the fractional Laplacian with critical exponent