Ground state solutions for Schrödinger-Poisson systems involving the fractional Laplacian with critical exponent

DOI10.1063/1.5088710zbMath1419.35034OpenAlexW2945697812MaRDI QIDQ5379478

Xiaojing Feng

Publication date: 12 June 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5088710

zbMATH Keywords

existence of ground statesfractional Schrödinger-Poisson-type systems

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Fractional partial differential equations (35R11)

Related Items (4)

Ground states for a fractional Schrödinger–Poisson system involving Hardy potentials ⋮ Sign-changing solutions for a fractional Schrödinger–Poisson system ⋮ Existence of ground state solutions for fractional Schrödinger-Poisson systems with doubly critical growth ⋮ Multiple positive solutions for fractional Schrödinger-Poisson system with doubly critical exponents

Cites Work

• Unnamed Item
• Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
• Minimax theorems
• Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
• Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Lévy Processes and Stochastic Calculus
• Ground states for fractional Schrödinger equations with critical growth
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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