Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method
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Publication:5216648
DOI10.1142/S0219199718500785zbMath1434.35270OpenAlexW2897682235MaRDI QIDQ5216648
Publication date: 18 February 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199718500785
Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items (13)
On the number of concentrating solutions of a fractional Schrödinger-Poisson system with doubly critical growth ⋮ Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities ⋮ Ground‐state solution of a nonlinear fractional Schrödinger–Poisson system ⋮ Multiplicity of normalized solutions for the fractional Schrödinger-Poisson system with doubly critical growth ⋮ On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields ⋮ Three positive solutions for the indefinite fractional Schrödinger-Poisson systems ⋮ Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system ⋮ Unnamed Item ⋮ On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields ⋮ Existence and concentration of nontrivial solutions for a fractional magnetic Schrödinger-Poisson type equation ⋮ Existence and concentration of solutions for the sublinear fractional Schrödinger-Poisson system ⋮ Infinitely many solutions for a class of sublinear fractional Schrödinger-Poisson systems ⋮ Existence results for Kirchhoff type Schrödinger-Poisson system involving the fractional Laplacian
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