Existence of ground state solutions for fractional Schrödinger-Poisson systems with doubly critical growth
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Publication:2223077
DOI10.1007/s00009-020-01660-xzbMath1459.35128OpenAlexW3124747864MaRDI QIDQ2223077
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
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)
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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