THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS
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Publication:5108950
DOI10.4134/JKMS.j190156zbMath1437.35597OpenAlexW3162153555MaRDI QIDQ5108950
Publication date: 6 May 2020
Full work available at URL: https://www.koreascience.or.kr:443/article/JAKO202012941165967.pdf
Fractional derivatives and integrals (26A33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40) Fractional partial differential equations (35R11)
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Cites Work
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- Nontrivial solutions of superlinear nonlocal problems
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- Existence and multiplicity results for the nonlinear Schrödinger-Poisson systems
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- High energy solutions for the superlinear Schrödinger-Maxwell equations
- On superlinear problems without the Ambrosetti and Rabinowitz condition
- On Schrödinger-Poisson systems
- On ground states of superlinear \(p\)-Laplacian equations in R\(^N\)
- Sull'esistenza di autovalori per un problema al contorno non lineare
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Fractional quantum mechanics and Lévy path integrals
- Solutions of Hartree-Fock equations for Coulomb systems
- Minimax theorems
- Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
- Dual variational methods in critical point theory and applications
- Positive semiclassical states for a fractional Schrödinger-Poisson system.
- The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system
- Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Existence of multi-bump solutions for the fractional Schrödinger-Poisson system
- Superlinear nonlocal fractional problems with infinitely many solutions
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
- The concentration behavior of ground state solutions for a critical fractional Schrödinger–Poisson system
- Infinitely many solutions of a symmetric Dirichlet problem
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
