Ground state solutions for a class of nonlinear fractional Schrödinger-Poisson systems with super-quadratic nonlinearity
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Publication:1694550
DOI10.1016/j.chaos.2017.10.034zbMath1380.35160OpenAlexW2766293796MaRDI QIDQ1694550
Sitong Chen, Zu Gao, Xian Hua Tang
Publication date: 2 February 2018
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2017.10.034
Variational principles in infinite-dimensional spaces (58E30) Fractional partial differential equations (35R11)
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Cites Work
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- Semiclassical solutions for the nonlinear Schrödinger-Maxwell equations with critical nonlinearity
- Infinitely many radial and non-radial solutions for a fractional Schrödinger equation
- The Brezis-Nirenberg type problem involving the square root of the Laplacian
- On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
- Nonlinear porous medium flow with fractional potential pressure
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
- Infinitely many solutions for boundary value problems arising from the fractional advection dispersion equation.
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- Surfaces minimizing nonlocal energies
- Multiple solutions for a class of Kirchhoff type problems with concave nonlinearity
- High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential
- Semiclassical solutions for the nonlinear Schrödinger-Maxwell equations
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Infinitely many solutions for a class of fractional Hamiltonian systems via critical point theory
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN
- Regularity of the obstacle problem for a fractional power of the laplace operator
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity
- Ground state sign-changing solutions for asymptotically 3-linear Kirchhoff-type problems
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- Ground states for fractional Schrödinger equations with critical growth
- An Extension Problem Related to the Fractional Laplacian
