Existence result for fractional Schrödinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition
From MaRDI portal
Publication:2314286
DOI10.1016/j.camwa.2017.09.011zbMath1418.35368OpenAlexW2763286823MaRDI QIDQ2314286
Publication date: 22 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.09.011
perturbation methodBessel operatorfractional Schrödinger-Poisson systemsmonotone assumptionAmbrosetti-Rabinowitz type condition
Related Items (6)
Multiplicity of solutions for a fractional Schrödinger-Poisson system without (PS) condition ⋮ Multiplicity and concentration results for fractional Schrödinger system with steep potential wells ⋮ Least energy solutions for a class of fractional Schrödinger-Poisson systems ⋮ Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth ⋮ On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields ⋮ Solutions of perturbed fractional Schrödinger-Poisson system with critical nonlinearity in \(\mathbb{R}^3 \)
Cites Work
- Unnamed Item
- Unnamed Item
- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- Nontrivial solution for Schrödinger-Poisson equations involving a fractional nonlocal operator via perturbation methods
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- Multiple solutions for quasilinear elliptic equations with a finite potential well
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition
- Existence of solutions of scalar field equations with fractional operator
- Scalar field equation with non-local diffusion
- Nonlinear scalar field equations. I: Existence of a ground state
- Ground state solutions of scalar field fractional Schrödinger equations
- Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
- Analysis of the Laplacian on a complete Riemannian manifold
- Symétrie et compacité dans les espaces de Sobolev
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Fractional quantum mechanics and Lévy path integrals
- On some nonlinear fractional equations involving the Bessel operator
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Minimax theorems
- Periodic solutions for the non-local operator \((-\Delta+m^{2})^{s}-m^{2s}\) with \(m\geq 0\)
- Two positive solutions of a class of Schrödinger-Poisson system with indefinite nonlinearity
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator
- Existence of multi-bump solutions for the fractional Schrödinger-Poisson system
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
- Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
- Ground states for superlinear fractional Schrödinger equations in R^N
This page was built for publication: Existence result for fractional Schrödinger-Poisson systems involving a Bessel operator without Ambrosetti-Rabinowitz condition
