Ground state solutions for asymptotically periodic fractional Schrödinger-Poisson problems with asymptotically cubic or super-cubic nonlinearities
From MaRDI portal
Publication:5348432
DOI10.1002/mma.4360zbMath1375.35101OpenAlexW2589031054MaRDI QIDQ5348432
Jiawu Peng, Sitong Chen, Xian Hua Tang
Publication date: 15 August 2017
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.4360
Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11)
Related Items (8)
Unnamed Item ⋮ Nehari-type ground state solutions for asymptotically periodic fractional Kirchhoff-type problems in \(\mathbb{R}^{N}\) ⋮ 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 \(\mathbb{R}^3 \) ⋮ Multiple solutions for fractional Schrödinger-Poisson system with critical or supercritical nonlinearity ⋮ Existence of positive solutions for a class of critical fractional Schrödinger-Poisson system with potential vanishing at infinity ⋮ Radial ground state sign-changing solutions for asymptotically cubic or super-cubic fractional Schrödinger-Poisson systems ⋮ On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields
Cites Work
- Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
- Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
- Nontrivial solution for Schrödinger-Poisson equations involving a fractional nonlocal operator via perturbation methods
- Ground-state solutions for asymptotically cubic Schrödinger-Maxwell equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and multiplicity of stationary solutions for a class of Maxwell-Dirac system
- Fractional Laplacian in conformal geometry
- Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
- Existence and concentration of semiclassical solutions for Hamiltonian elliptic system
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Fractional quantum mechanics and Lévy path integrals
- Solutions of Hartree-Fock equations for Coulomb systems
- 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
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- 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
- New Super-quadratic Conditions on Ground State Solutions for Superlinear Schrödinger Equation
- Regularity of the obstacle problem for a fractional power of the laplace operator
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- A ecessary and Sufficient Condition for The Stability of General molecular Systems
- Thomas-fermi and related theories of atoms and molecules
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Ground state solutions for asymptotically periodic fractional Schrödinger-Poisson problems with asymptotically cubic or super-cubic nonlinearities