Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
From MaRDI portal
Publication:1640807
DOI10.1016/j.nonrwa.2017.12.003OpenAlexW2782179605MaRDI QIDQ1640807
Publication date: 14 June 2018
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.12.003
Related Items (15)
Ground state solutions of Pohožaev type and Nehari type for a class of nonlinear Choquard equations ⋮ Existence and multiplicity of normalized solutions for a class of fractional Schrödinger–Poisson equations ⋮ Multiple positive solutions for the fractional Schrödinger-Poisson systems involving singular terms ⋮ Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent ⋮ Multiple solutions for the fractional Schrödinger–Poisson system with concave–convex nonlinearities ⋮ Ground‐state solution of a nonlinear fractional Schrödinger–Poisson system ⋮ Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical nonlocal term ⋮ On a fractional Schrödinger-Poisson system with doubly critical growth and a steep potential well ⋮ Unnamed Item ⋮ Existence of positive solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^n\) ⋮ The fractional Schrödinger-Poisson system with three times growth ⋮ Ground state for fractional Schrödinger-Poisson equation in Coulomb-Sobolev space ⋮ Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth ⋮ Least energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\) ⋮ Multiple positive solutions for fractional Schrödinger-Poisson system with doubly critical exponents
Cites Work
- Unnamed Item
- Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Solitons in Schrödinger-Maxwell equations
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Semiclassical solutions for the nonlinear Schrödinger-Maxwell equations with critical nonlinearity
- Non-Nehari manifold method for superlinear Schrödinger equation
- Ground state sign-changing solutions for a class of Schrödinger-Poisson type problems in \({\mathbb{R}^{3}}\)
- Multiplicity of solutions for the nonlinear Schrödinger-Maxwell system
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- Ground state solutions for some indefinite variational problems
- On a class of nonlinear Schrödinger equations
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
- Fractional quantum mechanics and Lévy path integrals
- Nehari type ground state solutions for asymptotically periodic Schrödinger-Poisson systems
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
- Dual variational methods in critical point theory and applications
- Semiclassical solutions for the nonlinear Schrödinger-Maxwell equations
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Positive semiclassical states for a fractional Schrödinger-Poisson system.
- Two positive solutions of a class of Schrödinger-Poisson system with indefinite nonlinearity
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
- A concave—convex elliptic problem involving the fractional Laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
- Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization Method
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
- An Extension Problem Related to the Fractional Laplacian
This page was built for publication: Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
