Multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
DOI10.1216/RMJ.2022.52.535zbMath1500.35138OpenAlexW4280595461MaRDI QIDQ2152815
Publication date: 11 July 2022
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-2/Multiple-solutions-for-the-fractional-Schr%c3%b6dingerPoisson-system-with-critical-Sobolev/10.1216/rmj.2022.52.535.full
Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Solitons in Schrödinger-Maxwell equations
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Introduction à la théorie des points critiques et applications aux problèmes elliptiques
- Multiplicity of solutions to Schrödinger-Poisson system with concave-convex nonlinearities
- On the existence of infinitely many solutions for nonlocal systems with critical exponents
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Equations involving fractional Laplacian operator: compactness and application
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On an Exchange Interaction Model for Quantum Transport: The Schrödinger–Poisson–Slater System
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS
- Infinitely many solutions for non-local elliptic non-degeneratep-Kirchhoff equations with critical exponent
- Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
- A Simplification of the Hartree-Fock Method
This page was built for publication: Multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent