Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical nonlocal term

DOI10.1007/s12220-023-01247-4zbMath1514.35171OpenAlexW4366187519MaRDI QIDQ6157814

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Publication date: 12 May 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-023-01247-4

zbMATH Keywords

variational methodsfractional Schrödinger-Poisson systemexistence of bound state solutionsnonlocal critical exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Existence of positive multi-bump solutions for a Schrödinger-Poisson system in \(\mathbb{R}^{3}\)
• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Generalized Schrödinger-Newton system in dimension \(N\geqslant 3\): critical case
• On a system involving a critically growing nonlinearity
• Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem
• Existence of positive solutions of the equation \(-\Delta u+a(x)u=u^{(N+2)/(N-2)}\) in \({\mathbb{R}}^ N\)
• On Schrödinger-Poisson systems
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Fractional quantum mechanics and Lévy path integrals
• Ground state and multiple solutions for the fractional Schrödinger-Poisson system with critical Sobolev exponent
• Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term
• Ground state sign-changing solutions for a Schrödinger-Poisson system with a critical nonlinearity in \(\mathbb{R}^3\)
• Fractional Choquard equation with critical nonlinearities
• Existence of positive solution of the equation \((-\Delta )^{s}u+a(x)u=|u|^{2^{*}_{s}-2}u\)
• Minimax theorems
• Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Bound states for fractional Schrödinger-Poisson system with critical exponent
• Multiple positive bound state solutions for fractional Schrödinger-Poisson system with critical growth
• On the singularly perturbation fractional Kirchhoff equations: critical case
• Double phase problems with competing potentials: concentration and multiplication of ground states
• Existence and concentration of ground-states for fractional Choquard equation with indefinite potential
• Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems
• Existence and multiplicity results for some Schrödinger-Poisson system with critical growth
• Positive bound states for fractional Schrödinger-Poisson system with critical exponent
• Nontrivial solution for Schrödinger-Poisson equations involving the fractional Laplacian with critical exponent
• Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents
• Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
• Existence of least-energy sign-changing solutions for Schrödinger-Poisson system with critical growth
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
• 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
• Concentrating solutions for singularly perturbed double phase problems with nonlocal reaction
• Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
• Positive bound state solutions for some Schrödinger–Poisson systems
• Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
• Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• Variational Methods for Nonlocal Fractional Problems
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• Nonminimizing Positive Solutions for Equations with Critical Exponents in the Half-Space
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth
• Nonlinear Analysis - Theory and Methods
• Existence of multi-bump solutions for a semilinear Schrödinger–Poisson system
• Multiple positive bound states for critical Schrödinger-Poisson systems
• Concentration behavior of ground state solutions for a fractional Schrödinger–Poisson system involving critical exponent
• Ground states and high energy solutions of the planar Schrödinger–Poisson system
• Variational Methods
• Classification of solutions for an integral equation
• The Brezis-Nirenberg result for the fractional Laplacian

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