Positive solutions for nonlinear Schrödinger-Poisson systems with general nonlinearity

DOI10.1007/s00030-022-00791-2zbMath1492.35108arXiv2109.02007OpenAlexW3197536101MaRDI QIDQ2149900

Tsung-fang Wu, Ching-Yu Chen

Publication date: 27 June 2022

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02007

zbMATH Keywords

Ekeland variational principleSchrödinger-Poisson systemexistence of ground state solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (2)

Solutions of a quasilinear Schrödinger-Poisson system with linearly bounded nonlinearities ⋮ Existence and nonexistence of solutions for Schrödinger-Poisson problems

Cites Work

• Unnamed Item
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• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
• Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
• Ground states for Schrödinger-Poisson type systems
• On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
• The principle of symmetric criticality
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
• Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb R^3\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \(\mathbb R^N\), \(N \geq 2\)
• On Schrödinger-Poisson systems
• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Symmetry and related properties via the maximum principle
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Uniqueness of positive solutions of \(\Delta u+f(u)=0\) in \(\mathbb{R}^N\), \(N\geqq 3\)
• Non-autonomous Schrödinger-Poisson system in \(\mathbb{R}^{3}\)
• Solutions of Hartree-Fock equations for Coulomb systems
• On the variational principle
• Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
• On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density
• Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems
• The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
• Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
• Standing waves for nonlinear Schrödinger equations with a general nonlinearity
• Uniqueness of the positive solution of \(\Delta u+f(u)=0\) in an annulus
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• Existence and symmetry breaking of ground state solutions for Schrödinger-Poisson systems
• Uniqueness of ground states for quasilinear elliptic equations
• Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well
• Positive bound state solutions for some Schrödinger–Poisson systems
• Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
• Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
• Uniqueness of the ground state solutions of △u+f(u)=0 in Rⁿ, n≥3
• Multiple positive bound states for critical Schrödinger-Poisson systems
• Two positive solutions to non-autonomous Schrödinger–Poisson systems
• Schrödinger–Poisson systems with a general critical nonlinearity

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