Existence of solutions for a Schrödinger-Poisson system with critical nonlocal term and general nonlinearity

DOI10.1155/2020/2197207zbMath1447.81119OpenAlexW3082949490MaRDI QIDQ2198912

Hong-Min Suo, Wei Guo, Chang-Mu Chu, Jiafeng Zhang

Publication date: 15 September 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/2197207

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear higher-order PDEs (35G20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

Infinitely many high energy radial solutions for Schrödinger-Poisson system in \(\mathbb{R}^3\)

Cites Work

• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• Generalized Schrödinger-Newton system in dimension \(N\geqslant 3\): critical case
• On a system involving a critically growing nonlinearity
• On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
• Positive solutions for Schrödinger-Poisson equations with a critical exponent
• On Schrödinger-Poisson systems
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term
• Positive solutions for a nonlocal Schrödinger-Newton system involving critical nonlinearity
• Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
• Multiple positive solutions for Schrödinger-Poisson system in \(\mathbb{R}^{3}\) involving concave-convex nonlinearities with critical exponent
• Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents
• Positive solutions of an asymptotically periodic Schrödinger-Poisson system with critical exponent
• Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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