Positive solutions for a nonlocal Schrödinger-Newton system involving critical nonlinearity
From MaRDI portal
Publication:2202976
DOI10.1016/j.camwa.2018.07.042zbMath1442.35113OpenAlexW2887935721MaRDI QIDQ2202976
Liu-Tao Guo, Chun-Yu Lei, Jiafeng Zhang
Publication date: 1 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.042
Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (2)
Infinitely many solutions for the Brézis-Nirenberg problem with nonlinear Choquard equations ⋮ Existence of solutions for a Schrödinger-Poisson system with critical nonlocal term and general nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- An asymptotically linear Schrödinger-Poisson system on \(\mathbb R^3\)
- Generalized Schrödinger-Newton system in dimension \(N\geqslant 3\): critical case
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition
- On a system involving a critically growing nonlinearity
- Existence results for the Klein-Gordon-Maxwell equations in higher dimensions with critical exponents
- Multiple positive solutions for a Schrödinger-Poisson-Slater system
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- Positive solutions for Schrödinger-Poisson equations with a critical exponent
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Positive solutions for a Schrödinger-Poisson system involving concave-convex nonlinearities
- Existence and multiplicity of solutions for a nonlocal problem with critical Sobolev exponent
- Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
- Existence and multiplicity of solutions for a superlinear Kirchhoff-type equations with critical Sobolev exponent in \(\mathbb R^N\)
- Dual variational methods in critical point theory and applications
- Multiple solitary waves for non-homogeneous Schrödinger-Maxwell equations
- Multiple positive solutions for Kirchhoff type problems involving concave-convex nonlinearities
- Note on a Schrödinger-Poisson system in a bounded domain
- Neumann condition in the Schrödinger-Maxwell system
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
This page was built for publication: Positive solutions for a nonlocal Schrödinger-Newton system involving critical nonlinearity
