The multiplicity of solutions for the critical Schrödinger–Poisson system with competing potentials
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Publication:5020188
DOI10.1063/5.0056318zbMath1490.35400OpenAlexW4200281962MaRDI QIDQ5020188
Publication date: 4 January 2022
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0056318
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
- Unnamed Item
- Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
- Concentrating soliton solutions for quasilinear Schrödinger equations involving critical Sobolev exponents
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Schrödinger-Poisson system with steep potential well
- Stable standing waves for a class of nonlinear Schrödinger-Poisson equations
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
- Positive solutions for Schrödinger-Poisson equations with a critical exponent
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Existence and concentration of ground states for a Choquard equation with competing potentials
- Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation
- Infinite dimensional Morse theory and multiple solution problems
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- Positive solutions for a Kirchhoff-type problem involving multiple competitive potentials and critical Sobolev exponent
- Existence of semiclassical solutions for some critical Schrödinger-Poisson equations with potentials
- Localized nodal solutions of higher topological type for nonlinear Schrödinger-Poisson system
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- Existence and multiplicity of solutions for Schrödinger-Poisson equations with sign-changing potential
- Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations
- The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system
- Existence and concentration of ground states to a quasilinear problem with competing potentials
- Positive solution for a nonlinear stationary Schrödinger-Poisson system in \(\mathbb R^3\)
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Existence and multiplicity solutions of fractional Schrödinger equation with competing potential functions
- 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
- Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- Existence and concentration of positive ground state solutions for nonlinear fractional Schrödinger‐Poisson system with critical growth
- The concentration behavior of ground state solutions for a critical fractional Schrödinger–Poisson system
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