A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth
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Publication:6196165
DOI10.12775/tmna.2022.058MaRDI QIDQ6196165
Francisco S. B. Albuquerque, Everaldo Souto de Medeiros, Marcelo F. Furtado, Jonison L. Carvalho
Publication date: 14 March 2024
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-62/issue-1/A-planar-Schr%c3%b6dinger-Poisson-system-with-vanishing-potentials-and-exponential/10.12775/TMNA.2022.058.full
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)
Cites Work
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- Stationary nonlinear Schrödinger equations in \(\mathbb {R}^2\) with potentials vanishing at infinity
- Partial symmetry of least energy nodal solutions to some variational problems
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On the planar Schrödinger-Poisson system
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- Bound state solutions for a class of nonlinear Schrödinger equations
- Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Solutions of Hartree-Fock equations for Coulomb systems
- Concentration phenomena for the Schrödinger-Poisson system in \(\mathbb{R}^2\)
- Ground state solutions for a nonlocal equation in \(\mathbb{R}^2\) involving vanishing potentials and exponential critical growth
- Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
- On a planar non-autonomous Schrödinger-Poisson system involving exponential critical growth
- On a planar Choquard equation involving exponential critical growth
- Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
- Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity
- Existence of ground state solutions for the planar axially symmetric Schrödinger-Poisson system
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Weighted Sobolev embedding with unbounded and decaying radial potentials
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- A New Proof of Subcritical Trudinger-Moser Inequalities on the Whole Euclidean Space
- NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
- On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- Existence of positive solution for a planar Schrödinger-Poisson system with exponential growth
- Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
- Ground states and high energy solutions of the planar Schrödinger–Poisson system
- Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity
