On the planar Schrödinger-Poisson system with zero mass and critical exponential growth
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Publication:2025726
zbMath1466.35129MaRDI QIDQ2025726
Publication date: 14 May 2021
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ade/1605150119
Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)
Related Items (2)
Schrödinger–Poisson system with zero mass and convolution nonlinearity in R 2 ⋮ On the planar Schrödinger–Poisson system with zero mass potential
Cites Work
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- Schrödinger-Poisson system with steep potential well
- On the Schrödinger-Poisson equations with a general nonlinearity in the critical growth
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
- On the planar Schrödinger-Poisson system
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- Best constant in Sobolev inequality
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Solutions of Hartree-Fock equations for Coulomb systems
- Minimax theorems
- Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
- Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- Existence of ground state solutions for the planar axially symmetric Schrödinger-Poisson system
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
- Binding of atoms and stability of molecules in hartree and thomas-fermi type theories.
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Thomas-fermi and related theories of atoms and molecules
- 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
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Ground states and high energy solutions of the planar Schrödinger–Poisson system
- The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth
- On a “Zero Mass” Nonlinear Schrödinger Equation
- Quasilinear asymptotically periodic Schrödinger equations with critical growth
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