Multiple normalized solutions for the planar Schrödinger-Poisson system with critical exponential growth
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Publication:6123040
DOI10.1007/S00209-024-03432-9OpenAlexW4391882618MaRDI QIDQ6123040
Vicenţiu D. Rădulescu, Xian Hua Tang, Sitong Chen
Publication date: 4 March 2024
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-024-03432-9
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)
Cites Work
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- Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case
- Scaling properties of functionals and existence of constrained minimizers
- Bound states of the Schrödinger-Newton model in low dimensions
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- On the planar Schrödinger-Poisson system
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Ground state solution for a class of indefinite variational problems with critical growth
- Long-time dynamics of the Schrödinger-Poisson-Slater system
- Solutions of Hartree-Fock equations for Coulomb systems
- A mass supercritical problem revisited
- Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities
- Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with zero mass potential and critical exponential growth
- Planar Schrödinger-Poisson system with critical exponential growth in the zero mass case
- Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
- Orbital stability of ground states for a Sobolev critical Schrödinger equation
- Multiple normalized solutions for a Sobolev critical Schrödinger equation
- Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
- Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation
- Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth
- Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Binding of atoms and stability of molecules in hartree and thomas-fermi type theories.
- 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
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
- Ground states and high energy solutions of the planar Schrödinger–Poisson system
- Normalized solutions for Schrödinger equations with mixed dispersion and critical exponential growth in \(\mathbb{R}^2\)
- Existence of normalized solutions for the planar Schrödinger-Poisson system with exponential critical nonlinearity.
- Another look at Schrödinger equations with prescribed mass
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