Existence and multiplicity of solutions for the Schrödinger-Poisson equation with prescribed mass
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Publication:6593061
DOI10.1007/s13324-024-00963-6zbMath1546.3508MaRDI QIDQ6593061
Publication date: 26 August 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)
Cites Work
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- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- Multiplicity of normalized solutions for a class of nonlinear Schrödinger-Poisson-Slater equations
- A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- Stable standing waves for a class of nonlinear Schrödinger-Poisson equations
- Scaling properties of functionals and existence of constrained minimizers
- The principle of symmetric criticality
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- The Thomas-Fermi theory of atoms, molecules and solids
- The Schrödinger-Poisson-\(X\alpha\) equation
- Multiple normalized solutions for a competing system of Schrödinger equations
- Solutions of Hartree-Fock equations for Coulomb systems
- Minimax theorems
- Normalized solutions of nonlinear Schrödinger equations
- A mass supercritical problem revisited
- Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
- Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
- Normalized solutions for a coupled Schrödinger system
- Normalized solutions for a Schrödinger equation with critical growth in \(\mathbb{R}^N\)
- Existence and concentration behavior of solutions for the logarithmic Schrödinger-Poisson system via penalization method
- Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
- Orbital stability of ground states for a Sobolev critical Schrödinger equation
- Existence and multiplicity results for some Schrödinger-Poisson system with critical growth
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation
- Existence and concentration behavior of solutions for the logarithmic Schrödinger-Bopp-Podolsky system
- Normalized solutions for Schrödinger-Poisson equations with general nonlinearities
- Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Normalized solutions to the Schrödinger-Poisson-Slater equation with general nonlinearity: mass supercritical case
- 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
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Nonradial normalized solutions for nonlinear scalar field equations
- Quasilinear Schrödinger–Poisson system with exponential and logarithmic nonlinearities
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