Ground state solutions for Schrödinger-Poisson systems with multiple weighted critical exponents
DOI10.1007/s00030-021-00728-1zbMath1479.35268OpenAlexW3202020845MaRDI QIDQ2241308
Publication date: 8 November 2021
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00030-021-00728-1
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) 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) Boundary value problems for second-order elliptic systems (35J57)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solutions of a Schrödinger-Poisson system with combined nonlinearities
- Infinitely many solutions for a Schrödinger-Poisson system with concave and convex nonlinearities
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- Embedding theorems and existence results for nonlinear Schrödinger-Poisson systems with unbounded and vanishing potentials
- On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- Positive solutions of nonlinear Schrödinger-Poisson systems with radial potentials vanishing at infinity
- Positive solutions for Schrödinger-Poisson equations with a critical exponent
- On Schrödinger-Poisson systems
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Solutions of Hartree-Fock equations for Coulomb systems
- On the variational principle
- Minimax theorems
- Critical exponents of weighted Sobolev embeddings for radial functions
- Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
- Dual variational methods in critical point theory and applications
- Local minimizers in spaces of symmetric functions and applications
- Weighted Sobolev embedding with unbounded and decaying radial potentials
- Nonradial solutions for the Hénon equation in \(\mathbb R^N\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on $\mathbb{R}^{N}$
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- The Schrödinger–Poisson System with Positive Potential
- NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
- GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- Global and local behavior of positive solutions of nonlinear elliptic equations
- A ecessary and Sufficient Condition for The Stability of General molecular Systems
- Thomas-fermi and related theories of atoms and molecules
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
- Existence and multiplicity of solutions of Schrödinger—Poisson systems with radial potentials
- Infinitely many positive solutions for a Schrödinger-Poisson system
This page was built for publication: Ground state solutions for Schrödinger-Poisson systems with multiple weighted critical exponents
