On the Schrödinger-poisson-slater System: Behavior of Minimizers, Radial and Nonradial Cases
نویسنده
چکیده
This paper is motivated by the study of a version of the so-called Schrödinger-Poisson-Slater problem: −∆u+ ωu+ λ „
منابع مشابه
Multiple Positive Solutions for a Schrödinger-poisson-slater System
In this paper we investigate the existence of positive solutions to the following Schrödinger-Poisson-Slater system
متن کاملLong-Time Dynamics of the Schrödinger–Poisson–Slater System
In this paper we analyze the asymptotic behaviour of solutions to the Schrödinger– Poisson–Slater (SPS) system in the frame of semiconductor modeling. Depending on the potential energy and on the physical constants associated with the model, the repulsive SPS system develops stationary or periodic solutions. These solutions preserve the L(R) norm or exhibit dispersion properties. In comparison ...
متن کاملNondegeneracy of Nonradial Sign-changing Solutions to the Nonlinear Schrödinger Equations
We prove the non-degeneracy of the non-radial sign-changing solutions to the nonlinear Schrödinger equation ∆u− u+ |u|p−1u = 0 in R constructed by Musso, Pacard and Wei [19].
متن کاملNondegeneracy of Nonradial Sign-changing Solutions to the Nonlinear Schrödinger Equation
We prove that the non-radial sign-changing solutions to the nonlinear Schrödinger equation ∆u− u + |u|p−1u = 0 in R , u ∈ H(R ) constructed by Musso, Pacard, and Wei [19] are non-degenerate. This provides the first example of a non-degenerate sign-changing solution to the above nonlinear Schrödinger equation with finite energy.
متن کاملOn an Exchange Interaction Model for Quantum Transport: the Schrödinger–poisson–slater System
We study a mixed–state Schrödinger–Poisson–Slater system (SPSS). This system combines the nonlinear and nonlocal Coulomb interaction with a local potential nonlinearity known as the ”Slater exchange term” which models a fermionic effect. The origin of the model is explained and related models are also proposed. Existence, uniqueness and regularity of local–in–time and global solutions are analy...
متن کامل