In this paper we study the existence of normalized standing wave solutions for a Schrödinger–Poisson system in a bounded domain of R3. We assign a Dirichlet boundary condition for the wave function and a Neumann boundary condition for the potential ø.In particular this last condition has some interesting consequences which force us to consider the case in which the interaction “constant” q is merely a constant function or not. However with very mild assumption on q we are able to find infinitely many solutions in both cases. The result presented here can be found with all the details in the papers [14, 16].
Normalized solutions for a Schrödinger–Poisson system under a neumann condition
Pisani L.;Siciliano G.
2014-01-01
Abstract
In this paper we study the existence of normalized standing wave solutions for a Schrödinger–Poisson system in a bounded domain of R3. We assign a Dirichlet boundary condition for the wave function and a Neumann boundary condition for the potential ø.In particular this last condition has some interesting consequences which force us to consider the case in which the interaction “constant” q is merely a constant function or not. However with very mild assumption on q we are able to find infinitely many solutions in both cases. The result presented here can be found with all the details in the papers [14, 16].File in questo prodotto:
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