A Note on The Schrödinger-Poisson-Slater Equation on Bounded Domains-Reference-Cited by-同舟云学术

A Note on The Schrödinger-Poisson-Slater Equation on Bounded Domains

Published:2008-02-01 Issue:1 Volume:8 Page:179-190
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Ruiz David¹,Siciliano Gaetano²

Affiliation:

1. SISSA, Via Beirut 2-4, Trieste 34014, Italy Permanent address: Dpto. Análisis Matemático, Univ. Granada 18071 Granada, Spain

2. Dpto di Matematica, Univ. degli Studi di Bari Via E. Orabona 4, Bari 70125, Italy

Abstract

Abstract In this note we consider the problem

where u, ϕ ∈ H0 1(Ω) and Ω ⊂ ℝ3 is a smooth bounded domain. We are interested in existence and multiplicity of solutions depending on the parameters p and λ. Our results extend previous work made in ℝ3.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2008-0106/pdf

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