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Normalized solutions to a Schr\"odinger-Bopp-Podolsky system under Neumann boundary conditions

Analysis of PDEs 2020-06-26 v1

Abstract

In this paper we study a Schr\"odinger-Bopp-Podolsky system of partial differential equations in a bounded and smooth domain of R3\mathbb R^3 with a non constant coupling factor. Under a compatibility condition on the boundary data we deduce existence and multiplicity of solutions by means of the Ljusternik-Schnirelmann theory.

Keywords

Cite

@article{arxiv.2006.14464,
  title  = {Normalized solutions to a Schr\"odinger-Bopp-Podolsky system under Neumann boundary conditions},
  author = {Danilo Gregorin Afonso and Gaetano Siciliano},
  journal= {arXiv preprint arXiv:2006.14464},
  year   = {2020}
}

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