English

On a mixed cubic-superlinear non radially symmetric Schr\"odinger system - Part I: Existence and uniqueness of solutions

Analysis of PDEs 2018-05-16 v1

Abstract

In this paper a nonlinear coupled Schrodinger system in the presence of mixed cubic and superlinear power laws is considered. Focus are made on the steady state solutions of the continuous system for existence and uniqueness by minimizing problem on some associated Nehari manifold.

Keywords

Cite

@article{arxiv.1805.05766,
  title  = {On a mixed cubic-superlinear non radially symmetric Schr\"odinger system - Part I: Existence and uniqueness of solutions},
  author = {Abdurahman F. Aljohani and Anouar Ben Mabrouk},
  journal= {arXiv preprint arXiv:1805.05766},
  year   = {2018}
}

Comments

12 pages