English

Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions

Analysis of PDEs 2015-07-07 v3

Abstract

This paper deals with an existence and uniqueness result of the weak solution for a quasilinear elliptic PDE with nonlinear Robin boundary conditions.This problem is defined on a domain whose boundary is the union of two disjoint surfaces.where a Dirichelet condition is prescribed on the exterior boundary and a nonlinear Robin condition on the interior one.To achieve that, we use the theory of monotone operators

Keywords

Cite

@article{arxiv.1410.4042,
  title  = {Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions},
  author = {Djamel Ait Akli},
  journal= {arXiv preprint arXiv:1410.4042},
  year   = {2015}
}

Comments

This paper has been withdrawn by the author due to an error in theorem 1