English

Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions

Analysis of PDEs 2007-06-19 v1

Abstract

Existence and non-existence results are established for quasilinear elliptic problems with nonlinear boundary conditions and lack of compactness. The proofs combine variational methods with the geometrical feature, due to the competition between the different growths of the non-linearities.

Keywords

Cite

@article{arxiv.0706.2403,
  title  = {Existence and non-existence results for quasilinear elliptic exterior problems with nonlinear boundary conditions},
  author = {Roberta Filippucci and Patrizia Pucci and Vicentiu Radulescu},
  journal= {arXiv preprint arXiv:0706.2403},
  year   = {2007}
}

Comments

Communications in Partial Differential Equations, in press