On Some Elliptic Interface Problems with Nonhomogeneous Jump Conditions
Analysis of PDEs
2013-04-10 v4
Abstract
We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions. Our proofs in bounded domains use Morse theoretical arguments, in particular, critical group computations. An extension to the whole space is proved using concentration compactness arguments.
Cite
@article{arxiv.1303.4760,
title = {On Some Elliptic Interface Problems with Nonhomogeneous Jump Conditions},
author = {T. Gnana Bhaskar and Kanishka Perera},
journal= {arXiv preprint arXiv:1303.4760},
year = {2013}
}