Nonlinear elliptic boundary value problems at resonance with nonlinear Wentzell boundary conditions
Dynamical Systems
2011-05-20 v1 Analysis of PDEs
Functional Analysis
Abstract
In the first part of the article, we give necessary and sufficient conditions for the solvability of a class of nonlinear elliptic boundary value problems with nonlinear boundary conditions involving the q-Laplace-Beltrami operator. In the second part, we give some additional results on existence, uniqueness and continuous dependence estimates of the weak solutions for these classes of nonlinear problems. Finally, we show that these solutions are also bounded and provide explicit estimates.
Keywords
Cite
@article{arxiv.1105.3870,
title = {Nonlinear elliptic boundary value problems at resonance with nonlinear Wentzell boundary conditions},
author = {Ciprian G. Gal and Mahamadi Warma},
journal= {arXiv preprint arXiv:1105.3870},
year = {2011}
}