Generalizations of the Lax-Milgram theorem
Functional Analysis
2008-06-02 v1
Abstract
We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular we give sufficient conditions for a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the latter. We also give two applications to singular differential equations.
Cite
@article{arxiv.0805.4710,
title = {Generalizations of the Lax-Milgram theorem},
author = {D. Drivaliaris and N. Yannakakis},
journal= {arXiv preprint arXiv:0805.4710},
year = {2008}
}