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arXiv · 0805.4710

Generalizations of the Lax-Milgram theorem

D. Drivaliaris·N. Yannakakis
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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.

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BibTeXRIS

D. Drivaliaris, N. Yannakakis. 2008-05-30. Generalizations of the Lax-Milgram theorem. https://doi.org/10.1155/2007/87104

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