Generalizations of the Lax-Milgram Theorem

被引：0
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作者：
Dimosthenis Drivaliaris
Nikos Yannakakis
机构：
[1] University of the Aegean,Department of Financial and Management Engineering
[2] National Technical University of Athens,Department of Mathematics, School of Applied Mathematics and Natural Sciences
来源：
Boundary Value Problems | / 2007卷
关键词：
Differential Equation; Banach Space; Partial Differential Equation; Ordinary Differential Equation; Functional Equation;
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摘要：
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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