GENERALIZATIONS OF THE LAX-MILGRAM THEOREM
Dimosthenis Drivaliaris, Nikos Yannakakis, Tuoc In · 2013
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.