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Critical point theory with weak‐to‐weak linking
Author(s) -
Schechter Martin
Publication year - 1998
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199811/12)51:11/12<1247::aid-cpa1>3.0.co;2-m
Subject(s) - mathematics , mathematical economics , pure mathematics
We discuss a critical point theorem based on the linking of two sets. We consider the situation in which neither set is contained in a finite‐dimensional manifold. In order to do so, we require the derivative of the functional to have weak‐to‐weak continuity. An application is given. © 1998 John Wiley & Sons, Inc.