Minimization Problems for Noncoercive Functionals Subject to Constraints

Abstract

We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. These results in turn yield critical point theorems for certain classes of homogeneous functionals. Several applications to the study of boundary value problems for quasilinear elliptic equations are included.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0002-9947

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1995 American Mathematical Society, All rights reserved.

Publication Date

01 Jan 1995

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