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.
Recommended Citation
V. K. Le and K. Schmitt, "Minimization Problems for Noncoercive Functionals Subject to Constraints," Transactions of the American Mathematical Society, American Mathematical Society, Jan 1995.
The definitive version is available at https://doi.org/10.1090/S0002-9947-1995-1316854-3
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