We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. The functionals considered belong to a class which includes semi-coercive, compact-coercive and P-coercive functionals. Some applications to nonlinear partial differential equations are given.
@article{bwmeta1.element.bwnjournal-article-bcpv35i1p51bwm,
author = {Le, Vy and Schmitt, Klaus},
title = {On minimizing noncoercive functionals on weakly vlosed sets},
journal = {Banach Center Publications},
volume = {37},
year = {1996},
pages = {51-72},
zbl = {0855.35049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p51bwm}
}
Le, Vy; Schmitt, Klaus. On minimizing noncoercive functionals on weakly vlosed sets. Banach Center Publications, Tome 37 (1996) pp. 51-72. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv35i1p51bwm/
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