A version of Zhong′s coercivity result for a general class of nonsmooth functionals
Motreanu, D. ; Motreanu, V. V. ; Paşca, D.
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 601-612 / Harvested from Project Euclid
A version of Zhong′s coercivity result (1997) is established for nonsmooth functionals expressed as a sum $\Phi +\Psi$ , where $\Phi$ is locally Lipschitz and $\Psi$ is convex, lower semicontinuous, and proper. This is obtained as a consequence of a general result describing the asymptotic behavior of the functions verifying the above structure hypothesis. Our approach relies on a version of Ekeland′s variational principle. In proving our coercivity result we make use of a new general Palais-Smale condition. The relationship with other results is discussed.
Publié le : 2002-05-14
Classification:  58E30,  58E05,  49K27
@article{1050348308,
     author = {Motreanu, D. and Motreanu, V. V. and Pa\c sca, D.},
     title = {A version of Zhong's coercivity result for a general class of nonsmooth functionals},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 601-612},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348308}
}
Motreanu, D.; Motreanu, V. V.; Paşca, D. A version of Zhong′s coercivity result for a general class of nonsmooth functionals. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  601-612. http://gdmltest.u-ga.fr/item/1050348308/