We give an existence result for a periodic boundary value problem involving mean curvature-like operators. Following a recent work of R. Manásevich and J. Mawhin, we use an approach based on the Leray-Schauder degree.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-3, author = {Pierluigi Benevieri and Jo\~ao Marcos do \'O and Everaldo Souto de Medeiros}, title = {Nonlinear systems with mean curvature-like operators}, journal = {Banach Center Publications}, volume = {75}, year = {2007}, pages = {35-48}, zbl = {1128.34006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-3} }
Pierluigi Benevieri; João Marcos do Ó; Everaldo Souto de Medeiros. Nonlinear systems with mean curvature-like operators. Banach Center Publications, Tome 75 (2007) pp. 35-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc77-0-3/