We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-3-6, author = {Giovanni Anello}, title = {On some elliptic boundary-value problems with discontinuous nonlinearities}, journal = {Annales Polonici Mathematici}, volume = {85}, year = {2005}, pages = {283-290}, zbl = {1097.35041}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-3-6} }
Giovanni Anello. On some elliptic boundary-value problems with discontinuous nonlinearities. Annales Polonici Mathematici, Tome 85 (2005) pp. 283-290. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-3-6/