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/