On some elliptic boundary-value problems with discontinuous nonlinearities
Volume 86 / 2005
Annales Polonici Mathematici 86 (2005), 283-290
MSC: 35J25, 26E25.
DOI: 10.4064/ap86-3-6
Abstract
We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form $\psi (-\mit\Delta u)=f(x,u)$. We emphasize that our assumptions permit the nonlinear term $f$ to be discontinuous with respect to the second variable at each point.
