Geodesic
On some elliptic boundary-value problems with discontinuous nonlinearities
Giovanni Anello1
1 Department of Mathematics University of Messina 98166 S.Agata, Messina, Italy
Annales Polonici Mathematici, Tome 86 (2005) no. 3, pp. 283-290.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap86-3-6
Keywords: establish existence results elliptic boundary value problems discontinuous nonlinearities concerns implicit elliptic equations form psi mit delta emphasize assumptions permit nonlinear term discontinuous respect second variable each point

Giovanni Anello 1

1 Department of Mathematics University of Messina 98166 S.Agata, Messina, Italy 
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Giovanni Anello. On some elliptic boundary-value problems
 with discontinuous nonlinearities. Annales Polonici Mathematici, Tome 86 (2005) no. 3, pp. 283-290. doi : 10.4064/ap86-3-6. http://geodesic.mathdoc.fr/articles/10.4064/ap86-3-6/

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