In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems.
Supersolution and comparison principles are our main ingredients.
@article{urn:eudml:doc:41193, title = {Compactness of support of solutions for some classes of nonlinear elliptic and parabolic systems.}, journal = {Publicacions Matem\`atiques}, volume = {38}, year = {1994}, pages = {227-241}, mrnumber = {MR1291965}, zbl = {0828.35061}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41193} }
Bouchekif, M. Compactness of support of solutions for some classes of nonlinear elliptic and parabolic systems.. Publicacions Matemàtiques, Tome 38 (1994) pp. 227-241. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41193/