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/