In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
@article{107787,
author = {Mario Zuluaga Uribe},
title = {Nonzero and positive solutions of a superlinear elliptic system},
journal = {Archivum Mathematicum},
volume = {037},
year = {2001},
pages = {63-70},
zbl = {1090.35525},
mrnumber = {1822763},
language = {en},
url = {http://dml.mathdoc.fr/item/107787}
}
Zuluaga Uribe, Mario. Nonzero and positive solutions of a superlinear elliptic system. Archivum Mathematicum, Tome 037 (2001) pp. 63-70. http://gdmltest.u-ga.fr/item/107787/
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