Positive solutions of nonlinear elliptic systems
Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 201-212
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We study the existence and nonexistence of positive solutions of nonlinear elliptic systems in an annulus with Dirichlet boundary conditions. In particular, $L^∞$ a priori bounds are obtained. We also study a general multiple linear eigenvalue problem on a bounded domain.
Keywords:
a priori bounds, nonlinear elliptic systems, Maximum Principle
@article{10_4064_ap_58_2_201_212,
author = {Robert Dalmasso},
title = {Positive solutions of nonlinear elliptic systems},
journal = {Annales Polonici Mathematici},
pages = {201--212},
year = {1993},
volume = {58},
number = {2},
doi = {10.4064/ap-58-2-201-212},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-58-2-201-212/}
}
Robert Dalmasso. Positive solutions of nonlinear elliptic systems. Annales Polonici Mathematici, Tome 58 (1993) no. 2, pp. 201-212. doi: 10.4064/ap-58-2-201-212
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