Advertisement
Published in:
2013 | OriginalPaper | Chapter
Positive Solutions of Semilinear Elliptic Systems
Authors : Ph. Clkment, D. G. de Figueiredo, E. Mitidieri
Published in: Djairo G. de Figueiredo - Selected Papers
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We investigate the existence of positive solutions of a Dirich let problem for the system
$$ - \Updelta u = f(v),\,\Updelta v = g(u) $$
in a bounded convex domain Ω of
$$ {\mathbb{R}}^{N} $$
with smooth boundary. In particular
L
∞
a priori bounds are obtained in the same spirit as in De Figueiredo—Lions—Nussbaum [7].