Geodesic
A PRIORI ESTIMATES AND EXISTENCE ON STRONGLY COUPLED COOPERATIVE ELLIPTIC SYSTEMS
Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 437-457

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DOI

We study the boundary value problem $\begin{array}{rcl} {\rm div}(|\n u|^{m-2}\n u) + u^av^b &=& 0\quad \mbox{ in } {\Omega}, \vspace{\jot}\\ {\rm div}(|\n v|^{m-2}\n v) + u^cv^d &=& 0 \quad \mbox{ in } {\Omega}, \vspace{\jot}\\ u =v &= & 0 \quad \mbox{ on } {\partial}{\Omega},\vspace{\jot}\\ \end{array}$ where ${\Omega}\subset\mathbb{R}^n$ ($n\ge2$) is a bounded connected smooth domain, and the exponents $m>1$ and $a,b,c,d\ge0$ are non-negative numbers. Under appropriate conditions on the exponents $m$, $a$, $b$, $c$ and $d$, a variety of results on a priori estimates and existence of positive solutions has been established.
DOI : 10.1017/S0017089506003247
Mots-clés : 35J55, 35J65 
ZOU, HENGHUI. A PRIORI ESTIMATES AND EXISTENCE ON STRONGLY COUPLED COOPERATIVE ELLIPTIC SYSTEMS. Glasgow mathematical journal, Tome 48 (2006) no. 3, pp. 437-457. doi: 10.1017/S0017089506003247
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     author = {ZOU, HENGHUI},
     title = {A {PRIORI} {ESTIMATES} {AND} {EXISTENCE} {ON} {STRONGLY} {COUPLED} {COOPERATIVE} {ELLIPTIC} {SYSTEMS}},
     journal = {Glasgow mathematical journal},
     pages = {437--457},
     year = {2006},
     volume = {48},
     number = {3},
     doi = {10.1017/S0017089506003247},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089506003247/}
}
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