We investigate the existence of positive solutions of a Dirichlet problem for the system -A. =f(u),-Av =g(u) in a bounded convex domain 0 of IRN with smooth boundary. In particular L" a priori bounds are obtained in the same spirit as in De Figueiredo - Lions - Nussbaum [7].
Positive solutions of semilinear elliptic systems
MITIDIERI, ENZO;
1992-01-01
Abstract
We investigate the existence of positive solutions of a Dirichlet problem for the system -A. =f(u),-Av =g(u) in a bounded convex domain 0 of IRN with smooth boundary. In particular L" a priori bounds are obtained in the same spirit as in De Figueiredo - Lions - Nussbaum [7].File in questo prodotto:
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