Positive solutions of nonlinear elliptic systems
Tom 58 / 1993
Annales Polonici Mathematici 58 (1993), 201-212
DOI: 10.4064/ap-58-2-201-212
Streszczenie
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.