Carlos Cid & Cecilia Yarur
We study the existence of non-trivial non-negative solutions for the system
where p and q are positive constants with pq <1, and the domain is the unit ball of (N greater than 2) except for the center zero. We look for pairs of functions that satisfy the above system and Dirichlet boundary conditions set to zero. Our results also apply to some super-linear systems.
Submitted January 21, 2000. Published May 9, 2000.
Math Subject Classifications: 35A20, 35J60, 34B18.
Key Words: Semilinear elliptic systems, sub-harmonic functions, super-harmonic functions
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Departamento de Matematicas, Universidad de Santiago de Chile
Casilla 307, Correo 2, Santiago, Chile