Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 29, pp. 1-17.

Title: A priori estimates for global solutions and multiple equilibria
       of a superlinear parabolic problem involving measures
        
Author: Pavol Quittner (Comenius Univ., Mlynskadolina, Slovakia)
          
Abstract: 
 We consider a noncoercive elliptic problem in a bounded domain
 with a power nonlinearity and measure data.
 It is known that the problem possesses a stable solution
 and we prove existence of three further solutions.
 The proof is based on uniform bounds of global solutions of
 the corresponding parabolic problem and 
 on a topological degree argument.  
 
Submitted December 14, 200. Published May 2, 2001.
Math Subject Classifications: 35B45, 35J65, 35K60.
Key Words: superlinear parabolic equation; semilinear elliptic equation;
           multiplicity; singular solutions.