A PRIORI ESTIMATES FOR GLOBAL SOLUTIONS AND MULTIPLE EQUILIBRIA OF A SUPERLINEAR PARABOLIC PROBLEM INVOLVING MEASURES
Pavol Quíttner · DOAJ (DOAJ: Directory of Open Access Journals) · 2001
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.