Pavol Quittner

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.

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Pavol Quittner Institute of Applied Mathematics Comenius University Mlynskadolina SK - 84248 Bratislava, Slovakia e-mail: quittner@fmph.uniba.sk http://www.iam.fmph.uniba.sk/institute/quittner |

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