Colloquium
Multiplicity of solutions for parametric p-Laplacian equations with a concave nonlinearity near the origin, by Nikolaos Papageorgiou (National Technical University, Athens, Greece)
| What | Colloquium |
|---|---|
| When |
May 15, 2008 from 04:10 pm to 05:00 pm |
| Where | 318 Morton Hall |
| Contact Name | Sergiu Aizicovici |
| Contact Email | aizicovi@math.ohiou.edu |
| Contact Phone | 740-593-1272 |
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Abstract: We consider a nonlinear elliptic problem driven by the p-Laplacian and depending on a parameter L>0. The right hand side nonlinearity is concave (i.e., p-sublinear) near the origin. For such problems we prove two multiplicity results: the first one, when the right hand side nonlinearity is p-linear near infinity, and the second when it is p-superlinear. Both results show that there exists hat{L}_0>0 such that the problem has five nontrivial solutions (two positive, two negative and one nodal), if the parameter 0<L<hat{L}_0. We also study the case L=hat{L}_0.
