Positivity preserving property for a class of biharmonic elliptic problems |
| |
Authors: | Elvise Berchio Filippo Gazzola Enzo Mitidieri |
| |
Institution: | a Dipartimento di Matematica, Via Carlo Alberto 10, 10123 Torino, Italy b Dipartimento di Matematica del Politecnico, Piazza L. da Vinci 32, 20133 Milano, Italy c Dipartimento di Matematica e Informatica, Via A. Valerio 12/1, 34100 Trieste, Italy |
| |
Abstract: | The lack of a general maximum principle for biharmonic equations suggests to study under which boundary conditions the positivity preserving property holds. We show that this property holds in general domains for suitable linear combinations of Dirichlet and Navier boundary conditions. The spectrum of this operator exhibits some unexpected features: radial data may generate nonradial solutions. These boundary conditions are also of some interest in semilinear equations, since they enable us to give explicit radial singular solutions to fourth order Gelfand-type problems. |
| |
Keywords: | 35B50 35J40 47A75 |
本文献已被 ScienceDirect 等数据库收录! |
|