A Liouville-type theorem for the equation of special Lagrangian manifolds
β Scribed by A. A. Borisenko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 169 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
## Abstract We offer a new proof of a special Tauberian theorem for Fourier type integrals. This Tauberian theorem was already considered by us in the papers [1] and [2]. The idea of our initial proof was simple, but the details were complicated because we used Bochner's definition of generalized F
We consider the semilinear parabolic equation u t = u + u p on R N , where the power nonlinearity is subcritical. We first address the question of existence of entire solutions, that is, solutions defined for all x β R N and t β R. Our main result asserts that there are no positive radially symmetri