A variant of the three-ball theorem for the solution of elliptic equations and a related theorem of Phragmen-Lindelof type
✍ Scribed by E. M. Landis; A. L. Gusarov
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 839 KB
- Volume
- 32
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
The aim of this paper is to prove the following theorem of the PHRAGMEN-LINDE-LOF type. ## Theorem. Let f ( z ) be analytic in the angular domain and for some p E (0, + -) satistifis the following conditions: a) there exists the boundary function f [ r e q ) ( k i i x l ( 2 a ) ) I ~L p (0, +-) s
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 ∈ R N and t ∈ R. Our main result asserts that there are no positive radially symmetri