Comparison theorem and uniqueness of positive solutions for sublinear elliptic equations
β Scribed by Ryuji Kajikiya
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 143 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
In this paper, we deal with the sublinear elliptic equation: -βu+V (x)u+a(x)|u| p sgn(u) = f on R N , N > 2, 0 < p < 1. Under suitable assumptions on the terms V and a, we prove some existence, uniqueness and multiplicity results. Continuity of solutions in the perturbation parameter f at 0 is also
## Abstract We establish the strong unique continuation property for positive weak solutions to degenerate quasilinear elliptic equations. The degeneracy is given by a suitable power of a strong __A__~β~ weight (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)