Discontinuous solutions of linear, degenerate elliptic equations
β Scribed by Xiao Zhong
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 147 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0021-7824
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π SIMILAR VOLUMES
This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, βu) = gdiv(f ), where a(x, u, βu) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor
In this paper, we study the problem -div a(x; u; βu) -div (u) + g(x; u) = f in in the setting of the weighted sobolev space W 1;p 0 ( ; ). The main novelty of our work is L β estimates on the solutions, and the existence of a weak and renormalized solution.
## 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)