In this paper, we study the existence of two positive solutions of superlinear elliptic equations without assuming the conditions which have been used in the literature to deduce either the P.S. condition or a priori bounds of positive solutions. The first solution is proved as the minimal positive
Unique continuation for positive solutions of degenerate elliptic equations
β Scribed by Giuseppe Di Fazio; Pietro Zamboni
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 78 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
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)
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