Maximum principles for generalized solutions of quasi-linear elliptic equations
โ Scribed by Wang Xiang-dong; Xu Xiao-zeng; Liang Xi-ting
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 391 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0253-4827
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๐ SIMILAR VOLUMES
The strong maximum principle is proved to hold for weak (in the sense of support functions) sub-and supersolutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C 0 -space-like hypersurfaces in a Lorentzian manifold. As one application, a Lorentzian warp
In this paper, we study the radial oscillatory solutions with a prescribed number of zeros by a scaling argument and obtain precise estimates of the gap between the successive zeros, which improves and extends some of the results existing in the literatures [1,21.
Let be either a ball or an annulus centered about the origin in N and p the usual p-Laplace operator in ฮฒ โ 0 1 be any two radial weak solutions ofp u i = b u i + f i in . We then show that u 1 โค u 2 in implies u 1 < u 2 in and also that appropriate versions of Hopf boundary point principle hold.