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Positive solutions of second order quasilinear equations corresponding to p-harmonic maps

โœ Scribed by Man-Chun Leung


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
639 KB
Volume
31
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


In this paper we study positive solutions u(r) of the following differential equation


๐Ÿ“œ SIMILAR VOLUMES


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โœ Leung-Fu Cheung; Chun-Kong Law; Man-Chun Leung ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 491 KB

Let ~ and ]~ be positive solutions on (0, ~) to the rotationally symmetric p-harmonic map equation on model manifolds M(f) and M(ff), where f is assumed to he sufficiently large near infinity and g"(y) >1 0 for y>0. We show that if and fl have the same limit at infinity, then ~ -]~ on (0, o<~).

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This paper concerns the existence of positive solutions to a singular differential equation with the boundary conditions where ฮป, ฮณ > 0, f (t) โˆˆ C[0, 1] and f (t) > 0 on [0, 1]. By theories of ordinary differential equations, Bertsch and Ughi [M. Bertsch, M. Ughi, Positivity properties of viscosit