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A general comparison theorem for nonlinear equations

โœ Scribed by Hung-Yih Chen; Huei-Lin Hong; Cheh-Chih Yeh

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
316 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, under some suitable conditions, we establish a general comparison theorem for positive solution of the following initial value problems:

= 0, and ยฉ2001 (p2(r)g(v(r))~.a(v'(r)))' + q2(r)f (v(r)) = 0, r > 0, v(O) = vo, 4(0) = O.

๐Ÿ“œ SIMILAR VOLUMES

A Quantitative Comparison Theorem for No
A Quantitative Comparison Theorem for Nonlinear Equations
โœ Xiaodong Zhu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

## 0 with r ) 0 and m ) 1, and show some applications of the theorem to the nonexistence problem of positive solutions of quasilinear equations. Basic models leading to such nonlinear equations are the degenerate Laplace equation and the steady-state porous medium equation.