๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Uniqueness of positive solutions for generalized Laplacian boundary value problems

โœ Scribed by Chung-Fen Lee; Wei-Cheng Lian; Fu-Hsiang Wong; Cheh-Chih Yeh

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
403 KB
Volume
40
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we establish the uniqueness of positive solutions of generalized Laplacian boundary value problems

where as,/~i _> 0 and ai 2 +/?i 2 ยข 0 (i = 1, 2). (~

๐Ÿ“œ SIMILAR VOLUMES

Existence of positive solutions for m-La
Existence of positive solutions for m-Laplacian boundary value problems
โœ Fu-Hsiang Wong ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

Sufficient conditions for the existence of positive solutions of the nonlinear m-Laplacian boundary value problem are constructed, where m > 2 and f : [0, 1) x (0, oo) --\* (0, oo) satisfying f(t, u) is locally Lipschitz continuous for u 6 (0, cx)), and f(t,u)/u m-1 is strictly decreasing in u > 0

Symmetric positive solutions for nonline
Symmetric positive solutions for nonlinear boundary value problems with -Laplacian operator
โœ Yan Luo; Zhiguo Luo ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 302 KB

This paper proves the existence, multiplicity, and nonexistence of symmetric positive solutions to nonlinear boundary value problems with Laplacian operator. We improve and generalize some relative results. Our analysis mainly relies on the fixed point theorem of cone expansion and compression of no