𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence and multiplicity results for nonlinear boundary value problems

✍ Scribed by Chan-Gyun Kim; Yong-Hoon Lee

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
373 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper studies the existence of positive solutions for a class of boundary value problems of elliptic degenerate equations. By using bifurcation and fixed point index theories in the frame of approximation arguments, the criteria of the existence, multiplicity and nonexistence of positive solutions are established.

πŸ“œ SIMILAR VOLUMES

Existence and multiplicity results for n
Existence and multiplicity results for nonlinear periodic boundary value problems
✍ Xinan Hao; Lishan Liu; Yonghong Wu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 499 KB

This paper studies the existence of positive solutions for periodic boundary value problems. The criteria for the existence, nonexistence and multiplicity of positive solutions are established by using the Global continuation theorem, fixed point index theory and approximate method. The results obta

Existence and multiplicity results for s
Existence and multiplicity results for some three-point boundary value problems
✍ Rahmat Ali Khan; M. Rafique πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 184 KB

Using the method of upper and lower solutions and some degree theory arguments, we establish the existence of at least three solutions of some second-order nonlinear differential equations of the type subject to nonlinear three-point boundary conditions The growth of f with respect to x is allowed

A Multiplicity Result for a Nonlinear Bo
A Multiplicity Result for a Nonlinear Boundary Value Problem
✍ Kim Goudreau πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 196 KB

In this paper, we establish existence and multiplicity results for the problem Ε½ . Ε½. w x Ε½ . Ε½ . xΠ‰ q x q f t, x, xЈ s s t a.e. in 0, ; x 0 s x s β₯ , under the Ambrosetti᎐Prodi type condition, with f being a Caratheodory function.