𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nontrivial solutions for some fourth order boundary value problems with parameters

✍ Scribed by Yang Yang; Jihui Zhang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
679 KB
Volume
70
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Existence of solutions for some fourth-o
✍ Yang Yang; Jihui Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 285 KB

In this paper, existence and multiplicity results for solutions are obtained for the fourth-order boundary value problem and Ξ» ∈ R + are parameters. By using the critical point theory and Morse theory, we obtain that if ΞΎ , Ξ· satisfy ΞΎ Ο€ 4 + Ξ· Ο€ 2 < 1, then the above BVP has solutions where Ξ» is in

Multiple nontrivial solutions for some f
✍ Jihui Zhang; Shujie Li πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this paper, we consider the existence of multiple nontrivial solutions for some fourth order semilinear elliptic boundary value problems. The weak solutions are sought by means of Morse theory and local linking.

Nontrivial solutions for higher order mu
✍ Xinguang Zhang; Lishan Liu πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 276 KB

In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suit

Existence and multiplicity of solutions
✍ Xi-Lan Liu; Wan-Tong Li πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 267 KB

This paper is concerned with the existence and multiplicity of the solutions for the fourth-order boundary value problem η and λ ∈ R are parameters. Using the variational structure of the above boundary value problem and critical point theory, it is shown that the different locations of the pair (η