In this paper, existence and multiplicity results for solutions are obtained for the fourth-order boundary value problem and Ξ» β 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
Existence of infinitely many mountain pass solutions for some fourth-order boundary value problems with a parameter
β Scribed by Yang Yang; Jihui Zhang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 548 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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This paper is concerned with the existence and multiplicity of the solutions for the fourth-order boundary value problem Ξ· and Ξ» β 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 (Ξ·
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