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Multiple solutions to fourth-order boundary value problems

โœ Scribed by Yaqiong Cui

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
476 KB
Volume
57
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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In this paper, we study the existence and multiplicity of solutions to the fourth-order boundary value problem u (4)

By using the critical point theory and the infinite dimensional Morse theory, we establish some conditions on f which are able to guarantee that this boundary value problem has at least one nontrivial, two nontrivial, m distinct pairs of solutions, and infinitely many solutions, respectively. Our results improve some recent works.

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