Three solutions of p-Laplacian equations via a critical point theorem of Ricceri

Autor: Chun-yan Xue, He-yu Xu
Rok vydání: 2013
Předmět:
Zdroj: Acta Mathematicae Applicatae Sinica, English Series. 30:171-178
ISSN: 1618-3932
0168-9673
DOI: 10.1007/s10255-013-0227-1
Popis: In this paper, we consider the following quasilinear differential equation $$(\phi _p (u'))' + \lambda f(t,u) = 0$$ subject to one of the two boundary conditions: $$u(0) = u'(1) = 0,u'(0) = u(1) = 0$$ . After transforming them into a problem of symmetrical solutions, the existence of three solutions of the problem is obtained by using a recent critical point theorem of Recceri. An example is given to demonstrate our main result.
Databáze: OpenAIRE
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