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Zbl 1191.34028
Heidarkhani, S.; Motreanu, D.
Multiplicity results for a two-point boundary value problem. (English)
[J] Panam. Math. J. 19, No. 3, 69-78 (2009). ISSN 1064-9735

The main purpose of the paper is to establish conditions for the existence of a least three weak solutions for a general quasilinear two point boundary value problem. The results of the authors extend in several directions previous works by relaxing some hypotheses. The applicability of the results is illustrated by examples.
[Nicolae Pop (Baia Mare)]
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE
47J10 Nonlinear eigenvalue problems
34B09 Boundary value problems with an indefinite weight

Keywords: two points boundary value problems; doubly eigenvalue problems; multiple solutions; critical point

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