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Existence of three solutions for a quasilinear two point boundary value problem

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In this paper we deal with the existence of at least three classical solutions for the following ordinary Dirichlet problem:¶¶\( \left\{\begin{array}{ll} u'' + \lambda h(u')f(t,\:u) = 0\\ u(0) = u(1) = 0.\\\end{array}\right.\ \)¶¶Our main tool is a recent three critical points theorem of B. Ricceri ([10]).

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Eingegangen am 4. 12. 2000

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Livrea, R. Existence of three solutions for a quasilinear two point boundary value problem. Arch. Math. 79, 288–298 (2002). https://doi.org/10.1007/s00013-002-8315-0

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  • DOI: https://doi.org/10.1007/s00013-002-8315-0

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