6533b824fe1ef96bd12816f9

RESEARCH PRODUCT

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

Roberto Livrea

subject

Dirichlet problemPoint boundaryPure mathematicsMultiple solutions critical point theoryGeneral MathematicsMathematical analysisLambdaValue (mathematics)Mathematics

description

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]).

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