Existence results on the one-dimensional Dirichlet problem suggested by the piecewise linear case

Arias, M.

doi:10.1090/S0002-9939-1986-0831399-2

Existence results on the one-dimensional Dirichlet problem suggested by the piecewise linear case
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Proc. Amer. Math. Soc. 97 (1986), 121-127 Request permission

Abstract:

We study the existence of solutions of a two-point boundary value problem at resonance in which the nonlinearity grows at most linearly. Sharp results for the linear growth of the nonlinearity in each direction are obtained.

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