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Existence results on the one-dimensional Dirichlet problem suggested by the piecewise linear case
Proceedings of the American Mathematical Society
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. Jo Jo Jo r"K err < g(+oo) I sin+nxdx -g(-00) / sin-nxdx.doi:10.1090/s0002-9939-1986-0831399-2 fatcat:isdbnxx3nvdglhtegej6p3kjae