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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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


Author: M. Arias
Journal: Proc. Amer. Math. Soc. 97 (1986), 121-127
MSC: Primary 34B15
DOI: https://doi.org/10.1090/S0002-9939-1986-0831399-2
MathSciNet review: 831399
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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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DOI: https://doi.org/10.1090/S0002-9939-1986-0831399-2
Keywords: Resonance, a priori bounds, Sturm comparison theory, Dirichlet piecewise linear problem
Article copyright: © Copyright 1986 American Mathematical Society