Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero

1 January 1994

journal article
research article
Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Vol. 124 (6) , 1165-1176
https://doi.org/10.1017/s0308210500030171

Abstract

We study the existence of changing sign solutions of an elliptic semilinear boundary value problem, which arises as a limiting equation of the two species Lotka–Volterra competing equations system. Using variational methods and a result of D'Aujourd'hui, we find conditions which are both sufficient and necessary for this existence problem.

Keywords

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