Compression-expansion critical point theory in conical shells


A Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions are given componentwise which allows the nonlinear term of a system to have different behaviors both in components and in variables. Applications to boundary value problems for systems of second order differential equations are included.


Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


nonlinear boundary value problem; differential system; positive solution; fixed point; cone.

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R. Precup, Compression-expansion critical point theory in conical shells, Nonlinear Analysis and Variational Problems, in P.M. Pardos, Th.M. Rassias, A.A. Khan eds., Springer, New York, 2009, pp 135-146,



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