Compression-expansion critical point theory in conical shells

Abstract

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.

Authors

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

Keywords

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

Paper coordinates

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, https://doi.org/10.1007/978-1-4419-0158-3_12

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About this paper

Journal

Nonlinear Analysis and Variational Problems

Publisher Name

Springer

Print ISBN

978-1-4419-0157-6

Online ISSN

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