Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities

Abstract


We establish compression-expansion type fixed point theorems for systems of operator inclusions with decomposable multivalued maps. The approach is vectorial allowing to localize individually the components of solutions and to obtain multiple solutions with multiplicity not necessarily concerned with all components of the solution. A general scheme of applicability of the theory is elaborated based on Harnack type inequalities and illustrated on systems of differential inclusions with one-dimentional ϕ-Laplacian.

Authors

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

Jorge Rodríguez-López

Keywords

Compression-expansion fixed point theorem; Harnack type inequality; positive solution; operator inclusion; nonlinear system; ϕ-Laplacian

Paper coordinates

R. Precup, J. Rodríguez-López, Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities, Quaestiones Mathematicae, 2022, https://doi.org/10.2989/16073606.2022.2107959

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About this paper

Journal

Quaestiones Mathematicae

Publisher Name

Taylor and Francis

Print ISSN

16073606

Online ISSN

1727933X

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