Compression–Expansion Fixed Point Theorems for Decomposable Maps and Applications to Discontinuous ϕ-Laplacian problems
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Universidade de Santiago de Compostela
info
ISSN: 1575-5460
Ano de publicación: 2021
Volume: 20
Número: 3
Tipo: Artigo
Outras publicacións en: Qualitative theory of dynamical systems
Resumo
In this paper, we prove new compression–expansion type fixed point theorems in cones for the so-called decomposable maps, that is, compositions of two upper semicontinuous multivalued maps. As an application, we obtain existence and localization of positive solutions for a differential equation with ϕ-Laplacian and discontinuous nonlinearity subject to multi-point boundary conditions. As far as we are aware, the existence results are new even in the classical case of continuous nonlinearities.
Información de financiamento
Financiadores
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Xunta de Galicia
- ED431C 2019/02
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