Abstract
In this paper, we develop a fixed point index theory for decomposable multivalued maps, that is, compositions of two multivalued nonlinear upper semicontinuous maps. As an application, this fixed point index theory is combined with the method of lower and upper solutions in order to obtain new existence, localization and multiplicity results for \(\phi\)-Laplacian problems with discontinuous nonlinearities and nonlinear functional boundary conditions.
Authors
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Jorge Rodríguez-López
Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, 15782, Facultade de Matemáticas, Campus Vida, Santiago, Spain
Keywords
Fixed point index theory; Discontinuous differential equation; Multiple solutions; ϕ-Laplacian equation; Lower and upper solutions
Paper coordinates
R. Precup, J. Rodríguez-López, Fixed point index theory for decomposable multivalued maps and applications to φ-Laplacian problems, Nonlinear Anal. 199 (2020) 111958, 16 p., http://doi.org/10.1016/j.na.2020.111958
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