Fixed point index theory for decomposable multivalued maps and applications to discontinuous ϕ-Laplacian problems
- Radu Precup 1
- Jorge Rodríguez-López 2
- 1 Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
- 2 Departamento de Estatística, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, 15782, Facultade de Matemáticas, Campus Vida, Santiago, Spain
ISSN: 0362-546X
Año de publicación: 2020
Volumen: 199
Páginas: 111958
Tipo: Artículo
Otras publicaciones en: Nonlinear Analysis
Resumen
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 -Laplacian problems with discontinuous nonlinearities and nonlinear functional boundary conditions.