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
Datum der Publikation: 2020
Ausgabe: 199
Seiten: 111958
Art: Artikel
Andere Publikationen in: Nonlinear Analysis
Zusammenfassung
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.