RT Journal Article
T1 Fixed point index theory for decomposable multivalued maps and applications to discontinuous ϕ-Laplacian problems
A1 Precup, Radu
A1 Rodríguez López, Jorge
K1 Fixed point index theory
K1 Discontinuous differential equation
K1 Multiple solutions
K1 ϕ-Laplacian equation
K1 Lower and upper solutions
AB 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 ϕ-Laplacian problems with discontinuous nonlinearities and nonlinear functional boundary conditions.
PB Elsevier
SN 0362-546X
YR 2020
FD 2020
LK https://hdl.handle.net/10347/44794
UL https://hdl.handle.net/10347/44794
LA eng
NO Nonlinear Analysis Volume 199, October 2020, 111958
NO Jorge Rodríguez-López was financially supported by Xunta de Galicia, Spain under grant ED481A-2017/178 and partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, Spain, Project MTM2016-75140-P, and Xunta de Galicia, Spain ED431C 2019/02.
DS Minerva
RD 8 jun 2026