RT Journal Article
T1 Positive solutions for φ-Laplacian equations with discontinuous state-dependent forcing terms
A1 Precup, Radu
A1 Rodríguez López, Jorge
K1 Discontinuous differential equation
K1 φ-Laplacian problem
K1 Positive solution
K1 Fixed point
K1 Multivalued map
K1 Infinitely many solutions
AB This paper concerns the existence, localization and multiplicity of positive solutions fora  -Laplacian problem with a perturbed term that may have discontinuities in the state variable.First, the initial discontinuous differential equation is replaced by a differential inclusion withan upper semicontinuous term. Next, the existence and localization of a positive solution of theinclusion is obtained via a compression-expansion fixed point theorem for a composition of twomultivalued maps, and finally, a suitable control of discontinuities allows to prove that any solutionof the inclusion is a solution in the sense of Carathéodory of the initial discontinuous equation. Nomonotonicity assumptions on the nonlinearity are required
PB Vilnius University Press
SN 1392-5113
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21169
UL http://hdl.handle.net/10347/21169
LA eng
NO PrecupR. and Rodríguez-LópezJ. (2019) “Positive solutions for phi-Laplace equations with discontinuous state-dependent forcing terms”, Nonlinear Analysis: Modelling and Control, 24(3), 447-461. doi: 10.15388/NA.2019.3.8.
DS Minerva
RD 27 abr 2026