RT Journal Article
T1 On the localization and numerical computation of positive radial solutions for ϕ-Laplace equations in the annulus
A1 Precup, Radu
A1 Gheorghiu, Calin-Ioan
A1 Rodríguez López, Jorge
K1 ϕ-Laplace operator
K1 Radial solution
K1 Positive solution
K1 Fixed point index
K1 Harnack type inequality
K1 Numerical solution
AB The paper deals with the existence and localization of positive radial solutions for stationary partial differential equations involving a general ϕ-Laplace operator in the annulus. Three sets of boundary conditions are considered: Dirichlet–Neumann, Neumann–Dirichlet and Dirichlet–Dirichlet. The results are based on the homotopy version of Krasnosel’skiĭ’s fixed point theorem and Harnack type inequalities, first established for each one of the boundary conditions. As a consequence, the problem of multiple solutions is solved in a natural way. Numerical experiments confirming the theory, one for each of the three sets of boundary conditions, are performed by using the MATLAB object-oriented package Chebfun.
PB University of Szeged
SN 1417-3875
YR 2022
FD 2022
LK https://hdl.handle.net/10347/44601
UL https://hdl.handle.net/10347/44601
LA eng
NO Rodríguez-López, J., Precup, R., Gheorgjiu, C. (2022). On the localization and numerical computation of positive radial solutions for ϕ -Laplace equations in the annulus. "Electronic Journal of Qualitative Theory of Differential Equations", 47, 1-22
NO Institute of Advanced Studies in Science and Technology of Babes,–Bolyai University of Cluj-Napoca (Romania)
NO Xunta de Galicia
DS Minerva
RD 28 abr 2026