Abstract
The paper deals with existence, localization and multiplicity of radial positive solutions in the annulus or the ball, for the Neumann problem involving a general φ-Laplace operator. Our results apply in particular to the classical Laplacian and to the mean curvature operators in the Euclidean and Minkowski spaces. Numerical experiments with the MATLAB object-oriented package Chebfun are performed to obtain numerical solutions for some concrete equations.
Authors
Radu Precup
Institute of Advanced Studies in Science and Technology, Babeş-Bolyai, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Călin-Ioan Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Keywords
Neumann boundary value problem; φ-Laplace operator; Radial solution; Positive solution; Fixed point index; Harnack type inequality; Numerical solution
Paper coordinates
R. Precup, C.-I. Gheorghiu, Theory and computation of radial solutions for Neumann problems with φ-Laplacian, Qualitative Theory of Dynamical Systems, 23 (, art. no. 107, https://doi.org/10.1007/s12346-024-00963-8
About this paper
Journal
Qualitative Theory of Dynamical Systems
Publisher Name
Springer International Publishing
Print ISSN
Online ISSN
1575-5460
google scholar link
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