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 \(\phi \)-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.
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R.P. wrote the main part of the theory; C.I.G. wrote the numerical part and prepared all figures; Both authors wrote the introduction and contributed to editing.
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Precup, R., Gheorghiu, CI. Theory and Computation of Radial Solutions for Neumann Problems with \(\phi \)-Laplacian. Qual. Theory Dyn. Syst. 23, 107 (2024). https://doi.org/10.1007/s12346-024-00963-8
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DOI: https://doi.org/10.1007/s12346-024-00963-8
Keywords
- Neumann boundary value problem
- \(\phi \)-Laplace operator
- Radial solution
- Positive solution
- Fixed point index
- Harnack type inequality
- Numerical solution