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Theory and Computation of Radial Solutions for Neumann Problems with \(\phi \)-Laplacian

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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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Authors and Affiliations

  1. Institute of Advanced Studies in Science and Technology, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Radu Precup

  2. Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, P.O. Box 68-1, 400110, Cluj-Napoca, Romania

    Radu Precup & Călin-Ioan Gheorghiu

Authors
  1. Radu Precup
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  2. Călin-Ioan Gheorghiu
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Contributions

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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Correspondence to Radu Precup.

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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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