Abstract
We establish the existence of a multi-parameter family of radial singular polytropes (solutions to an elliptic boundary value problem modeling a thermal structure, such as plasma) in the presence of heat diffusion, and generation-radiation. We prove that such branches of solutions exist for heat generation exponents ranging between the Serrin exponent and the Sobolev exponent.
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Acknowledgements
This work was partially supported by a grant from the Simons Foundations # 245966 to Alfonso Castro.
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Castro, A., Padrón, V. (2015). Existence of infinitely many continua of radial singular polytropes with gain-loss function. In: Nolasco de Carvalho, A., Ruf, B., Moreira dos Santos, E., Gossez, JP., Monari Soares, S., Cazenave, T. (eds) Contributions to Nonlinear Elliptic Equations and Systems. Progress in Nonlinear Differential Equations and Their Applications, vol 86. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-19902-3_6
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DOI: https://doi.org/10.1007/978-3-319-19902-3_6
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-19901-6
Online ISBN: 978-3-319-19902-3
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