Existence of infinitely many continua of radial singular polytropes with gain- loss function

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
Victor Padrón, Universidad de Los Andes - Venezuela

Document Type

Article

Publication Date

2015

Comments

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.

Recommended Citation

(With V. Padron) “Existence of infinitely many continua of radial singular polytropes with gain- loss function", Contributions to nonlinear elliptic equations and systems, 77-86, Progr. Nonlinear Differential Equations Appl., 86, Birkhauser/Springer, (2015).