@Article{CMR-27-2,
author = {Wang, Lusheng and Zejia, Wang},
title = {Critical Exponents for Fast Diffusion Equations with Nonlinear Boundary Sources},
journal = {Communications in Mathematical Research },
year = {2011},
volume = {27},
number = {2},
pages = {97--104},
abstract = {<p style="text-align: justify;">In this paper, we study the large time behavior of solutions to a class
of fast diffusion equations with nonlinear boundary sources on the exterior domain
of the unit ball. We are interested in the critical global exponent $q_0$ and the critical
Fujita exponent $q_c$ for the problem considered, and show that $q_0 = q_c$ for the multi-dimensional Non-Newtonian polytropic filtration equation with nonlinear boundary
sources, which is quite different from the known results that $q_0 &lt; q_c$ for the one-dimensional case; moreover, the value is different from the slow case.</p>},
issn = {2707-8523},
doi = {https://doi.org/2011-CMR-19092},
url = {https://global-sci.com/article/81860/critical-exponents-for-fast-diffusion-equations-with-nonlinear-boundary-sources}
}