TY - JOUR
T1 - Critical Exponents for Fast Diffusion Equations with Nonlinear Boundary Sources
AU - Wang , Lusheng
AU - Wang , Zejia
JO - Communications in Mathematical Research 
VL - 2
SP - 97
EP - 104
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19092.html
KW - exterior domain, critical global exponent, critical Fujita exponent, fast
diffusion equation.
AB - <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>