Jingxue Yin

TL;DR: In this paper, the critical extinction and blow-up exponents for the Dirichlet boundary value problem of the fast diffusive p-Laplacian with sources were determined.

TL;DR: The critical global existence exponent and critical Fujita exponent are obtained by constructing various self-similar supersolutions and subsolutions of the non-Newtonian polytropic filtration equation with nonlinear boundary conditions.

TL;DR: In this paper, the homogeneous Dirichlet boundary value problem of a polytropic filtration equation with reaction sources was studied and the non-extinction property of non-trivial solutions and the critical Fujita exponent for the problem was determined.

TL;DR: In this paper, the existence of non-trivial periodic solutions for a periodic p -Laplacian with nonlocal terms based on the theory of Leray-Schauder degree was studied.

TL;DR: In this article, the critical exponents and non-extinction property for a nonlinear boundary value problem of a fast diffusive polytropic filtration equation were discussed.