In this article we prove a Harnack inequality for non-negative weak solutions to doubly
nonlinear parabolic equations of the form∂ tu-div A (x, t, u, D um)= div F, where the vector …

This paper is devoted to the Cauchy problem for a class of doubly degenerate parabolic
equation with time‐dependent gradient source, where the initial data are Radon measures …

We consider non-negative weak super-solutions u: Ω T→ R≥ 0 to the doubly non-linear
equation∂ t (| u| q− 1 u)− div A (x, t, u, D u)= 0 in Ω T= Ω×(0, T], where Ω is an bounded open …

In this paper, we consider anisotropic parabolic equations with variable exponents. The
existence of weak solution is proved by means of the parabolically regularized method, and …

This paper investigates an anisotropic diffusion equation with degeneracy on the boundary.
A new kind of weak solution is introduced, and the existence of the nonnegative solution is …

This paper considers an anisotropic polytropic infiltration equation with a source term $$
u_t={\sum\limits_ {i= 1}^{N}}{\frac {{\partial}}{{\partial} x_i}}\(a_1 (x){\mid} u {\mid}^{{\alpha} …

Finite propagation speed for Leibenson’s equation on Riemannian manifolds Page 1 Finite
propagation speed for Leibenson’s equation on Riemannian manifolds Alexander Grigor’yan …

We consider on arbitrary Riemannian manifolds the Leibenson equation∂ tu= Δpuq. This
equation is also known as doubly nonlinear evolution equation, and it comes from …

The well-posedness of weak solutions to a double degenerate evolutionary p (x) p(x)-
Laplacian equation ut= div (b (x, t)|∇ A (u)| p (x)− 2∇ A (u)), u_ t= div\bigl (b (x, t)\bigl | ∇ A …

We study the existence of weak solutions to a Newtonian fluid∼ non-Newtonian fluid mixed-
type equation ut= div (b (x, t)|∇ A (u)| p (x)− 2∇ A (u)+ α (x, t)∇ A (u))+ f (u, x, t). u_ t= div\bigl …