2 citations · 2 across the 10 of their papers we have counts for
11 papers
On the Local boundedness and higher integrability for the subcritical doubly nonlinear parabolic systems
Qifan Li
We consider the inhomogeneous doubly nonlinear parabolic systems of the form \begin{equation*}\partial_t (|u|^{q-1}u)-\operatorname{div}(|Du|^{p-2}Du)=\operatorname{div}(|F|^{p-2}F…
Hölder regularity of weak solutions to nonlocal doubly degenerate parabolic equations
Qifan Li
We study local regularity for nonlocal doubly degenerate parabolic equations. The model equation is \begin{equation*}\begin{split} \partial_t(|u|^{q-1}u)+\mathrm{P}.\mathrm{V}.\int…
Continuity estimates for degenerate parabolic double-phase equations via nonlinear potentials
Qifan Li
In this article, we study regularity properties for degenerate parabolic double-phase equations. We establish continuity estimates for bounded weak solutions in terms of elliptic R…
Continuity estimates for doubly degenerate parabolic equations with lower order terms via nonlinear potentials
Qifan Li
This article studies the continuity of bounded nonnegative weak solutions to inhomogeneous doubly nonlinear parabolic equations. A model equation is \begin{equation*}\partial_t u-\…
Partial regularity for degenerate parabolic systems with non-standard growth and discontinuous coefficients
Qifan Li
This article studies the partial Hölder continuity of weak solutions to certain degenerate parabolic systems whose model is the differentiable parabolic -Laplacian system,…
Higher integrability for obstacle problem related to the singular porous medium equation
Qifan Li
This paper is concerned with the self-improving property for obstacle problem related to the singular porous medium equation. We establish a local higher integrability result for t…
On the continuity of solutions to doubly singular parabolic equations
Qifan Li
This paper considers a certain doubly singular parabolic equations with one singularity occurs in the time derivative, whose model is \begin{equation*} \partial_tβ(u)-\operatorname…
Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations
Qifan Li
We establish weak Harnack inequalities for positive, weak supersolutions to certain doubly degenerate parabolic equations. The prototype of this kind of equations is $$\partial_tu-…
Very weak solutions of subquadratic parabolic systems with non-standard -growth
Qifan Li
The aim of this paper is to establish a higher integrability result for very weak solutions of certain parabolic systems whose model is the parabolic -Laplacian system. Und…
A Bourgain type bilinear estimate for a class of water-wave models
Qifan Li
The bilinear estimtate in proposition 7.15 [J. Bourgain, Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Parts II, Geom…
Littlewood-Paley characterization for spaces
Qifan Li
In Baraka's paper [2], he obtained the Littlewood-Paley characterization of Campanato spaces and introduced spaces. He showed that $\mathcal {L}^{2…