Higher differentiability for the fractional -Laplacian
In this work, we study the higher differentiability of solutions to the inhomogeneous fractional
$ p $-Laplace equation under different regularity assumptions on the data. In the …
$ p $-Laplace equation under different regularity assumptions on the data. In the …
Gradient estimates for parabolic nonlinear nonlocal equations
The primary objective of this work is to establish pointwise gradient estimates for solutions to
a class of parabolic nonlinear nonlocal measure data problems, expressed in terms of …
a class of parabolic nonlinear nonlocal measure data problems, expressed in terms of …
Pointwise and Oscillation Estimates via Riesz Potentials for Mixed Local and Nonlocal Parabolic Equations
L Ma, Q Xiong, Z Zhang - arXiv preprint arXiv:2407.07600, 2024 - arxiv.org
We establish a class of pointwise estimates for weak solutions to mixed local and nonlocal
parabolic equations involving measure data and merely measurable coefficients via caloric …
parabolic equations involving measure data and merely measurable coefficients via caloric …