Gradient regularity and first-order potential estimates for a class of nonlocal equations
We consider nonlocal equations of order larger than one with measure data and prove
gradient regularity in Sobolev and H\" older spaces as well as pointwise bounds of the …
gradient regularity in Sobolev and H\" older spaces as well as pointwise bounds of the …
Optimal boundary regularity and Green function estimates for nonlocal equations in divergence form
In this article we prove for the first time the $ C^ s $ boundary regularity for solutions to
nonlocal elliptic equations with H\" older continuous coefficients in divergence form in …
nonlocal elliptic equations with H\" older continuous coefficients in divergence form in …
[HTML][HTML] Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
M Bonforte, J Endal - Journal of Functional Analysis, 2023 - Elsevier
We establish boundedness estimates for solutions of generalized porous medium equations
of the form∂ t u+(− L)[um]= 0 in RN×(0, T), where m≥ 1 and− L is a linear, symmetric, and …
of the form∂ t u+(− L)[um]= 0 in RN×(0, T), where m≥ 1 and− L is a linear, symmetric, and …