We establish some C 0, α and C 1, α regularity estimates for a class of weighted parabolic
problems in divergence form. The main novelty is that the weights may vanish or explode on …

In this paper, we study degenerate or singular elliptic equations in divergence form-div (xn α
A∇ u)= div (xn α g) in B 1∩{xn> 0}. When α>-1, we establish boundary Schauder type …

In this paper, we investigate the Dirichlet problem on lower dimensional manifolds for a
class of weighted elliptic equations with coefficients that are singular on such sets …

Aim of this paper is to provide higher order boundary Harnack principles (De Silva and
Savin, 2015 [13]) for elliptic equations in divergence form under Dini type regularity …

We study elliptic and parabolic problems governed by the singular elliptic operators
$$\mathcal L= y^{\alpha_1}\mbox {Tr}\left (QD^ 2_x\right)+ 2y^{\frac {\alpha_1+\alpha_2}{2}} …

We establish a C 1, α Schauder estimate of a non-standard degenerate elliptic equation and
use it to give another proof of the higher order boundary Harnack inequality. As an …

We consider weighted p-Laplace type equations with homogeneous Neumann boundary
conditions in convex domains, where the weight is a log-concave function which may …

We prove $\textit {a priori} $ and $\textit {a posteriori} $ H\" older bounds and Schauder $
C^{1,\alpha} $ estimates for continuous solutions to singular/degenerate equations with …

arxiv:2305.05034v1 [math.AP] 8 May 2023 Page 1 arxiv:2305.05034v1 [math.AP] 8 May 2023
Hardy type inequalities with mixed weights in cones Gabriele Cora∗, Roberta Musina† …

We prove the first regularity theorem for the free boundary of solutions to shape optimization
problems involving integral functionals, for which the energy of a domain Ω is obtained as …