The $ p $-Laplace equation is the main prototype for nonlinear elliptic problems and forms a
basis for various applications, such as injection moulding of plastics, nonlinear elasticity …

Gradient Regularity for a Class of Widely Degenerate Parabolic Systems | SIAM Journal on
Mathematical Analysis Skip to main content logo Brought to you byGoogle Inc Search Search …

Abstract Let (X, d, μ) be a doubling metric measure space endowed with a Dirichlet form E
deriving from a “carré du champ”. Assume that (X, d, μ, E) supports a scale-invariant L 2 …

We give dimension-free regularity conditions for a class of possibly degenerate sub-elliptic
equations in the Heisenberg group exhibiting super-quadratic growth in the horizontal …

In this paper, we consider minimizers of integral functionals of the type F (u):=∫ Ω [1 p (| D u|-
1)+ p+ f· u] dx for p> 1 in the vectorial case of mappings u: R n⊃ Ω→ RN with N≥ 1 …

Gradient Hölder regularity for degenerate parabolic systems - ScienceDirect Skip to main
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In this paper we aim to show continuous differentiability of weak solutions to a one-Laplace
system perturbed by p-Laplacian with 1< p<∞. The main difficulty on this equation is that …

In this paper we consider a very singular elliptic equation that involves an anisotropic
diffusion operator, including the one-Laplacian, and is perturbed by ap-Laplacian-type …

In the Euclidean setting, the Fujii–Wilson-type A_ ∞ A∞ weights satisfy a reverse Hölder
inequality (RHI), but in spaces of homogeneous type the best-known result has been that A …

In this article, we consider minimizers of integral functionals of the type F (u)=∫ Ω a (x) p (| D
u|− 1)+ pdx with a bounded domain Ω⊂ R n (n≥ 2), a growth exponent p≥ 2 and Lipschitz …