When 2−1/Qp≤2, we establish the Cloc0,1 and Cloc1,α-regularities of weak solutions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg group Hn, where Q=2n+2 is the homogeneous dimension of Hn
We study the interior regularity of weak solutions to subelliptic quasilinear PDEs in Carnot groups...
The thesis is organized as follows. In chapter 1, we set up a higher integrability result for the ho...
We consider quasilinear equations$$\sum\limits\sbsp{i=1}{m}X\sb{i}A\sb{i}(p, Xu)=f(p)$$with quadrati...
We extend to the parabolic setting some of the ideas originated with Xiao Zhong's proof in [31] of t...
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg gr...
summary:We prove the Hölder continuity of the homogeneous gradient of the weak solutions $u\in W_{\o...
In this thesis we first implement iteration methods for fractional difference quotients of weak solu...
AbstractWe give dimension-free regularity conditions for a class of possibly degenerate sub-elliptic...
We study the Hölder continuity of the homogeneous gradient of the weak solutions of double obstacle ...
Abstract. We give dimension-free regularity conditions for a class of possibly de-generate sub-ellip...
We prove local Lipschitz regularity for weak solutions to a class of degenerate parabolic PDEs model...
In this note we address the question of uniqueness of the Brezis-Oswald problem for the p-Laplacia...
summary:We study regularity results for solutions $u\in H W^{1,p}(\Omega )$ to the obstacle problem ...
We deal with a wide class of generalized nonlocal $p$-Laplace equations, so-called nonlocal $G$-Lapl...
Abstract. Consider the wave equation associated with the Kohn Lapla-cian on groups of Heisenberg typ...
We study the interior regularity of weak solutions to subelliptic quasilinear PDEs in Carnot groups...
The thesis is organized as follows. In chapter 1, we set up a higher integrability result for the ho...
We consider quasilinear equations$$\sum\limits\sbsp{i=1}{m}X\sb{i}A\sb{i}(p, Xu)=f(p)$$with quadrati...
We extend to the parabolic setting some of the ideas originated with Xiao Zhong's proof in [31] of t...
This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg gr...
summary:We prove the Hölder continuity of the homogeneous gradient of the weak solutions $u\in W_{\o...
In this thesis we first implement iteration methods for fractional difference quotients of weak solu...
AbstractWe give dimension-free regularity conditions for a class of possibly degenerate sub-elliptic...
We study the Hölder continuity of the homogeneous gradient of the weak solutions of double obstacle ...
Abstract. We give dimension-free regularity conditions for a class of possibly de-generate sub-ellip...
We prove local Lipschitz regularity for weak solutions to a class of degenerate parabolic PDEs model...
In this note we address the question of uniqueness of the Brezis-Oswald problem for the p-Laplacia...
summary:We study regularity results for solutions $u\in H W^{1,p}(\Omega )$ to the obstacle problem ...
We deal with a wide class of generalized nonlocal $p$-Laplace equations, so-called nonlocal $G$-Lapl...
Abstract. Consider the wave equation associated with the Kohn Lapla-cian on groups of Heisenberg typ...
We study the interior regularity of weak solutions to subelliptic quasilinear PDEs in Carnot groups...
The thesis is organized as follows. In chapter 1, we set up a higher integrability result for the ho...
We consider quasilinear equations$$\sum\limits\sbsp{i=1}{m}X\sb{i}A\sb{i}(p, Xu)=f(p)$$with quadrati...
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