29 citations · 63 across the 8 of their papers we have counts for
8 papers
Brunn-Minkowski Inequality for p-Harmonic Measures
Ariel A. Aguas-Barreno, Murat Akman, Shirsho Mukherjee
We prove a Brunn--Minkowski inequality for a functional associated with p-harmonic measures for , on a class of convex domains satisfying suitable conditions. Under an add…
Comparison principles for degenerate sub-elliptic equations in non-divergence form
Juan J. Manfredi, Shirsho Mukherjee
We prove the comparison principle for viscosity sub/super-solutions of degenerate subelliptic equations in non-divergence form that include the sub-elliptic infinity Laplacian and…
On the Minkowski problem for p-harmonic measures
Murat Akman, Shirsho Mukherjee
We study the Minkowski problem corresponding to the p-harmonic measures and obtain results previously known for harmonic measures due to Jerison. We show that a class of Borel meas…
Regularity of quasi-linear equations with Hörmander vector fields of step two
Giovanna Citti, Shirsho Mukherjee
If the smooth vector fields and their commutators span the tangent space at every point in for any fixed , then we establish the…
Regularity of inhomogeneous Quasi-linear equations on the Heisenberg Group
Shirsho Mukherjee, Yannick Sire
We establish Holder continuity of the horizontal gradient of weak solutions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg Group.
A Variational Characterisation of the Second Eigenvalue of the p-Laplacian on Quasi Open Sets
Nicola Fusco, Shirsho Mukherjee, Yi Ru-Ya Zhang
In this article, we prove a minimax characterization of the second eigenvalue of the p-Laplacian operator on p-quasi-open sets, using a construction based on minimizing movements.…
-Regularity of Quasilinear equations on the Heisenberg Group
Shirsho Mukherjee
In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered ca…
On Local Lipschitz Regularity For Quasilinear equations in the Heisenberg Group
Shirsho Mukherjee
The goal of this article is to establish local Lipschitz continuity of weak solutions for a class of degenerated elliptic equations of divergence form, in the Heisenberg Group. The…