Shirsho Mukherjee

Ph.D. student @ Jyväskylän Yliopisto (JYU)

since 1/11/2014 for 3 years.

under the supervision of Prof. Xiao Zhong

Ph.D. Thesis

PhD Thesis public defence “Regularity of Quasilinear Elliptic Equations on the Heisenberg Group” on


My main goal is to prove the Holder regularity of the horizontal gradient for the p-laplace type equations in the Heisenberg Group for all p> 1. We, also plan to generalize the result for more general elliptic operator in this setting. There are even scopes of obtaining results of boundary regularity for these problems, and perhaps improve the settings to general Carnot groups as well. I sincerely hope that my research would yield to substantial contributory improvement in the areas related to analysis on Carnot Groups and Subriemannian manifolds, amongst research works that all MANET fellows have undertaken.

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