M. M. Mishra

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20132024

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math.AP2021

A Neumann type problem on an unbounded domain in the Heisenberg group

Ashutosh Pandey, Mukund Madhav Mishra, Shivani Dubey

We discuss the wellposedness of the Neumann problem on a half-space for the Kohn-Laplacian in the Heisenberg group. We then construct the Neumann function and explicitly represent…

math.AP2015

Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group $H_{n}$

S. Dubey, A. Kumar, M. M. Mishra

We study the polyharmonic Neumann and mixed boundary value problems on the Korányi ball in the Heisenberg group $\H_n$. Necessary and sufficient solvability conditions are obtained…

math.AP2014

Neumann boundary value problem in domains of the Heisenberg Group $H_{n}$

S. Dubey, A. Kumar, M. M. Mishra

Existence and uniqueness of the solution of the Neumann problem for the Kohn-Laplacian on the Korányi ball of the Heisenberg group $H_{n}$ are discussed. Explicit representa…

math.AP2013

Green's function for certain domains in the Heisenberg Group $H_{n}$

Shivani Dubey, Ajay Kumar, Mukund Madhav Mishra

We obtain explicit smooth Green's functions for annular domain and infinite strip by using kelvin $R$ -transform in the Heisenberg group $\H_n$.

A Neumann type problem on an unbounded domain in the Heisenberg group

Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group Hn​

Neumann boundary value problem in domains of the Heisenberg Group Hn​

Green's function for certain domains in the Heisenberg Group Hn​

Polyharmonic polynomials and mixed boundary value problems in the Heisenberg group $H_{n}$

Neumann boundary value problem in domains of the Heisenberg Group $H_{n}$

Green's function for certain domains in the Heisenberg Group $H_{n}$