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Original Articles

Polyharmonic Neumann and mixed boundary value problems in the Heisenberg group

, &
Pages 1506-1518 | Received 14 Jun 2016, Accepted 23 Dec 2016, Published online: 09 Feb 2017
 

Abstract

We study the polyharmonic Neumann and mixed boundary value problems on the Korányi ball in the Heisenberg group . Necessary and sufficient solvability conditions are obtained for the nonhomogeneous polyharmonic Neumann problem and Neumann–Dirichlet boundary value problems.

AMS Subject Classifications:

Acknowledgements

The authors would like to thank referees and Editors for many valuable suggestions which helped in improving exposition.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The first author is supported by the Senior Research Fellowship of Council of Scientific and Industrial Research, India [grant number 09/045(1152)/2012-EMR-I]; the second author is supported by R&D grant from University of Delhi, Delhi, India.

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