Variational Primitive of a Differential Form


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Abstract

In this paper, a Dirichlet-to-Neumann operator related to the Cauchy problem for the gradient operator with data on a part of the boundary is defined. To this end, a nonlinear relaxation of this problem, which is a mixed boundary problem of Zaremba type for the p-Laplace equation, is considered.

About the authors

Ammar Alsaedy

Department of Mathematics, College of Science

Author for correspondence.
Email: ammar.alsaedy@ymail.com
Iraq, Baghdad

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