TY  - INPR
A1  - Makhmudov, Olimdjan
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - An extremal problem related to analytic continuation
N2  - We show that the usual variational formulation of the problem of analytic continuation from an arc on the boundary of a plane domain does not lead to a relaxation of this overdetermined problem. To attain such a relaxation, we bound the domain of the functional, thus changing the Euler equations.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 2 (2013) 4 
KW  - Extremal problem
KW  - Euler equations
KW  - p-Laplace operator
KW  - mixed problems
Y1  - 2013
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-63634
ER  - 
TY  - INPR
A1  - Alsaedy, Ammar
T1  - Variational primitive of a differential form
N2  - In this paper we specify the Dirichlet to Neumann operator related to the Cauchy problem for the gradient operator with data on a part of the boundary. To this end, we consider a nonlinear relaxation of this problem which is a mixed boundary problem of Zaremba type for the p-Laplace equation.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 5 (2016) 4 
KW  - Dirichlet-to-Neumann operator
KW  - Cauchy problem
KW  - p-Laplace operator
KW  - calculus of variations
Y1  - 2016
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-89223
SN  - 2193-6943
VL  - 5
IS  - 4
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  -