Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 167-181
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A. I. Nazarov. About “one-dimensionality” of the extremal in the Poincare inequality in the square. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 30, Tome 259 (1999), pp. 167-181. http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a7/
@article{ZNSL_1999_259_a7,
author = {A. I. Nazarov},
title = {About {\textquotedblleft}one-dimensionality{\textquotedblright} of the extremal in the {Poincare} inequality in the square},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {167--181},
year = {1999},
volume = {259},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a7/}
}
TY - JOUR
AU - A. I. Nazarov
TI - About “one-dimensionality” of the extremal in the Poincare inequality in the square
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 167
EP - 181
VL - 259
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a7/
LA - ru
ID - ZNSL_1999_259_a7
ER -
%0 Journal Article
%A A. I. Nazarov
%T About “one-dimensionality” of the extremal in the Poincare inequality in the square
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 167-181
%V 259
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_259_a7/
%G ru
%F ZNSL_1999_259_a7
Conditions of local extremality and nonextremality of “one-dimensional” functions for the functional induced by Poincaré inequality in the square and in the rectangle are obtained.
