Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point
Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 369-411
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We investigate the behavior of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighborhood of a boundary corner point. We find an exponent of the solution's decreasing rate under minimal assumptions on the problem coefficients.
DOI :
10.4064/am38-4-1
Keywords:
investigate behavior weak solutions nonlocal robin problem linear elliptic divergence second order equations neighborhood boundary corner point exponent solutions decreasing rate under minimal assumptions problem coefficients
Affiliations des auteurs :
Mikhail Borsuk 1 ; Krzysztof Żyjewski 1
@article{10_4064_am38_4_1,
author = {Mikhail Borsuk and Krzysztof \.Zyjewski},
title = {Nonlocal {Robin} problem for elliptic second order equations in a plane domain with a boundary corner point},
journal = {Applicationes Mathematicae},
pages = {369--411},
year = {2011},
volume = {38},
number = {4},
doi = {10.4064/am38-4-1},
zbl = {1232.35041},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am38-4-1/}
}
TY - JOUR AU - Mikhail Borsuk AU - Krzysztof Żyjewski TI - Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point JO - Applicationes Mathematicae PY - 2011 SP - 369 EP - 411 VL - 38 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4064/am38-4-1/ DO - 10.4064/am38-4-1 LA - en ID - 10_4064_am38_4_1 ER -
%0 Journal Article %A Mikhail Borsuk %A Krzysztof Żyjewski %T Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point %J Applicationes Mathematicae %D 2011 %P 369-411 %V 38 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4064/am38-4-1/ %R 10.4064/am38-4-1 %G en %F 10_4064_am38_4_1
Mikhail Borsuk; Krzysztof Żyjewski. Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point. Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 369-411. doi: 10.4064/am38-4-1
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