Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point

Mikhail Borsuk, and Krzysztof Żyjewski. "Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point." Applicationes Mathematicae 38.4 (2011): 369-411. <http://eudml.org/doc/279959>.

@article{MikhailBorsuk2011,
abstract = {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.},
author = {Mikhail Borsuk, Krzysztof Żyjewski},
journal = {Applicationes Mathematicae},
keywords = {elliptic equations; nonlocal Robin problem; corner points domain},
language = {eng},
number = {4},
pages = {369-411},
title = {Nonlocal Robin problem for elliptic second order equations in a plane domain with a boundary corner point},
url = {http://eudml.org/doc/279959},
volume = {38},
year = {2011},
}

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
VL - 38
IS - 4
SP - 369
EP - 411
AB - 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.
LA - eng
KW - elliptic equations; nonlocal Robin problem; corner points domain
UR - http://eudml.org/doc/279959
ER -