Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain

Krzysztof Żyjewski. "Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain." Commentationes Mathematicae 57.1 (2017): null. <http://eudml.org/doc/292389>.

@article{KrzysztofŻyjewski2017,
abstract = {We investigate the behaviour of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighbourhood of the boundary corner point. We find the exponent of the solution decreasing rate under the assumption that the leading coefficients of the equations do not satisfy the Dini-continuity condition.},
author = {Krzysztof Żyjewski},
journal = {Commentationes Mathematicae},
keywords = {boundary value problems; weak solutions; second order elliptic linear equations; nonlocal Robin problem; corner points; Dini-continuity},
language = {eng},
number = {1},
pages = {null},
title = {Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain},
url = {http://eudml.org/doc/292389},
volume = {57},
year = {2017},
}

TY - JOUR
AU - Krzysztof Żyjewski
TI - Asymptotic of weak solutions for linear elliptic nonlocal Robin problem without Dini-continuity condition in a plane angle domain
JO - Commentationes Mathematicae
PY - 2017
VL - 57
IS - 1
SP - null
AB - We investigate the behaviour of weak solutions to the nonlocal Robin problem for linear elliptic divergence second order equations in a neighbourhood of the boundary corner point. We find the exponent of the solution decreasing rate under the assumption that the leading coefficients of the equations do not satisfy the Dini-continuity condition.
LA - eng
KW - boundary value problems; weak solutions; second order elliptic linear equations; nonlocal Robin problem; corner points; Dini-continuity
UR - http://eudml.org/doc/292389
ER -