We investigate the behaviour of weak solutions of boundary value problems (Dirichlet, Neumann, Robin and mixed) for linear elliptic divergence second order equations in domains extending to infinity along a cone. We find an exponent of the solution decreasing rate: we derive the estimate of the weak solution modulus for our problems near the infinity under assumption that leading coefficients of the equations do not satisfy the Dini-continuity condition.
@article{bwmeta1.element.doi-10_1515_amsil-2016-0009,
author = {Damian Wi\'sniewski},
title = {The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains},
journal = {Annales Mathematicae Silesianae},
volume = {30},
year = {2016},
pages = {203-217},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0009}
}
Damian Wiśniewski. The Behaviour of Weak Solutions of Boundary Value Problems for Linear Elliptic Second Order Equations in Unbounded Cone-Like Domains. Annales Mathematicae Silesianae, Tome 30 (2016) pp. 203-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0009/