On a family of torsional creep problems in Finsler metrics
Canadian journal of mathematics, Tome 74 (2022) no. 1, pp. 24-41
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The asymptotic behavior of solutions to a family of Dirichlet boundary value problems, involving differential operators in divergence form, on a domain equipped with a Finsler metric is investigated. Solutions are shown to converge uniformly to the distance function to the boundary of the domain, which takes into account the Finsler norm involved in the equation. This implies that a well-known result in the analysis of problems modeling torsional creep continues to hold in this more general setting.
Mots-clés :
Finsler norm, torsional creep, weak solution, distance function
Fărcăşeanu, Maria; Mihăilescu, Mihai; Stancu-Dumitru, Denisa. On a family of torsional creep problems in Finsler metrics. Canadian journal of mathematics, Tome 74 (2022) no. 1, pp. 24-41. doi: 10.4153/S0008414X20000681
@article{10_4153_S0008414X20000681,
author = {F\u{a}rc\u{a}\c{s}eanu, Maria and Mih\u{a}ilescu, Mihai and Stancu-Dumitru, Denisa},
title = {On a family of torsional creep problems in {Finsler} metrics},
journal = {Canadian journal of mathematics},
pages = {24--41},
year = {2022},
volume = {74},
number = {1},
doi = {10.4153/S0008414X20000681},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000681/}
}
TY - JOUR AU - Fărcăşeanu, Maria AU - Mihăilescu, Mihai AU - Stancu-Dumitru, Denisa TI - On a family of torsional creep problems in Finsler metrics JO - Canadian journal of mathematics PY - 2022 SP - 24 EP - 41 VL - 74 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000681/ DO - 10.4153/S0008414X20000681 ID - 10_4153_S0008414X20000681 ER -
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