Abstract
We have investigated the behaviour of strong solutions to the degenerate oblique derivative problem for linear second-order elliptic equation in a neighborhood of a conical boundary point of an n-dimensional bounded domain (n≥2).
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References
M. Bodzioch, Oblique derivative problem for linear second-order elliptic equations with the degeneration in a 3-dimensional bounded domain with the boundary conical point. Electron. J. Differ. Equ. 2012(228), 1–28 (2012)
M. Bodzioch, M. Borsuk, On the degenerate oblique derivative problem for elliptic second-order equations in a domain with boundary conical point. Complex Var. Elliptic Equ. (2014). doi:10.1080/17476933.2012.718339
M. Borsuk, On the degenerate oblique derivative problem for elliptic equations in a plane domain with boundary corner point. J. Differ. Equ. 254, 1601–1625 (2013)
M. Borsuk, V. Kondratiev, Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains. North-Holland Mathematical Library, vol. 6 (Elsevier, Amsterdam, 2006)
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Bodzioch, M., Borsuk, M. (2015). The Degenerate Second-Order Elliptic Oblique Derivative Problem in a Domain with a Conical Boundary Point. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_3
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DOI: https://doi.org/10.1007/978-3-319-12577-0_3
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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