Výsledky vyhledávání - "Mikhail Borsuk"

Akademický článek

The Dirichlet problem in an unbounded cone-like domain for second order elliptic quasilinear equations with variable nonlinearity exponent

Autor: Mikhail Borsuk, Damian Wiśniewski

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 33, Pp 1-20 (2023)

In this paper we consider the Dirichlet problem for quasi-linear second-order elliptic equation with the $m(x)$-Laplacian and the strong nonlinearity on the right side in an unbounded cone-like domain. We study the behavior of weak solutions to the p

Externí odkaz: https://doaj.org/article/e4b77c1a93644e2689dc1e024abfd1eb

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Akademický článek

Transmission Robin problem for singular $p(x)$-Laplacian equation in a cone

Autor: Mikhail Borsuk

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 93, Pp 1-17 (2019)

We study the behavior near the boundary angular or conical point of weak solutions to the transmission Robin problem for an elliptic quasi-linear second-order equation with the variable $p(x)$-Laplacian.

Externí odkaz: https://doaj.org/article/2fd7330b3a1e4492b9270322e870b6c7

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Akademický článek

Existence of bounded weak solutions of the Robin problem for a quasi-linear elliptic equation with p(x)-Laplacian

Autor: Mikhail Borsuk

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 16, Pp 1-11 (2019)

We prove the existence of bounded weak solutions to the Robin problem for an elliptic quasi-linear second-order equation with the variable $p(x)$-Laplacian.

Externí odkaz: https://doaj.org/article/df7045eea60b4f8aaa25eaa0273a783a

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Akademický článek

The Robin problem for singular $p(x)$-Laplacian equation in a cone

Autor: Mikhail Borsuk

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2018, Iss 93, Pp 1-14 (2018)

We study the behavior near the boundary angular or conical point of weak solutions to the Robin problem for an elliptic quasi-linear second-order equation with the variable $p(x)$-Laplacian.

Externí odkaz: https://doaj.org/article/576856604b70489b9b393ffa2cb1ced7

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Akademický článek

Oblique derivative problem for elliptic second-order semi-linear equations in a domain with a conical boundary point

Autor: Mariusz Bodzioch, Mikhail Borsuk

Publikováno v: Electronic Journal of Differential Equations, Vol 2018, Iss 69,, Pp 1-20 (2018)

This article concerns the oblique boundary value problem for elliptic semi-linear equations in a domain with a conical point on the boundary. We investigate the asymptotic behavior of strong solutions near a boundary conical point. New regularity

Externí odkaz: https://doaj.org/article/8745b627ea2743aab222aeb0c23e3445

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Akademický článek

L-infinity-estimate for the Robin problem of a singular variable p-Laplacian equation in a conical domain

Autor: Mikhail Borsuk

Publikováno v: Electronic Journal of Differential Equations, Vol 2018, Iss 49,, Pp 1-9 (2018)

We establish a bound for the modulus of the weak bounded solution to the Robin problem for an elliptic quasi-linear second-order equation with the variable p(x)-Laplacian.

Externí odkaz: https://doaj.org/article/ad811aaab9334df182563ac4a4e0b937

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