Buchumschlag

On the solvability of the dirichlet problem for elliptic nondivergent equations of the second order in a domain with conical point

We study the problem of solvability of the Dirichlet problem for second-order linear and quasilinear uniformly elliptic equations in a bounded domain whose boundary contains a conical point. We prove new theorems on the unique solvability of a linear problem under minimal smoothness conditions for t...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	1996
Hauptverfasser:	Borsuk, M. V., Борсук, М. В.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 1996
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/5358
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Estimates of generalized solutions of the Dirichlet problem for quasilinear elliptic equations of the second order in a domain with conical boundary point
von: Borsuk, M. V., et al.
Veröffentlicht: (1998)

The transmission problem for quasi-linear elliptic second order equations in a conical domain
von: Borsuk, M.
Veröffentlicht: (2007)

Behaviour of solutions of the Dirichlet problem for quasilinear elliptical equations of the second order of a general kind near angular point
von: Borsuk , M. V., et al.
Veröffentlicht: (1992)

On the behavior of solutions of the Dirichlet problem for a class of degenerate elliptic equations in the neighborhood of conical boundary points
von: Borsuk, M.V., et al.
Veröffentlicht: (1999)

On the Dirichlet problem for a quasilinear elliptic second order equation with triple degeneracy and singularity in a domain with edge on the boundary
von: Borsuk, M., et al.
Veröffentlicht: (2000)

On removable sets of solutions of second-order elliptic and parabolic equations in nondivergent form
von: Gadjiev, T. S., et al.
Veröffentlicht: (2009)

Exact estimates of solutions to the robin boundary value problem for linear elliptic non divergence second order equations in a neighborhood of the conical point
von: Borsuk, M., et al.
Veröffentlicht: (2004)

Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data
von: Kovalevsky, A.A., et al.
Veröffentlicht: (2013)

Boundary value problems for singular p- and p(x)- Laplacian equations in a domain with conical point on the boundary
von: M. Borsuk
Veröffentlicht: (2020)

Entropy Solutions of the Dirichlet Problem for Some Nonlinear Elliptic Degenerate Second-Order Equations
von: Yu. Gorban, et al.
Veröffentlicht: (2021)

The Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients
von: A. F. Guliyev, et al.
Veröffentlicht: (2014)

Mixed boundary-value problem for linear second-order nondivergent parabolic equations with discontinuous coefficients
von: Guliyev, A.F., et al.
Veröffentlicht: (2014)

Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients
von: Guliyev, A. F., et al.
Veröffentlicht: (2014)

On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis
von: Gorbachuk, V. M., et al.
Veröffentlicht: (1994)

Well-posedness of the Dirichlet problem in a cylindrical domain for three-dimensional elliptic equations with degeneration of type and order
von: S. A. Aldashev, et al.
Veröffentlicht: (2017)

Well-posedness of the Dirichlet problem in a cylindrical domain for three-dimensional elliptic equations with degeneration of type and order
von: Aldashev, S. A., et al.
Veröffentlicht: (2017)

A sharp angle inequalities for pairs of elliptic operators in the case of domain with a conical point
von: Dzhafarov, R.M.
Veröffentlicht: (1999)

Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge
von: Plesha, M. I., et al.
Veröffentlicht: (2001)

On the dirichlet problem for an improperly elliptic equation
von: Burskii, V. P., et al.
Veröffentlicht: (2011)

Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions
von: Aliev, B. A., et al.
Veröffentlicht: (2010)

Limit properties of the solutions of a Dirichlet problem in an elliptic domain
von: Voroshik, N. I., et al.
Veröffentlicht: (1995)

On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
von: Bazalii, B. V., et al.
Veröffentlicht: (2007)

Solvability of the Neumann problem in a disk for the fourth order properly elliptic equations
von: K. O. Buriachenko, et al.
Veröffentlicht: (2014)

Correctness of the Dirichlet problem in a cylindric domain for one class of multidimensional hyperbolic-elliptic equations
von: S. A. Aldashev
Veröffentlicht: (2013)

Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems
von: Kalita, E. A., et al.
Veröffentlicht: (1995)

Smooth Solution of the Dirichlet Problem for a Quasilinear Hyperbolic Equation of the Second Order
von: Mitropolskiy, Yu. A., et al.
Veröffentlicht: (2000)

Dirichlet problem for Poisson equations in Jordan domains
von: V. Gutlyanskii, et al.
Veröffentlicht: (2018)

On Dirichlet problem for Beltrami equations in finitely domains
von: I. Petkov, et al.
Veröffentlicht: (2020)

Dirichlet problem for Poisson equations in Jordan domains
von: Gutlyanskii, V., et al.
Veröffentlicht: (2018)

On theg-convergence of nonlinear elliptic operators related to the dirichlet problem in variable domains
von: Kovalevskii, A. A., et al.
Veröffentlicht: (1993)

On the improvement of summability of generalized solutions of the Dirichlet problem for nonlinear equations of the fourth order with strengthened ellipticity
von: Voitovich, M. V., et al.
Veröffentlicht: (2006)

Solvability of a Three-Point Boundary-Value Problem for a Second-Order Differential Inclusion
von: Vityuk, A. N., et al.
Veröffentlicht: (2003)

Similar operators generated by the nonlocal problems for elliptical second-order equations
von: Baranetsky , Ya. O., et al.
Veröffentlicht: (1992)

Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
von: Chernetskii, V. A., et al.
Veröffentlicht: (1997)

On unique solvability of three-point problem for partial differential equation in a two-dimensional domain
von: P. I. Kaleniuk, et al.
Veröffentlicht: (2017)

On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
von: M. V. Vojtovich
Veröffentlicht: (2015)

Entropy solutions of Dirichlet problem for a class of nonlinear elliptic fourth order equations with L¹-data
von: Kovalevsky, A.A.
Veröffentlicht: (1999)

Energy estimates of bounded solutions of the Dirichlet problem for a class of nonlinear fourth-order elliptic equations
von: Voitovich, M.V.
Veröffentlicht: (2012)

Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data
von: Kovalevsky, A.A.
Veröffentlicht: (2002)

The Dirichlet problem for the Beltrami equations in simply connected domains
von: I. V. Petkov
Veröffentlicht: (2015)