Limit properties of the solutions of a Dirichlet problem in an elliptic domain
We study solutions of a Dirichlet problem in a fixed ellipse and their behavior in the integral metric in the case where interior points approach the boundary of the ellipse.
Saved in:
| Date: | 1995 |
|---|---|
| Main Authors: | Voroshik, N. I., Gorbaichuk, V. I., Ворошик, Н. Й., Горбайчук, В. Й. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1995
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5533 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On solutions of the Dirichlet problem for elliptic systems on a circle
by: Bursky, V. P., et al.
Published: (1992)
by: Bursky, V. P., et al.
Published: (1992)
Estimates of generalized solutions of the Dirichlet problem for quasilinear elliptic equations of the second order in a domain with conical boundary point
by: Borsuk, M. V., et al.
Published: (1998)
by: Borsuk, M. V., et al.
Published: (1998)
On theg-convergence of nonlinear elliptic operators related to the dirichlet problem in variable domains
by: Kovalevskii, A. A., et al.
Published: (1993)
by: Kovalevskii, A. A., et al.
Published: (1993)
Correctness of the Dirichlet problem in a cylindric domain for one class of multidimensional hyperbolic-elliptic equations
by: S. A. Aldashev
Published: (2013)
by: S. A. Aldashev
Published: (2013)
On the solvability of the dirichlet problem for elliptic nondivergent equations of the second order in a domain with conical point
by: Borsuk, M. V., et al.
Published: (1996)
by: Borsuk, M. V., et al.
Published: (1996)
On the dirichlet problem for an improperly elliptic equation
by: Burskii, V. P., et al.
Published: (2011)
by: Burskii, V. P., et al.
Published: (2011)
Pointwise estimate of a solution to quasilinear elliptic problem in the domain with thin cavity
by: Skrypnik, I. V., et al.
Published: (1992)
by: Skrypnik, I. V., et al.
Published: (1992)
Well-posedness of the Dirichlet problem in a cylindrical domain for three-dimensional elliptic equations with degeneration of type and order
by: S. A. Aldashev, et al.
Published: (2017)
by: S. A. Aldashev, et al.
Published: (2017)
Well-posedness of the Dirichlet problem in a cylindrical domain for three-dimensional elliptic equations with degeneration of type and order
by: Aldashev, S. A., et al.
Published: (2017)
by: Aldashev, S. A., et al.
Published: (2017)
On the Dirichlet problem for a quasilinear elliptic second order equation with triple degeneracy and singularity in a domain with edge on the boundary
by: Borsuk, M., et al.
Published: (2000)
by: Borsuk, M., et al.
Published: (2000)
On global solutions to a nonlinear elliptic boundary problem in an unbounded domain
by: Kondratiev, V.A., et al.
Published: (2000)
by: Kondratiev, V.A., et al.
Published: (2000)
On the uniqueness of solutions of the Dirichlet and Neumann problems for an elliptic second-order differential equation on a semiaxis
by: Gorbachuk, V. M., et al.
Published: (1994)
by: Gorbachuk, V. M., et al.
Published: (1994)
On the Dirichlet problem for the Beltrami equations in finitely connected domains
by: Kovtonyuk, D. A., et al.
Published: (2012)
by: Kovtonyuk, D. A., et al.
Published: (2012)
On Dirichlet problem for Beltrami equations in finitely domains
by: I. Petkov, et al.
Published: (2020)
by: I. Petkov, et al.
Published: (2020)
Entropy Solutions of the Dirichlet Problem for Some Nonlinear Elliptic Degenerate Second-Order Equations
by: Yu. Gorban, et al.
Published: (2021)
by: Yu. Gorban, et al.
Published: (2021)
New conditions for averaging of nonlinear dirichlet problems in perforated domains
by: Skrypnik, I. V., et al.
Published: (1996)
by: Skrypnik, I. V., et al.
Published: (1996)
Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge
by: Plesha, M. I., et al.
Published: (2001)
by: Plesha, M. I., et al.
Published: (2001)
On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
by: M. V. Vojtovich
Published: (2015)
by: M. V. Vojtovich
Published: (2015)
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic fourth order equations with L¹-data
by: Kovalevsky, A.A.
Published: (1999)
by: Kovalevsky, A.A.
Published: (1999)
Energy estimates of bounded solutions of the Dirichlet problem for a class of nonlinear fourth-order elliptic equations
by: Voitovich, M.V.
Published: (2012)
by: Voitovich, M.V.
Published: (2012)
On the behavior of solutions of the Dirichlet problem for a class of degenerate elliptic equations in the neighborhood of conical boundary points
by: Borsuk, M.V., et al.
Published: (1999)
by: Borsuk, M.V., et al.
Published: (1999)
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data
by: Kovalevsky, A.A.
Published: (2002)
by: Kovalevsky, A.A.
Published: (2002)
The Dirichlet problem for the Beltrami equations in simply connected domains
by: I. V. Petkov
Published: (2015)
by: I. V. Petkov
Published: (2015)
Dirichlet problem for Poisson equations in Jordan domains
by: V. Gutlyanskii, et al.
Published: (2018)
by: V. Gutlyanskii, et al.
Published: (2018)
Dirichlet problem for Poisson equations in Jordan domains
by: Gutlyanskii, V., et al.
Published: (2018)
by: Gutlyanskii, V., et al.
Published: (2018)
Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains
by: Berestycki, H., et al.
Published: (2004)
by: Berestycki, H., et al.
Published: (2004)
On the improvement of summability of generalized solutions of the Dirichlet problem for nonlinear equations of the fourth order with strengthened ellipticity
by: Voitovich, M. V., et al.
Published: (2006)
by: Voitovich, M. V., et al.
Published: (2006)
Asymptotic expansions of a solution to an elliptic boundary-value problem for a thin cascade domain
by: A. V. Klevtsovskyi, et al.
Published: (2013)
by: A. V. Klevtsovskyi, et al.
Published: (2013)
Граничні властивості розв'язків задачі Діріхле в еліптичній області
by: Ворошик, Н.Й., et al.
Published: (1995)
by: Ворошик, Н.Й., et al.
Published: (1995)
Behaviour of solutions of the Dirichlet problem for quasilinear elliptical equations of the second order of a general kind near angular point
by: Borsuk , M. V., et al.
Published: (1992)
by: Borsuk , M. V., et al.
Published: (1992)
On the Dirichlet problem for Beltrami equations with sources in simply connected domains
by: V. Y. Gutlyanskii, et al.
Published: (2024)
by: V. Y. Gutlyanskii, et al.
Published: (2024)
On the Dirichlet problem for Beltrami equations with sources in simply connected domains
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2024)
by: Gutlyanskiĭ, V.Ya., et al.
Published: (2024)
On compensated compactness for nonlinear elliptic problems in perforated domains
by: Skrypnik, I.V.
Published: (2000)
by: Skrypnik, I.V.
Published: (2000)
Dirichlet problem for the Poisson equation with an essentially infinite-dimensional elliptic operator
by: Bogdanskii, Yu. V., et al.
Published: (1994)
by: Bogdanskii, Yu. V., et al.
Published: (1994)
On conditions for convergence of Taylor-Dirichlet series in a convex domain
by: Krutigolova, Ye. K., et al.
Published: (1994)
by: Krutigolova, Ye. K., et al.
Published: (1994)
On Compensated Compactness for Nonlinear Elliptic Problems in Perforated Domains
by: Skrypnik, I. V., et al.
Published: (2000)
by: Skrypnik, I. V., et al.
Published: (2000)
Convergence of Eigenvalues and Eigenfunctions of Nonlinear Dirichlet Problems in Domains with Fine-Grain Boundary
by: Namleeva, Yu. V., et al.
Published: (2003)
by: Namleeva, Yu. V., et al.
Published: (2003)
Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2001)
by: Plaksa, S. A., et al.
Published: (2001)
On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients
by: Foiad, Sobhi Obaid, et al.
Published: (1998)
by: Foiad, Sobhi Obaid, et al.
Published: (1998)
On the compactness of classes of the solutions of the Dirichlet problem
by: O. P. Dovhopiatyi, et al.
Published: (2021)
by: O. P. Dovhopiatyi, et al.
Published: (2021)
Similar Items
-
On solutions of the Dirichlet problem for elliptic systems on a circle
by: Bursky, V. P., et al.
Published: (1992) -
Estimates of generalized solutions of the Dirichlet problem for quasilinear elliptic equations of the second order in a domain with conical boundary point
by: Borsuk, M. V., et al.
Published: (1998) -
On theg-convergence of nonlinear elliptic operators related to the dirichlet problem in variable domains
by: Kovalevskii, A. A., et al.
Published: (1993) -
Correctness of the Dirichlet problem in a cylindric domain for one class of multidimensional hyperbolic-elliptic equations
by: S. A. Aldashev
Published: (2013) -
On the solvability of the dirichlet problem for elliptic nondivergent equations of the second order in a domain with conical point
by: Borsuk, M. V., et al.
Published: (1996)