Behaviour of solutions of the Dirichlet problem for quasilinear elliptical equations of the second order of a general kind near angular point
The Dirichlet problem for the uniformly elliptic equation aij (x,u,ux)uxixj + a (x,u,ux)=0. is considered in a bounded plane region. It is assumed that there is a corner point on the boundary of the region (the origin), and that the coefficients of the equation satisfy minimal smoothness conditions...
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | Borsuk , M. V., Борсук , М. В. |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7828 |
| 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
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 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 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)
Behaviour of solutions of quasilinear elliptical equations of the second order in nonrestricted regions
by: Kurta , V. V., et al.
Published: (1992)
by: Kurta , V. V., et al.
Published: (1992)
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 Fragmen–Lindelof theorems for quasilinear elliptic equations of the second order
by: Kurta , V. V., et al.
Published: (1992)
by: Kurta , V. V., et al.
Published: (1992)
Smooth Solution of the Dirichlet Problem for a Quasilinear Hyperbolic Equation of the Second Order
by: Mitropolskiy, Yu. A., et al.
Published: (2000)
by: Mitropolskiy, Yu. A., et al.
Published: (2000)
Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
by: Chernetskii, V. A., et al.
Published: (1997)
by: Chernetskii, V. A., et al.
Published: (1997)
The transmission problem for quasi-linear elliptic second order equations in a conical domain
by: Borsuk, M.
Published: (2007)
by: Borsuk, M.
Published: (2007)
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)
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
by: Borsuk, M., et al.
Published: (2004)
by: Borsuk, M., et al.
Published: (2004)
Conditions of solvability of the Dirichlet problem for degenerate anisotropic elliptic second-order equations with L¹-data
by: Kovalevsky, A.A., et al.
Published: (2013)
by: Kovalevsky, A.A., et al.
Published: (2013)
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 one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
by: Bazalii, B. V., et al.
Published: (2007)
by: Bazalii, B. V., et al.
Published: (2007)
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)
On the Dirichlet problem for quasilinear Poisson equations
by: Gutlyanskii, V.Ya., et al.
Published: (2017)
by: Gutlyanskii, V.Ya., et al.
Published: (2017)
On the Dirichlet problem for quasilinear Poisson equations
by: Ya. Gutlyanskiĭ, et al.
Published: (2017)
by: Ya. Gutlyanskiĭ, et al.
Published: (2017)
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)
Generalized boundary values of solutions of quasilinear elliptic equations with linear principal part
by: Lopushanskaya, G. P., et al.
Published: (2007)
by: Lopushanskaya, G. P., et al.
Published: (2007)
On oscillation of solutions of a nonautonomous quasilinear second-order equation
by: Vitrychenko, I. E., et al.
Published: (1994)
by: Vitrychenko, I. E., et al.
Published: (1994)
Dirichlet problem with measurable data for quasilinear Poisson equations
by: V. Gutlyanskii, et al.
Published: (2021)
by: V. Gutlyanskii, et al.
Published: (2021)
Averaging of the Dirichlet problem for the spectral hyperbolic quasilinear equation
by: Sidenko, N.R.
Published: (2008)
by: Sidenko, N.R.
Published: (2008)
The magnetization dynamics of a two-sublattice ferrimagnet near the angular momentum compensation point
by: V. N. Krivoruchko
Published: (2014)
by: V. N. Krivoruchko
Published: (2014)
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)
Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order
by: Sleptsova, I. P., et al.
Published: (2005)
by: Sleptsova, I. P., et al.
Published: (2005)
Global λ-Stability of One Nonautonomous Quasilinear Second-Order Equation
by: Vitrychenko, I. E., et al.
Published: (2002)
by: Vitrychenko, I. E., et al.
Published: (2002)
Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order
by: Petrovskii, Ya. B., et al.
Published: (1996)
by: Petrovskii, Ya. B., et al.
Published: (1996)
Electric barrier formation in kind of connected dip and hump of electric potential near ECR point
by: Barchuk, S.V., et al.
Published: (2002)
by: Barchuk, S.V., et al.
Published: (2002)
Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales
by: Ch. Zhang, et al.
Published: (2018)
by: Ch. Zhang, et al.
Published: (2018)
Note on the oscillation of second-order quasilinear neutral dynamic equations on time scales
by: Chenghui Zhang, et al.
Published: (2018)
by: Chenghui Zhang, et al.
Published: (2018)
A critical case of stability of one quasilinear difference equation of the second order
by: Vitrychenko, I. E., et al.
Published: (1999)
by: Vitrychenko, I. E., et al.
Published: (1999)
On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains
by: Kurta, V. V., et al.
Published: (1993)
by: Kurta, V. V., et al.
Published: (1993)
On Regularization of Second Kind Integrals
by: Bernatska, J., et al.
Published: (2018)
by: Bernatska, J., et al.
Published: (2018)
Behaviour of a three-dimensional uniaxial magnet near the critical point in an external field
by: Kozlovskii, M.P., et al.
Published: (2004)
by: Kozlovskii, M.P., et al.
Published: (2004)
Elliptic integrals of the third kind in problems of contact interaction
by: Yu. Sachuk, et al.
Published: (2014)
by: Yu. Sachuk, et al.
Published: (2014)
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)
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)
Conditions of solvability of quasilinear periodic boundary-value problems for hyperbolic equations of the second order
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
by: Mitropolskiy, Yu. A., et al.
Published: (1998)
On the behaviour of solutions of degenerate nonlinear elliptic equations
by: Cataldo, V., et al.
Published: (2005)
by: Cataldo, V., et al.
Published: (2005)
On behaviour of integral functions represented by the Dirichlet series on the real axis
by: Vinnitsky , В. V., et al.
Published: (2025)
by: Vinnitsky , В. V., et al.
Published: (2025)
Similar Items
-
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 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) -
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) -
Behaviour of solutions of quasilinear elliptical equations of the second order in nonrestricted regions
by: Kurta , V. V., et al.
Published: (1992) -
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)