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Found 96 Documents (Results 1–96)

The uniqueness criterion for a solution to a boundary value problem for the operator \(\frac{\partial^{2p}}{\partial t^{2p}}-a\) with an elliptic operator \(a\) of arbitrary order. (English. Russian original) Zbl 1507.35007

Sib. Math. J. 63, No. 6, 1083-1090 (2022); translation from Sib. Mat. Zh. 63, No. 6, 1266-1275 (2022).
MSC:  35A02 35G15
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Resolvents of well-posed problems for finite-rank perturbations of the polyharmonic operator in a punctured domain. (English. Russian original) Zbl 1346.35051

Sib. Math. J. 57, No. 2, 265-273 (2016); translation from Sib. Mat. Zh. 57, No. 2, 339-349 (2016).
MSC:  35J40
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The Liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds. (English. Russian original) Zbl 1246.58016

Sib. Math. J. 53, No. 1, 134-145 (2012); translation from Sib. Mat. Zh. 53, No. 1, 165-179 (2012).
MSC:  58J05 58J32 35B40
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Existence of solutions to resonant elliptic boundary value problems with unbounded discontinuous nonlinearities. (English. Russian original) Zbl 1233.35087

Sib. Math. J. 52, No. 3, 487-500 (2011); translation from Sib. Mat. Zh. 52, No. 3, 619-634 (2011).
MSC:  35J47 35J40
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Localization near the corner point of the principal eigenfunction of the Dirichlet problem in a domain with thin edging. (English. Russian original) Zbl 1221.35257

Sib. Math. J. 52, No. 2, 274-290 (2011); translation from Sib. Mat. Zh. 52, No. 2, 350-370 (2011).
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On a method for solving a classical variational problem. (English. Russian original) Zbl 0958.35026

Sib. Math. J. 41, No. 5, 866-879 (2000); translation from Sib. Mat. Zh. 41, No. 5, 1060-1075 (2000).
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Completeness of the system of root functions of boundary value problems for elliptic equations with boundary conditions of Bitsadze-Samarskij type. (English. Russian original) Zbl 0952.35021

Sib. Math. J. 41, No. 3, 397-404 (2000); translation from Sib. Mat. Zh. 41, No. 3, 489-497 (2000).
MSC:  35J15 35J25 35A05 47A50 47A75
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A boundary value problem for the Laplacian with rapidly changing type of boundary conditions in a multidimensional domain. (English. Russian original) Zbl 0939.35048

Sib. Math. J. 40, No. 2, 229-244 (1999); translation from Sib. Mat. Zh. 40, No. 2, 271-287 (1999).
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Regularization of a solution to the Cauchy problem for the system of equations of elasticity in displacements. (English. Russian original) Zbl 0938.35189

Sib. Math. J. 39, No. 2, 323-330 (1998); translation from Sib. Mat. Zh. 39, No. 2, 369-376 (1998).
MSC:  35R25 74B10 35A35 35J25 35Q72
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Asymptotic behavior of a solution to a boundary value problem in a perforated domain with oscillating boundary. (English. Russian original) Zbl 0918.35043

Sib. Math. J. 39, No. 4, 621-644 (1998); translation from Sib. Mat. Zh. 39, No. 4, 730-754 (1998).
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Dini continuity of the first-order derivatives of solutions to the Dirichlet problem for linear second-order elliptic equations in a nonsmooth domain. (English. Russian original) Zbl 0902.35031

Sib. Math. J. 39, No. 2, 226-244 (1998); translation from Sib. Mat. Zh. 39, No. 2, 261-280 (1998).
MSC:  35J25 35D10
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Asymptotic behavior of a solution to the Poisson–Boltzmann equation in a three-dimensional domain with a thin bridge. (English. Russian original) Zbl 0902.35015

Sib. Math. J. 39, No. 1, 81-98 (1998); translation from Sib. Mat. Zh. 39, No. 1, 94-111 (1998).
MSC:  35B40 35J65
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The energy method for three-dimensional elliptic equations with asymmetric tensor coefficients. (English. Russian original) Zbl 0938.35051

Sib. Math. J. 38, No. 6, 1099-1111 (1997); translation from Sib. Mat. Zh. 38, No. 6, 1267-1281 (1997).
MSC:  35J45 35N05 35J55 35J50
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Necessary and sufficient conditions for validity of the weak extremum principle for second-order elliptic systems. (English. Russian original) Zbl 0881.35033

Sib. Math. J. 37, No. 6, 1153-1170 (1996); translation from Sib. Mat. Zh. 37, No. 6, 1314-1334 (1996).
Reviewer: O.Titow (Berlin)
MSC:  35J55 35B50
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Compactness of the support and nonexistence of singularities for nonlinear elliptic systems of arbitrary order. (English. Russian original) Zbl 0858.35032

Sib. Math. J. 35, No. 2, 294-305 (1994); translation from Sib. Mat. Zh. 35, No. 2, 327-339 (1994).
MSC:  35J55 35B40 65M99 65N99 35B60
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On two boundary value problems for elliptic equations on the plane for the case in which the Lopatinskij condition is violated. (English. Russian original) Zbl 0794.35063

Sib. Math. J. 33, No. 2, 233-238 (1992); translation from Sib. Mat. Zh. 33, No. 2, 66-72 (1992).
MSC:  35J70 35J55
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Generalized solution of a Dirichlet-type problem for some singular elliptic equations. (English. Russian original) Zbl 0738.35013

Sib. Math. J. 31, No. 5, 770-780 (1990); translation from Sib. Mat. Zh. 31, No. 5(183), 79-91 (1990).
MSC:  35D10 35D05 35J20 35J25 31B05
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The behavior of generalized solutions of the Dirichlet problem for quasilinear elliptic divergence form equations of second order near a conical point. (English. Russian original) Zbl 0734.35013

Sib. Math. J. 31, No. 6, 891-904 (1990); translation from Sib. Mat. Zh. 31, No. 6(184), 25-38 (1990).
Reviewer: G.Vainikko (Tartu)
MSC:  35B65 35C20 35J65
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Behavior of the gradient of the solution of the Dirichlet problem for the biharmonic equation near a boundary point of a three-dimensional domain. (English. Russian original) Zbl 0728.31006

Sib. Math. J. 31, No. 6, 970-983 (1990); translation from Sib. Mat. Zh. 31, No. 6(184), 113-126 (1990).
MSC:  31B30 35J40
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Boundary properties of the kernel of an elliptic pseudodifferential operator on a compact manifold with boundary. (English. Russian original) Zbl 0703.35183

Sib. Math. J. 30, No. 3, 364-382 (1989); translation from Sib. Mat. Zh. 30, No. 3(175), 24-44 (1989).
Reviewer: Yu.V.Egorov
MSC:  35S15 58J40 35J50
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Behavior of solutions of the Dirichlet problem for quasilinear divergent higher-order elliptic equations in unbounded domains. (English. Russian original) Zbl 0678.35030

Sib. Math. J. 28, No. 6, 972-982 (1987); translation from Sib. Mat. Zh. 28, No. 6(166), 134-146 (1987).
Reviewer: L.Simon
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Vishik-Lyusternik method for elliptic boundary-value problems in domains with conical point. III. Problem with degeneracy at a conical point. (English. Russian original) Zbl 0593.35049

Sib. Math. J. 25, 917-925 (1984); translation from Sib. Mat. Zh. 25, No. 6(148), 106-115 (1984).
Reviewer: M.Kučera
MSC:  35J70 35J40
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The Saint-Venant principle in the two-dimensional theory of elasticity and boundary problems for a biharmonic equation in unbounded domains. (English. Russian original) Zbl 0448.35039

Sib. Math. J. 19, 813-822 (1979); translation from Sib. Mat. Zh. 19, 1154-1165 (1978).
MSC:  35J40 31B35 74G50
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