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Found 11 Documents (Results 1–11)

Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation. (English. Russian original) Zbl 1479.35247

Dokl. Math. 103, No. 2, 69-71 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 3-6 (2021).
MSC:  35J05 35J25 35B65
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On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type. (English. Russian original) Zbl 1406.35032

Izv. Math. 82, No. 6, 1108-1135 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 37-64 (2018).
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Spectral problem in a domain perforated along the boundary. Perturbation of a multiple eigenvalue. (English. Russian original) Zbl 1301.35071

J. Math. Sci., New York 196, No. 3, 276-292 (2014); translation from Probl. Mat. Anal. 73, 31-45 (2013).
MSC:  35P20 35J20 35B27
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Asymptotic expansion of eigenelements of the Laplace operator in a domain with a large number of ‘light’ concentrated masses sparsely situated on the boundary. Two-dimensional case. (English. Russian original) Zbl 1202.35143

Trans. Mosc. Math. Soc. 2009, 71-134 (2009); translation from Tr. Mosk. Mat. O.-va 70, 102-182 (2009).
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Homogenization of a model spectral problem for the Laplace operator in a domain with many closely located ‘heavy’ and ‘intermediate heavy’ concentrated masses. The case \(1\leq s\leq \infty\). (Russian, English) Zbl 1119.47003

J. Math. Sci., New York 135, No. 6, 3485-3521 (2006); translation from Probl. Mat. Anal. 32, 45-75 (2006).
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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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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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