Alkhutov, Yu. A.; Chechkin, G. A. 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 PDFBibTeX XMLCite \textit{Yu. A. Alkhutov} and \textit{G. A. Chechkin}, Dokl. Math. 103, No. 2, 69--71 (2021; Zbl 1479.35247); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 3--6 (2021) Full Text: DOI
Gadyl’shin, R. R.; Piatnitskii, A. L.; Chechkin, G. A. 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). MSC: 35B27 35C20 35J05 35J25 35P15 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} et al., Izv. Math. 82, No. 6, 1108--1135 (2018; Zbl 1406.35032); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 6, 37--64 (2018) Full Text: DOI
Gadyl’shin, R. R.; Kozhevnikov, D. V.; Chechkin, G. A. 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 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} et al., J. Math. Sci., New York 196, No. 3, 276--292 (2014; Zbl 1301.35071); translation from Probl. Mat. Anal. 73, 31--45 (2013) Full Text: DOI
Chechkin, G. A.; Cioranescu, D.; Damlamian, A.; Piatnitski, A. L. On boundary value problem with singular inhomogeneity concentrated on the boundary. (English. French summary) Zbl 1277.35142 J. Math. Pures Appl. (9) 98, No. 2, 115-138 (2012). Reviewer: Philippe Bolle (Avignon) MSC: 35J05 35J25 35B27 PDFBibTeX XMLCite \textit{G. A. Chechkin} et al., J. Math. Pures Appl. (9) 98, No. 2, 115--138 (2012; Zbl 1277.35142) Full Text: DOI
Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey L. Boundary homogenization in domains with randomly oscillating boundary. (English) Zbl 1219.35021 Stochastic Processes Appl. 121, No. 1, 1-23 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35J05 35J25 PDFBibTeX XMLCite \textit{Y. Amirat} et al., Stochastic Processes Appl. 121, No. 1, 1--23 (2011; Zbl 1219.35021) Full Text: DOI
Amirat, Youcef; Chechkin, Gregory A.; Gadyl’shin, Rustem R. Spectral boundary homogenization in domains with oscillating boundaries. (English) Zbl 1204.35035 Nonlinear Anal., Real World Appl. 11, No. 6, 4492-4499 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35P05 35J05 35J25 PDFBibTeX XMLCite \textit{Y. Amirat} et al., Nonlinear Anal., Real World Appl. 11, No. 6, 4492--4499 (2010; Zbl 1204.35035) Full Text: DOI
Chechkin, G. A. 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). MSC: 35P10 35J25 35B25 35B27 35B40 35J05 74K15 PDFBibTeX XMLCite \textit{G. A. Chechkin}, Trans. Mosc. Math. Soc. 2009, 71--134 (2009; Zbl 1202.35143); translation from Tr. Mosk. Mat. O.-va 70, 102--182 (2009) Full Text: DOI
Chechkin, G. A. 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). MSC: 47A10 35J05 35B25 35B27 35J25 35P15 74Q05 PDFBibTeX XMLCite \textit{G. A. Chechkin}, Probl. Mat. Anal. 32, 45--75 (2006; Zbl 1119.47003); translation from Probl. Mat. Anal. 32, 45--75 (2006)
Gadyl’shin, R. R.; Chechkin, G. A. 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). Reviewer: V.Grebenev (Novosibirsk) MSC: 35J05 35J25 35B05 35B40 35P20 PDFBibTeX XMLCite \textit{R. R. Gadyl'shin} and \textit{G. A. Chechkin}, Sib. Math. J. 40, No. 2, 229--244 (1999; Zbl 0939.35048); translation from Sib. Mat. Zh. 40, No. 2, 271--287 (1999)
Belyaev, A. G.; Pyatnitskij, A. L.; Chechkin, G. A. 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). Reviewer: V.Grebenev (Novosibirsk) MSC: 35J25 35B40 35J05 35C20 35A20 35B27 PDFBibTeX XMLCite \textit{A. G. Belyaev} et al., Sib. Math. J. 39, No. 4, 730--754 (1998; Zbl 0918.35043); translation from Sib. Mat. Zh. 39, No. 4, 730--754 (1998) Full Text: DOI
Chechkin, G. A. Averaging of boundary value problems with a singular perturbation of the boundary conditions. (English. Russian original) Zbl 0875.35009 Russ. Acad. Sci., Sb., Math. 79, No. 1, 191-222 (1994); translation from Mat. Sb. 184, No. 6, 99-150 (1993). MSC: 35B25 35J25 35J05 PDFBibTeX XMLCite \textit{G. A. Chechkin}, Russ. Acad. Sci., Sb., Math. 79, No. 1, 99--150 (1993; Zbl 0875.35009); translation from Mat. Sb. 184, No. 6, 99--150 (1993) Full Text: DOI