Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E.; Wall, P. On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality. (English) Zbl 1239.35106 Int. J. Differ. Equ. 2011, Article ID 619623, 22 p. (2011). MSC: 35P20 35R05 35J05 PDF BibTeX XML Cite \textit{G. A. Chechkin} et al., Int. J. Differ. Equ. 2011, Article ID 619623, 22 p. (2011; Zbl 1239.35106) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Chechkin, G. A.; Koroleva, Yu. O.; Persson, L.-E. On the precise asymptotics of the constant in Friedrich’s inequality for functions vanishing on the part of the boundary with microinhomogeneous structure. (English) Zbl 1144.35357 J. Inequal. Appl. 2007, Article ID 34138, 13 p. (2007). MSC: 35B45 26D10 46E35 PDF BibTeX XML Cite \textit{G. A. Chechkin} et al., J. Inequal. Appl. 2007, Article ID 34138, 13 p. (2007; Zbl 1144.35357) Full Text: DOI EuDML OpenURL