Dalla Riva, Matteo; Luzzini, Paolo; Musolino, Paolo Singular behavior for a multi-parameter periodic Dirichlet problem. (English) Zbl 07739272 Asymptotic Anal. 134, No. 1-2, 193-212 (2023). MSC: 35J05 35J25 PDF BibTeX XML Cite \textit{M. Dalla Riva} et al., Asymptotic Anal. 134, No. 1--2, 193--212 (2023; Zbl 07739272) Full Text: DOI arXiv
Dalla Riva, Matteo; Mishuris, Gennady; Musolino, Paolo Integral equation method for a Robin-type traction problem in a periodic domain. (English) Zbl 07740728 Trans. A. Razmadze Math. Inst. 176, No. 3, 349-360 (2022). MSC: 35J65 31B10 45F15 74B05 PDF BibTeX XML Cite \textit{M. Dalla Riva} et al., Trans. A. Razmadze Math. Inst. 176, No. 3, 349--360 (2022; Zbl 07740728) Full Text: arXiv Link
Mishra, Indira Homogenization of boundary optimal control problem. (English) Zbl 1496.35046 Electron. J. Differ. Equ. 2022, Paper No. 12, 23 p. (2022). MSC: 35B27 35J20 35J25 35J56 35Q93 49J20 PDF BibTeX XML Cite \textit{I. Mishra}, Electron. J. Differ. Equ. 2022, Paper No. 12, 23 p. (2022; Zbl 1496.35046) Full Text: Link
Bella, Peter; Oschmann, Florian Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains. (English) Zbl 1494.76061 J. Math. Fluid Mech. 24, No. 3, Paper No. 79, 11 p. (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 76M50 76N06 76N10 76S05 35Q35 35B27 PDF BibTeX XML Cite \textit{P. Bella} and \textit{F. Oschmann}, J. Math. Fluid Mech. 24, No. 3, Paper No. 79, 11 p. (2022; Zbl 1494.76061) Full Text: DOI arXiv
Zubova, M. N.; Shaposhnikova, T. A. Homogenization of a boundary-value problem in a domain perforated by cavities of arbitrary shape with a general nonlinear boundary condition on their boundaries: the case of critical values of the parameters. (English. Russian original) Zbl 1435.35040 J. Math. Sci., New York 244, No. 2, 235-253 (2020); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 191-219 (2019). MSC: 35B27 35J05 35J65 PDF BibTeX XML Cite \textit{M. N. Zubova} and \textit{T. A. Shaposhnikova}, J. Math. Sci., New York 244, No. 2, 235--253 (2020; Zbl 1435.35040); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 191--219 (2019) Full Text: DOI
Lanza de Cristoforis, Massimo; Musolino, Paolo Asymptotic behaviour of the energy integral of a two-parameter homogenization problem with nonlinear periodic Robin boundary conditions. (English) Zbl 1439.35154 Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 985-1016 (2019). Reviewer: Davide Buoso (Alessandria) MSC: 35J25 31B10 45A05 47H30 PDF BibTeX XML Cite \textit{M. Lanza de Cristoforis} and \textit{P. Musolino}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 985--1016 (2019; Zbl 1439.35154) Full Text: DOI
Baffico, L. Two-scale homogenization of the Poisson equation with friction boundary condition in a perforated domain. (English) Zbl 1339.35097 Asymptotic Anal. 96, No. 3-4, 331-349 (2016). MSC: 35J05 35B27 65N30 PDF BibTeX XML Cite \textit{L. Baffico}, Asymptotic Anal. 96, No. 3--4, 331--349 (2016; Zbl 1339.35097) Full Text: DOI
Lanza de Cristoforis, M.; Musolino, P. A functional analytic approach to homogenization problems. (English) Zbl 1469.74094 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer. 353-359 (2015). MSC: 74Q05 74G10 35B27 PDF BibTeX XML Cite \textit{M. Lanza de Cristoforis} and \textit{P. Musolino}, in: Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21--25, 2014. Cham: Birkhäuser/Springer. 353--359 (2015; Zbl 1469.74094) Full Text: DOI
Krehel, Oleh; Aiki, Toyohiko; Muntean, Adrian Homogenization of a thermo-diffusion system with Smoluchowski interactions. (English) Zbl 1307.35030 Netw. Heterog. Media 9, No. 4, 739-762 (2014). MSC: 35B27 35K59 80M40 80A25 35K40 PDF BibTeX XML Cite \textit{O. Krehel} et al., Netw. Heterog. Media 9, No. 4, 739--762 (2014; Zbl 1307.35030) Full Text: DOI arXiv
Dalla Riva, M.; Musolino, P. A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach. (English) Zbl 1284.35424 Math. Methods Appl. Sci. 37, No. 1, 106-122 (2014). MSC: 35Q74 31B10 45F15 74B05 PDF BibTeX XML Cite \textit{M. Dalla Riva} and \textit{P. Musolino}, Math. Methods Appl. Sci. 37, No. 1, 106--122 (2014; Zbl 1284.35424) Full Text: DOI arXiv
Musolino, Paolo A singularly perturbed Dirichlet problem for the Poisson equation in a periodically perforated domain. A functional analytic approach. (English) Zbl 1266.35039 Almeida, Alexandre (ed.) et al., Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Applications 229, 269-289 (2013). MSC: 35J25 31B10 45A05 47H30 35J05 PDF BibTeX XML Cite \textit{P. Musolino}, Oper. Theory: Adv. Appl. 229, 269--289 (2013; Zbl 1266.35039) Full Text: DOI arXiv
Cabarrubias, Bituin; Donato, Patrizia Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions. (English) Zbl 1254.35017 Appl. Anal. 91, No. 6, 1111-1127 (2012). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35J66 35J20 35J62 PDF BibTeX XML Cite \textit{B. Cabarrubias} and \textit{P. Donato}, Appl. Anal. 91, No. 6, 1111--1127 (2012; Zbl 1254.35017) Full Text: DOI
Musolino, Paolo A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach. (English) Zbl 1232.35179 Math. Methods Appl. Sci. 35, No. 3, 334-349 (2012). MSC: 35R05 35J05 35B60 58J32 PDF BibTeX XML Cite \textit{P. Musolino}, Math. Methods Appl. Sci. 35, No. 3, 334--349 (2012; Zbl 1232.35179) Full Text: DOI arXiv
Gadyl’shin, R. R.; Koroleva, Yu. O.; Chechkin, G. A. On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary. (English. Russian original) Zbl 1228.35162 Differ. Equ. 47, No. 6, 822-831 (2011); translation from Differ. Uravn. 47, No. 6, 819-828 (2011). MSC: 35P20 58J50 35B27 PDF BibTeX XML Cite \textit{R. R. Gadyl'shin} et al., Differ. Equ. 47, No. 6, 822--831 (2011; Zbl 1228.35162); translation from Differ. Uravn. 47, No. 6, 819--828 (2011) Full Text: DOI
Barchiesi, Marco; Focardi, Matteo Homogenization of the Neumann problem in perforated domains: an alternative approach. (English) Zbl 1227.35044 Calc. Var. Partial Differ. Equ. 42, No. 1-2, 257-288 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 74Q05 74R10 PDF BibTeX XML Cite \textit{M. Barchiesi} and \textit{M. Focardi}, Calc. Var. Partial Differ. Equ. 42, No. 1--2, 257--288 (2011; Zbl 1227.35044) Full Text: DOI Link
Zubova, M. N.; Shaposhnikova, T. A. Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem. (English. Russian original) Zbl 1217.35049 Differ. Equ. 47, No. 1, 78-90 (2011); translation from Differ. Uravn. 47, No. 1, 79-91 (2011). MSC: 35J05 35B27 35J65 35A35 PDF BibTeX XML Cite \textit{M. N. Zubova} and \textit{T. A. Shaposhnikova}, Differ. Equ. 47, No. 1, 78--90 (2011; Zbl 1217.35049); translation from Differ. Uravn. 47, No. 1, 79--91 (2011) Full Text: DOI
Muthukumar, T.; Nandakumaran, A. K. Darcy-type law associated to an optimal control problem. (English) Zbl 1136.35309 Electron. J. Differ. Equ. 2008, Paper No. 16, 12 p. (2008). MSC: 35B27 49J20 76D07 35B37 PDF BibTeX XML Cite \textit{T. Muthukumar} and \textit{A. K. Nandakumaran}, Electron. J. Differ. Equ. 2008, Paper No. 16, 12 p. (2008; Zbl 1136.35309) Full Text: EuDML EMIS
Ainouz, Abdelhamid Two-scale homogenization of a Robin problem in perforated media. (English) Zbl 1131.35303 Appl. Math. Sci., Ruse 1, No. 33-36, 1789-1802 (2007). MSC: 35B27 35J25 74Q10 PDF BibTeX XML Cite \textit{A. Ainouz}, Appl. Math. Sci., Ruse 1, No. 33--36, 1789--1802 (2007; Zbl 1131.35303) Full Text: arXiv
Chechkin, Gregory A. Homogenization in perforated domains. (English) Zbl 1129.35007 Braides, Andrea (ed.) et al., Topics on concentration phenomena and problems with multiple scales. Berlin: Springer (ISBN 3-540-36241-X/pbk). Lecture Notes of the Unione Matematica Italiana 2, 189-208 (2006). Reviewer: Alexander A. Kovalevsky (Donetsk) MSC: 35B27 35B40 35J25 PDF BibTeX XML Cite \textit{G. A. Chechkin}, Lect. Notes Unione Mat. Ital. 2, 189--208 (2006; Zbl 1129.35007)
Vorob’ev, A. Yu.; Shaposhnikova, T. A. On the homogenization of variational inequalities in perforated domains with arbitrary perforation density. (Russian, English) Zbl 1101.35014 Vestn. Mosk. Univ., Ser. I 2005, No. 1, 8-16 (2005); translation in Mosc. Univ. Math. Bull. 60, No. 1, 7-15 (2005). Reviewer: V. V. Vlasov (Moskva) MSC: 35B27 35B25 35B40 35J85 PDF BibTeX XML Cite \textit{A. Yu. Vorob'ev} and \textit{T. A. Shaposhnikova}, Vestn. Mosk. Univ., Ser. I 2005, No. 1, 8--16 (2005; Zbl 1101.35014); translation in Mosc. Univ. Math. Bull. 60, No. 1, 7--15 (2005)
Beliaev, A. Homogenization of a parabolic operator with Signorini boundary conditions in perforated domains. (English) Zbl 1071.35010 Asymptotic Anal. 40, No. 3-4, 255-268 (2004). MSC: 35B27 35K20 PDF BibTeX XML Cite \textit{A. Beliaev}, Asymptotic Anal. 40, No. 3--4, 255--268 (2004; Zbl 1071.35010)
Timofte, C. Parabolic problems with dynamical boundary conditions in perforated media. (English) Zbl 1065.35049 Math. Model. Anal. 8, No. 4, 337-350 (2003). MSC: 35B27 35K20 74Q05 76M50 PDF BibTeX XML Cite \textit{C. Timofte}, Math. Model. Anal. 8, No. 4, 337--350 (2003; Zbl 1065.35049)
Vorob’ev, A. Yu.; Shaposhnikova, T. A. Homogenizaton of a nonhomogeneous Signorini problem for the Poisson equation in a periodically perforated domain. (English. Russian original) Zbl 1173.35428 Differ. Equ. 39, No. 3, 387-396 (2003); translation from Differ. Uravn. 39, No. 3, 359-366 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J25 35B27 35B25 35B40 PDF BibTeX XML Cite \textit{A. Yu. Vorob'ev} and \textit{T. A. Shaposhnikova}, Differ. Equ. 39, No. 3, 387--396 (2003; Zbl 1173.35428); translation from Differ. Uravn. 39, No. 3, 359--366 (2003) Full Text: DOI
Cardone, G.; D’Apice, C.; De Maio, U. Homogenization in perforated domains with mixed conditions. (English) Zbl 1039.35015 Carbone, Luciano (ed.) et al., Homogenization 2001. Proceedings of the first HMS2000 international school and conference on homogenization, Naples, Italy, June 18–22 and 23–27, 2001. Tokyo: Gakkotosho (ISBN 4-7625-0427-0/hbk). GAKUTO Int. Ser., Math. Sci. Appl. 18, 225-229 (2003). Reviewer: Marco Biroli (Milano) MSC: 35B27 76M50 35J25 PDF BibTeX XML Cite \textit{G. Cardone} et al., GAKUTO Int. Ser., Math. Sci. Appl. 18, 225--229 (2003; Zbl 1039.35015)
Heinze, S. Wave solutions to reaction-diffusion systems in perforated domains. (English) Zbl 0986.35051 Z. Anal. Anwend. 20, No. 3, 661-676 (2001). Reviewer: M.Codegone (Torino) MSC: 35K57 35B27 PDF BibTeX XML Cite \textit{S. Heinze}, Z. Anal. Anwend. 20, No. 3, 661--676 (2001; Zbl 0986.35051) Full Text: DOI
Donato, Patrizia; Nabil, Aïssam Approximate controllability of linear parabolic equations in perforated domains. (English) Zbl 0964.35015 ESAIM, Control Optim. Calc. Var. 6, 21-38 (2001). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35B27 35K10 93C20 PDF BibTeX XML Cite \textit{P. Donato} and \textit{A. Nabil}, ESAIM, Control Optim. Calc. Var. 6, 21--38 (2001; Zbl 0964.35015) Full Text: DOI Numdam EuDML
Casado-Díaz, J. Two-scale convergence for nonlinear Dirichlet problems in perforated domains. (English) Zbl 0977.35019 Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 2, 249-276 (2000). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35B40 PDF BibTeX XML Cite \textit{J. Casado-Díaz}, Proc. R. Soc. Edinb., Sect. A, Math. 130, No. 2, 249--276 (2000; Zbl 0977.35019) Full Text: DOI
Jäger, W.; Mikelić, A. Homogenization of the Laplace equation in a partially perforated domain. (English) Zbl 1043.35030 Berdichevsky, V. (ed.) et al., Homogenization. In memory of Serguei Kozlov. Singapore: World Scientific (ISBN 981-02-3096-6/hbk). Ser. Adv. Math. Appl. Sci. 50, 259-284 (1999). Reviewer: Fabio Paronetto (Lecce) MSC: 35B27 35B20 35B40 35J05 35J25 PDF BibTeX XML Cite \textit{W. Jäger} and \textit{A. Mikelić}, Ser. Adv. Math. Appl. Sci. 50, 259--284 (1999; Zbl 1043.35030)
Cioranescu, Doina; Donato, Patrizia; Ene, Horia I. Homogenization of the Stokes problem with non-homogeneous slip boundary conditions. (English) Zbl 0869.35012 Math. Methods Appl. Sci. 19, No. 11, 857-881 (1996). Reviewer: I.Aganović (Zagreb) MSC: 35B27 35Q30 76D07 76S05 PDF BibTeX XML Cite \textit{D. Cioranescu} et al., Math. Methods Appl. Sci. 19, No. 11, 857--881 (1996; Zbl 0869.35012) Full Text: DOI
Sandrakov, G. V. Averaging of nonstationary Stokes flow in a periodic porous medium. (English. Russian original) Zbl 0890.35106 Dokl. Math. 53, No. 2, 211-214 (1996); translation from Dokl. Akad. Nauk 347, No. 3, 312-315 (1996). MSC: 35Q30 76S05 76D07 PDF BibTeX XML Cite \textit{G. V. Sandrakov}, Dokl. Math. 53, No. 2, 211--214 (1996; Zbl 0890.35106); translation from Dokl. Akad. Nauk 347, No. 3, 312--315 (1996)
Cioranescu, D.; Donato, P. On a Robin problem in perforated domains. (English) Zbl 0900.35040 Cioranescu, Doina (ed.) et al., Homogenization and applications to material sciences. Proceedings of the international conference, Nice, France, June 6–10, 1995. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 9, 123-135 (1995). MSC: 35B27 35J25 35B40 PDF BibTeX XML Cite \textit{D. Cioranescu} and \textit{P. Donato}, GAKUTO Int. Ser., Math. Sci. Appl. 9, 123--135 (1995; Zbl 0900.35040)
Labani, N.; Picard, C. Homogenization of a nonlinear Dirichlet problem in a periodically perforated domain. (English) Zbl 0782.35006 Recent advances in nonlinear elliptic and parabolic problems, Proc. Int. Conf., Nancy/France 1988, Pitman Res. Notes Math. Ser. 208, 294-305 (1989). MSC: 35B27 35J65 PDF BibTeX XML Cite \textit{N. Labani} and \textit{C. Picard}, in: Semilinear problem with convex nonlinearity. . 294--305 (1989; Zbl 0782.35006)
Conca, C.; Donato, P. Non-homogeneous Neumann problems in domains with small holes. (English) Zbl 0669.35028 RAIRO, Modélisation Math. Anal. Numér. 22, No. 4, 561-607 (1988). Reviewer: F.Jiang MSC: 35J25 35B30 35B40 PDF BibTeX XML Cite \textit{C. Conca} and \textit{P. Donato}, RAIRO, Modélisation Math. Anal. Numér. 22, No. 4, 561--607 (1988; Zbl 0669.35028) Full Text: DOI EuDML
Sukretnyj, V. I. On approximate determination of the equilibrium state for a perforated plate with small rigidity. (Russian) Zbl 0677.73040 Questions of the stability of integral manifolds in the equations of mathematical physics, Collect. Sci. Works, Kiev 1987, 92-96 (1987). MSC: 74K20 74E05 35C20 35B25 35J05 PDF BibTeX XML
Olejnik, O. A.; Shamaev, A. S.; Yosifyan, G. A. Homogenization of eigenvalues and eigenfunctions of the boundary value problems in perforated domains for elliptic equations with non-uniformly oscillating coefficients. (English) Zbl 0629.35093 Current topics in partial differential equations, Pap. dedic. S. Mizohata Occas. 60th Birthday, 187-216 (1986). Reviewer: R.Saxton MSC: 35P05 35B40 35J25 35B20 PDF BibTeX XML
Conca, Carlos On the application of the homogenization theory to a class of problems arising in fluid mechanics. (English) Zbl 0566.35080 J. Math. Pures Appl., IX. Sér. 64, 31-75 (1985). MSC: 35Q30 35C20 PDF BibTeX XML Cite \textit{C. Conca}, J. Math. Pures Appl. (9) 64, 31--75 (1985; Zbl 0566.35080)
Olejnik, O. A.; Iosif’yan, G. A.; Panasenko, G. P. Asymptotic expansion of solutions of the system of elasticity theory in perforated domains. (English) Zbl 0534.73013 Math. USSR, Sb. 48, 19-39 (1984). MSC: 74B99 74H99 35C20 74E05 35B10 PDF BibTeX XML Cite \textit{O. A. Olejnik} et al., Math. USSR, Sb. 48, 19--39 (1984; Zbl 0534.73013) Full Text: DOI
Conca, Carlos Homogénéisation des équations de Stokes et de Navier-Stokes dans des domaines perforés périodiquement avec des conditions aux limites de type Fourier. (Homogenization of Stokes and Navier-Stokes equations in periodically perforated domains with boundary conditions of Fourier type). (French) Zbl 0566.35079 C. R. Acad. Sci., Paris, Sér. I 297, 249-252 (1983). MSC: 35Q30 35C20 PDF BibTeX XML Cite \textit{C. Conca}, C. R. Acad. Sci., Paris, Sér. I 297, 249--252 (1983; Zbl 0566.35079)