He, Xiang Prescription of finite Dirichlet eigenvalues and area on surface with boundary. (English) Zbl 07812421 J. Geom. Phys. 198, Article ID 105100, 12 p. (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 58J50 58C40 PDFBibTeX XMLCite \textit{X. He}, J. Geom. Phys. 198, Article ID 105100, 12 p. (2024; Zbl 07812421) Full Text: DOI arXiv
Colbois, Bruno; Girouard, Alexandre; Gordon, Carolyn; Sher, David Some recent developments on the Steklov eigenvalue problem. (English) Zbl 07800518 Rev. Mat. Complut. 37, No. 1, 1-161 (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 58C40 58J50 35P05 35P15 35P20 35P30 53A10 53C21 58J53 58-02 53-02 PDFBibTeX XMLCite \textit{B. Colbois} et al., Rev. Mat. Complut. 37, No. 1, 1--161 (2024; Zbl 07800518) Full Text: DOI arXiv OA License
Bramati, Roberto; Dalla Riva, Matteo; Luzzini, Paolo; Musolino, Paolo The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation. (English) Zbl 07787937 Adv. Differ. Equ. 29, No. 1-2, 27-68 (2024). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{R. Bramati} et al., Adv. Differ. Equ. 29, No. 1--2, 27--68 (2024; Zbl 07787937) Full Text: DOI arXiv Link
Abatangelo, Laura; Léna, Corentin; Musolino, Paolo Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case. (English) Zbl 1527.35191 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113391, 34 p. (2024). MSC: 35P15 31C15 31B10 35B25 35C20 35J25 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113391, 34 p. (2024; Zbl 1527.35191) Full Text: DOI arXiv
Rösler, Frank; Stepanenko, Alexei Computing eigenvalues of the Laplacian on rough domains. (English) Zbl 1527.65123 Math. Comput. 93, No. 345, 111-161 (2024). MSC: 65N25 65N30 35P15 28A80 47F10 PDFBibTeX XMLCite \textit{F. Rösler} and \textit{A. Stepanenko}, Math. Comput. 93, No. 345, 111--161 (2024; Zbl 1527.65123) Full Text: DOI arXiv
Barseghyan, Diana; Schneider, Baruch; Bernstein, Swanhild Magnetic Neumann Laplacian on a domain with a hole. (English) Zbl 07801679 Rep. Math. Phys. 92, No. 3, 259-278 (2023). MSC: 35-XX 82-XX PDFBibTeX XMLCite \textit{D. Barseghyan} et al., Rep. Math. Phys. 92, No. 3, 259--278 (2023; Zbl 07801679) Full Text: DOI arXiv
Barseghyan, Diana; Schneider, Baruch Spectral convergence of the Laplace operator with Robin boundary conditions on a small hole. (English) Zbl 1525.58010 Mediterr. J. Math. 20, No. 6, Paper No. 304, 18 p. (2023). Reviewer: Jacob Shapiro (Dayton) MSC: 58J50 35P15 47A10 PDFBibTeX XMLCite \textit{D. Barseghyan} and \textit{B. Schneider}, Mediterr. J. Math. 20, No. 6, Paper No. 304, 18 p. (2023; Zbl 1525.58010) Full Text: DOI arXiv OA License
Cardone, Giuseppe; Khrabustovskyi, Andrii Spectrum of the Laplacian on a domain perturbed by small resonators. (English) Zbl 1522.35347 SIAM J. Math. Anal. 55, No. 4, 3677-3712 (2023). MSC: 35P05 35P15 35B27 35B34 35J05 35J25 PDFBibTeX XMLCite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, SIAM J. Math. Anal. 55, No. 4, 3677--3712 (2023; Zbl 1522.35347) Full Text: DOI arXiv
Kerner, Joachim; Täufer, Matthias On the spectral gap of higher-dimensional Schrödinger operators on large domains. (English) Zbl 1522.35528 Asymptotic Anal. 133, No. 1-2, 77-89 (2023). MSC: 35Q99 35P15 35J10 33C10 35B40 PDFBibTeX XMLCite \textit{J. Kerner} and \textit{M. Täufer}, Asymptotic Anal. 133, No. 1--2, 77--89 (2023; Zbl 1522.35528) Full Text: DOI arXiv
Jing, Wenjia Convergence rate for the homogenization of diffusions in dilutely perforated domains with reflecting boundaries. (English) Zbl 1515.35036 Minimax Theory Appl. 8, No. 1, 85-108 (2023). MSC: 35B27 35J08 35J25 PDFBibTeX XMLCite \textit{W. Jing}, Minimax Theory Appl. 8, No. 1, 85--108 (2023; Zbl 1515.35036) Full Text: arXiv Link
Feppon, Florian; Ammari, Habib Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes. (English) Zbl 1514.35021 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 491-543 (2023). MSC: 35B27 35B34 35P25 35J05 35C20 46T25 PDFBibTeX XMLCite \textit{F. Feppon} and \textit{H. Ammari}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 491--543 (2023; Zbl 1514.35021) Full Text: DOI
Behrndt, Jussi; Khrabustovskyi, Andrii Construction of self-adjoint differential operators with prescribed spectral properties. (English) Zbl 1525.34001 Math. Nachr. 295, No. 6, 1063-1095 (2022). MSC: 34-02 34L05 34L40 35J10 35P05 47E05 47F05 58J50 PDFBibTeX XMLCite \textit{J. Behrndt} and \textit{A. Khrabustovskyi}, Math. Nachr. 295, No. 6, 1063--1095 (2022; Zbl 1525.34001) Full Text: DOI arXiv OA License
Post, Olaf; Zimmer, Sebastian Generalised norm resolvent convergence: comparison of different concepts. (English) Zbl 07722578 J. Spectr. Theory 12, No. 4, 1459-1506 (2022). MSC: 47A55 47A58 PDFBibTeX XMLCite \textit{O. Post} and \textit{S. Zimmer}, J. Spectr. Theory 12, No. 4, 1459--1506 (2022; Zbl 07722578) Full Text: DOI arXiv
Feppon, Florian; Ammari, Habib High order topological asymptotics: reconciling layer potentials and compound asymptotic expansions. (English) Zbl 1501.35033 Multiscale Model. Simul. 20, No. 3, 957-1001 (2022). MSC: 35B27 35B10 35B40 35J05 35J25 45M05 PDFBibTeX XMLCite \textit{F. Feppon} and \textit{H. Ammari}, Multiscale Model. Simul. 20, No. 3, 957--1001 (2022; Zbl 1501.35033) Full Text: DOI
Abatangelo, Laura; Léna, Corentin; Musolino, Paolo Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains. (English) Zbl 1507.35126 J. Funct. Anal. 283, No. 12, Article ID 109718, 50 p. (2022). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35P20 31C15 31B10 35B25 35C20 35J25 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., J. Funct. Anal. 283, No. 12, Article ID 109718, 50 p. (2022; Zbl 1507.35126) Full Text: DOI arXiv
Khrabustovskyi, Andrii; Plum, Michael Operator estimates for homogenization of the Robin Laplacian in a perforated domain. (English) Zbl 1502.35009 J. Differ. Equations 338, 474-517 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35B40 35J25 35P05 47A55 PDFBibTeX XMLCite \textit{A. Khrabustovskyi} and \textit{M. Plum}, J. Differ. Equations 338, 474--517 (2022; Zbl 1502.35009) Full Text: DOI arXiv
Medvedev, Vladimir Degenerating sequences of conformal classes and the conformal Steklov spectrum. (English) Zbl 1500.53045 Can. J. Math. 74, No. 4, 1093-1136 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C18 35P15 PDFBibTeX XMLCite \textit{V. Medvedev}, Can. J. Math. 74, No. 4, 1093--1136 (2022; Zbl 1500.53045) Full Text: DOI arXiv
Mukherjee, Mayukh; Saha, Soumyajit Nodal sets of Laplace eigenfunctions under small perturbations. (English) Zbl 1495.35132 Math. Ann. 383, No. 1-2, 475-491 (2022). MSC: 35P05 35B05 35B20 35J05 58J05 58J50 PDFBibTeX XMLCite \textit{M. Mukherjee} and \textit{S. Saha}, Math. Ann. 383, No. 1--2, 475--491 (2022; Zbl 1495.35132) Full Text: DOI arXiv
Krikorian, Raphaël On the divergence of Birkhoff normal forms. (English) Zbl 1501.37065 Publ. Math., Inst. Hautes Étud. Sci. 135, 1-181 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J11 37J12 PDFBibTeX XMLCite \textit{R. Krikorian}, Publ. Math., Inst. Hautes Étud. Sci. 135, 1--181 (2022; Zbl 1501.37065) Full Text: DOI arXiv
Barseghyan, Diana; Schneider, Baruch; Hai, Ly Hong Neumann Laplacian in a perturbed domain. (English) Zbl 1493.58012 Mediterr. J. Math. 19, No. 3, Paper No. 126, 17 p. (2022). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 58J50 35P15 47A10 PDFBibTeX XMLCite \textit{D. Barseghyan} et al., Mediterr. J. Math. 19, No. 3, Paper No. 126, 17 p. (2022; Zbl 1493.58012) Full Text: DOI arXiv
Girouard, Alexandre; Lagacé, Jean Large Steklov eigenvalues via homogenisation on manifolds. (English) Zbl 1477.58019 Invent. Math. 226, No. 3, 1011-1056 (2021). MSC: 58J50 35P15 53C42 PDFBibTeX XMLCite \textit{A. Girouard} and \textit{J. Lagacé}, Invent. Math. 226, No. 3, 1011--1056 (2021; Zbl 1477.58019) Full Text: DOI arXiv
Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. (English) Zbl 1480.35305 Geom. Funct. Anal. 31, No. 3, 513-561 (2021). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 35P15 35J25 35R01 58J05 58J50 PDFBibTeX XMLCite \textit{A. Girouard} et al., Geom. Funct. Anal. 31, No. 3, 513--561 (2021; Zbl 1480.35305) Full Text: DOI arXiv
Byeon, Jaeyoung; Jin, Sangdon Conformal rigidity and non-rigidity of the scalar curvature on Riemannian manifolds. (English) Zbl 1475.53049 J. Geom. Anal. 31, No. 10, 9745-9767 (2021). MSC: 53C24 53C21 53C18 PDFBibTeX XMLCite \textit{J. Byeon} and \textit{S. Jin}, J. Geom. Anal. 31, No. 10, 9745--9767 (2021; Zbl 1475.53049) Full Text: DOI
Farsi, Carla; Proctor, Emily; Seaton, Christopher Approximating orbifold spectra using collapsing connected sums. (English) Zbl 1471.58036 J. Geom. Anal. 31, No. 10, 9433-9468 (2021). MSC: 58J53 57R18 53C20 58A14 PDFBibTeX XMLCite \textit{C. Farsi} et al., J. Geom. Anal. 31, No. 10, 9433--9468 (2021; Zbl 1471.58036) Full Text: DOI arXiv
Anné, Colette; Post, Olaf Wildly perturbed manifolds: norm resolvent and spectral convergence. (English) Zbl 1469.58018 J. Spectr. Theory 11, No. 1, 229-279 (2021). MSC: 58J50 35P15 53C23 PDFBibTeX XMLCite \textit{C. Anné} and \textit{O. Post}, J. Spectr. Theory 11, No. 1, 229--279 (2021; Zbl 1469.58018) Full Text: DOI arXiv
Abatangelo, Laura; Bonnaillie-Noël, Virginie; Léna, Corentin; Musolino, Paolo Asymptotic behavior of \(u\)-capacities and singular perturbations for the Dirichlet-Laplacian. (English) Zbl 1468.35100 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S25, 43 p. (2021). MSC: 35P15 35P20 31C15 31B10 35B25 35C20 35J25 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S25, 43 p. (2021; Zbl 1468.35100) Full Text: DOI arXiv
Stollmann, Peter; Stolz, Günter Lower bounds for Dirichlet Laplacians and uncertainty principles. (English) Zbl 1467.81048 J. Eur. Math. Soc. (JEMS) 23, No. 7, 2337-2360 (2021). MSC: 81Q10 35J10 81S07 PDFBibTeX XMLCite \textit{P. Stollmann} and \textit{G. Stolz}, J. Eur. Math. Soc. (JEMS) 23, No. 7, 2337--2360 (2021; Zbl 1467.81048) Full Text: DOI arXiv
Rösler, Frank A strange vertex condition coming from nowhere. (English) Zbl 1468.35015 SIAM J. Math. Anal. 53, No. 3, 3098-3122 (2021). Reviewer: Vivek Tewary (Bangalore) MSC: 35B27 35P05 35J05 47A10 35J25 35R02 PDFBibTeX XMLCite \textit{F. Rösler}, SIAM J. Math. Anal. 53, No. 3, 3098--3122 (2021; Zbl 1468.35015) Full Text: DOI arXiv
Pereira, Marcone C.; Sastre-Gomez, Silvia Nonlocal and nonlinear evolution equations in perforated domains. (English) Zbl 1460.45004 J. Math. Anal. Appl. 495, No. 2, Article ID 124729, 21 p. (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 45K05 35B27 45M05 PDFBibTeX XMLCite \textit{M. C. Pereira} and \textit{S. Sastre-Gomez}, J. Math. Anal. Appl. 495, No. 2, Article ID 124729, 21 p. (2021; Zbl 1460.45004) Full Text: DOI arXiv
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean From Steklov to Neumann via homogenisation. (English) Zbl 1458.35040 Arch. Ration. Mech. Anal. 239, No. 2, 981-1023 (2021). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35P05 35J25 PDFBibTeX XMLCite \textit{A. Girouard} et al., Arch. Ration. Mech. Anal. 239, No. 2, 981--1023 (2021; Zbl 1458.35040) Full Text: DOI arXiv
Abatangelo, Laura; Felli, Veronica; Noris, Benedetta On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets. (English) Zbl 1456.31007 Commun. Contemp. Math. 22, No. 8, Article ID 1950071, 32 p. (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 31C15 35P20 35R11 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., Commun. Contemp. Math. 22, No. 8, Article ID 1950071, 32 p. (2020; Zbl 1456.31007) Full Text: DOI arXiv
Matthiesen, Henrik; Siffert, Anna Sharp asymptotics of the first eigenvalue on some degenerating surfaces. (English) Zbl 1439.35352 Trans. Am. Math. Soc. 373, No. 8, 5903-5936 (2020). MSC: 35P15 49Q05 49Q10 58E11 PDFBibTeX XMLCite \textit{H. Matthiesen} and \textit{A. Siffert}, Trans. Am. Math. Soc. 373, No. 8, 5903--5936 (2020; Zbl 1439.35352) Full Text: DOI arXiv
Murat, François; Sili, Ali A remark about the periodic homogenization of certain composite fibered media. (English) Zbl 1441.35028 Netw. Heterog. Media 15, No. 1, 125-142 (2020). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35B40 76M50 74K10 PDFBibTeX XMLCite \textit{F. Murat} and \textit{A. Sili}, Netw. Heterog. Media 15, No. 1, 125--142 (2020; Zbl 1441.35028) Full Text: DOI
Pereira, Marcone C.; Rossi, Julio D. Nonlocal problems in perforated domains. (English) Zbl 1444.35019 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 305-340 (2020). Reviewer: Marcus Waurick (Glasgow) MSC: 35B27 35R09 45A05 45C05 45M05 PDFBibTeX XMLCite \textit{M. C. Pereira} and \textit{J. D. Rossi}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 305--340 (2020; Zbl 1444.35019) Full Text: DOI arXiv
Qin, Zengyun Harmonic fields and Maxwell equations on perforated domains. (English) Zbl 1436.35016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111663, 26 p. (2020). MSC: 35A27 35J20 35J25 35J50 35J57 35Q61 35B40 PDFBibTeX XMLCite \textit{Z. Qin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111663, 26 p. (2020; Zbl 1436.35016) Full Text: DOI
Orsina, Luigi; Ponce, Augusto C. On the nonexistence of Green’s function and failure of the strong maximum principle. (English. French summary) Zbl 1439.35148 J. Math. Pures Appl. (9) 134, 72-121 (2020). MSC: 35J10 35J08 35B50 PDFBibTeX XMLCite \textit{L. Orsina} and \textit{A. C. Ponce}, J. Math. Pures Appl. (9) 134, 72--121 (2020; Zbl 1439.35148) Full Text: DOI arXiv
Abatangelo, Laura; Felli, Veronica; Hillairet, Luc; Léna, Corentin Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators. (English) Zbl 1419.35143 J. Spectr. Theory 9, No. 2, 379-427 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35P20 31C15 35P15 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., J. Spectr. Theory 9, No. 2, 379--427 (2019; Zbl 1419.35143) Full Text: DOI arXiv
Baxter, J. R.; Hernandez, M. Nielsen Stopping time convergence for processes associated with Dirichlet forms. (English) Zbl 1442.60076 Potential Anal. 50, No. 2, 245-277 (2019). MSC: 60J45 60K37 35J25 PDFBibTeX XMLCite \textit{J. R. Baxter} and \textit{M. N. Hernandez}, Potential Anal. 50, No. 2, 245--277 (2019; Zbl 1442.60076) Full Text: DOI arXiv
Collins, Craig D.; Taylor, Justin L. Eigenvalue convergence on perturbed Lipschitz domains for elliptic systems with mixed general decompositions of the boundary. (English) Zbl 1409.35155 J. Differ. Equations 265, No. 12, 6187-6209 (2018). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35P15 35J57 PDFBibTeX XMLCite \textit{C. D. Collins} and \textit{J. L. Taylor}, J. Differ. Equations 265, No. 12, 6187--6209 (2018; Zbl 1409.35155) Full Text: DOI
Semin, Adrien; Delourme, Bérangère; Schmidt, Kersten On the homogenization of the Helmholtz problem with thin perforated walls of finite length. (English) Zbl 1397.32004 ESAIM, Math. Model. Numer. Anal. 52, No. 1, 29-67 (2018). MSC: 32J05 35C20 35J20 PDFBibTeX XMLCite \textit{A. Semin} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 1, 29--67 (2018; Zbl 1397.32004) Full Text: DOI arXiv
Ueki, Naomasa Stochastic analysis and random Schrödinger operators. (English. Japanese original) Zbl 1393.82008 Sugaku Expo. 31, No. 1, 93-115 (2018); translation from Sūgaku 66, No. 4, 392-412 (2014). MSC: 82B44 60H25 60H07 60F10 82C22 PDFBibTeX XMLCite \textit{N. Ueki}, Sugaku Expo. 31, No. 1, 93--115 (2018; Zbl 1393.82008); translation from Sūgaku 66, No. 4, 392--412 (2014) Full Text: DOI
Pereira, Marcone C.; Rossi, Julio D. An obstacle problem for nonlocal equations in perforated domains. (English) Zbl 1398.45001 Potential Anal. 48, No. 3, 361-373 (2018). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 45A05 45M05 49J40 PDFBibTeX XMLCite \textit{M. C. Pereira} and \textit{J. D. Rossi}, Potential Anal. 48, No. 3, 361--373 (2018; Zbl 1398.45001) Full Text: DOI
Dabrowski, Alexander Explicit terms in the small volume expansion of the shift of Neumann Laplacian eigenvalues due to a grounded inclusion in two dimensions. (English) Zbl 1516.35280 J. Math. Anal. Appl. 456, No. 2, 731-744 (2017). MSC: 35P15 35C20 35J25 PDFBibTeX XMLCite \textit{A. Dabrowski}, J. Math. Anal. Appl. 456, No. 2, 731--744 (2017; Zbl 1516.35280) Full Text: DOI
Wróblewska-Kamińska, Aneta The asymptotic analysis of the complete fluid system on a varying domain: from the compressible to the incompressible flow. (English) Zbl 1375.35407 SIAM J. Math. Anal. 49, No. 5, 3299-3334 (2017). MSC: 35Q35 35Q30 35D30 35B40 76Q05 PDFBibTeX XMLCite \textit{A. Wróblewska-Kamińska}, SIAM J. Math. Anal. 49, No. 5, 3299--3334 (2017; Zbl 1375.35407) Full Text: DOI
Cardone, Giuseppe; Khrabustovskyi, Andrii Spectrum of a singularly perturbed periodic thin waveguide. (English) Zbl 1372.35195 J. Math. Anal. Appl. 454, No. 2, 673-694 (2017). MSC: 35P15 35P25 PDFBibTeX XMLCite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, J. Math. Anal. Appl. 454, No. 2, 673--694 (2017; Zbl 1372.35195) Full Text: DOI arXiv
Biskup, Marek; Fukushima, Ryoki; König, Wolfgang Eigenvalue fluctuations for lattice Anderson Hamiltonians. (English) Zbl 1345.60058 SIAM J. Math. Anal. 48, No. 4, 2674-2700 (2016). MSC: 60H25 60F05 47B80 47A75 35P20 82B44 47H40 PDFBibTeX XMLCite \textit{M. Biskup} et al., SIAM J. Math. Anal. 48, No. 4, 2674--2700 (2016; Zbl 1345.60058) Full Text: DOI arXiv
Alsaedi, Ahmed; Ahmad, Bashir; Challa, Durga Prasad; Kirane, Mokhtar; Sini, Mourad A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. (English) Zbl 1375.35285 Math. Methods Appl. Sci. 39, No. 13, 3607-3622 (2016). MSC: 35P25 76Q05 35J05 35J25 PDFBibTeX XMLCite \textit{A. Alsaedi} et al., Math. Methods Appl. Sci. 39, No. 13, 3607--3622 (2016; Zbl 1375.35285) Full Text: DOI arXiv
Jimbo, Shuichi Eigenvalues of the Laplacian in a domain with a thin tubular hole. (English) Zbl 1391.35299 J. Elliptic Parabol. Equ. 1, No. 1, 137-174 (2015). MSC: 35P15 35J05 35P20 PDFBibTeX XMLCite \textit{S. Jimbo}, J. Elliptic Parabol. Equ. 1, No. 1, 137--174 (2015; Zbl 1391.35299) Full Text: DOI
Chapman, S. Jonathan; Hewett, David P.; Trefethen, Lloyd N. Mathematics of the Faraday cage. (English) Zbl 1339.31001 SIAM Rev. 57, No. 3, 398-417 (2015). MSC: 31A35 78A30 PDFBibTeX XMLCite \textit{S. J. Chapman} et al., SIAM Rev. 57, No. 3, 398--417 (2015; Zbl 1339.31001) Full Text: DOI
Cardone, Giuseppe; Khrabustovskyi, Andrii Neumann spectral problem in a domain with very corrugated boundary. (English) Zbl 1443.35009 J. Differ. Equations 259, No. 6, 2333-2367 (2015). Reviewer: Denis Borisov (Ufa) MSC: 35B27 35P05 35J25 PDFBibTeX XMLCite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, J. Differ. Equations 259, No. 6, 2333--2367 (2015; Zbl 1443.35009) Full Text: DOI arXiv
Abatangelo, Laura; Felli, Veronica; Terracini, Susanna Singularity of eigenfunctions at the junction of shrinking tubes. Part II. (English) Zbl 1290.35155 J. Differ. Equations 256, No. 10, 3301-3334 (2014). Reviewer: Rodica Luca (Iaşi) MSC: 35P05 35B40 35J25 35B20 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., J. Differ. Equations 256, No. 10, 3301--3334 (2014; Zbl 1290.35155) Full Text: DOI arXiv
Felli, Veronica; Terracini, Susanna Singularity of eigenfunctions at the junction of shrinking tubes. I. (English) Zbl 1283.35057 J. Differ. Equations 255, No. 4, 633-700 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35P05 35B40 35J25 35B20 PDFBibTeX XMLCite \textit{V. Felli} and \textit{S. Terracini}, J. Differ. Equations 255, No. 4, 633--700 (2013; Zbl 1283.35057) Full Text: DOI arXiv
Feireisl, Eduard; Karper, Trygve; Kreml, Ondřej; Stebel, Jan Stability with respect to domain of the low Mach number limit of compressible viscous fluids. (English) Zbl 1286.35194 Math. Models Methods Appl. Sci. 23, No. 13, 2465-2493 (2013). Reviewer: Zhigang Wu (Shanghai) MSC: 35Q30 35B25 35J05 76D05 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Math. Models Methods Appl. Sci. 23, No. 13, 2465--2493 (2013; Zbl 1286.35194) Full Text: DOI arXiv
Taylor, Justin L. Convergence of Dirichlet eigenvalues for elliptic systems on perturbed domains. (English) Zbl 1333.35134 J. Spectr. Theory 3, No. 3, 293-316 (2013). MSC: 35P15 35J57 PDFBibTeX XMLCite \textit{J. L. Taylor}, J. Spectr. Theory 3, No. 3, 293--316 (2013; Zbl 1333.35134) Full Text: DOI arXiv
Lanza de Cristoforis, Massimo Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole. (English) Zbl 1302.35272 Rev. Mat. Complut. 25, No. 2, 369-412 (2012). MSC: 35P15 31B10 45F15 47H30 PDFBibTeX XMLCite \textit{M. Lanza de Cristoforis}, Rev. Mat. Complut. 25, No. 2, 369--412 (2012; Zbl 1302.35272) Full Text: DOI
Strömqvist, Martin H. Optimal control of the obstacle problem in a perforated domain. (English) Zbl 1346.49014 Appl. Math. Optim. 66, No. 2, 239-255 (2012). MSC: 49J40 49J20 49K20 49K40 35B27 PDFBibTeX XMLCite \textit{M. H. Strömqvist}, Appl. Math. Optim. 66, No. 2, 239--255 (2012; Zbl 1346.49014) Full Text: DOI
Focardi, Matteo \(\Gamma \)-convergence: a tool to investigate physical phenomena across scales. (English) Zbl 1325.49019 Math. Methods Appl. Sci. 35, No. 14, 1613-1658 (2012). MSC: 49J45 35J60 74B05 28A75 PDFBibTeX XMLCite \textit{M. Focardi}, Math. Methods Appl. Sci. 35, No. 14, 1613--1658 (2012; Zbl 1325.49019) Full Text: DOI
Khrabustovskyi, Andrii Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator. (English) Zbl 1252.58016 J. Differ. Equations 252, No. 3, 2339-2369 (2012). MSC: 58J50 PDFBibTeX XMLCite \textit{A. Khrabustovskyi}, J. Differ. Equations 252, No. 3, 2339--2369 (2012; Zbl 1252.58016) Full Text: DOI arXiv
Douanla, Hermann Two-scale convergence of Stekloff eigenvalue problems in perforated domains. (English) Zbl 1214.47020 Bound. Value Probl. 2010, Article ID 853717, 15 p. (2010). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 47A75 47F05 PDFBibTeX XMLCite \textit{H. Douanla}, Bound. Value Probl. 2010, Article ID 853717, 15 p. (2010; Zbl 1214.47020) Full Text: DOI EuDML
Focardi, Matteo Aperiodic fractional obstacle problems. (English) Zbl 1213.49022 Adv. Math. 225, No. 6, 3502-3544 (2010). MSC: 49J45 35R35 47N10 PDFBibTeX XMLCite \textit{M. Focardi}, Adv. Math. 225, No. 6, 3502--3544 (2010; Zbl 1213.49022) Full Text: DOI arXiv
San Martín, Jorge; Smaranda, Loredana Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains. (English) Zbl 1219.35160 Z. Angew. Math. Phys. 61, No. 3, 401-424 (2010). Reviewer: N. G. Tomin (Ivanovo) MSC: 35P20 35B27 35C20 35J05 47A55 PDFBibTeX XMLCite \textit{J. San Martín} and \textit{L. Smaranda}, Z. Angew. Math. Phys. 61, No. 3, 401--424 (2010; Zbl 1219.35160) Full Text: DOI Link
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib Layer potential techniques in spectral analysis. I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions. (English) Zbl 1195.35234 Trans. Am. Math. Soc. 362, No. 6, 2901-2922 (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 35P10 30E15 35J05 35B40 78A48 PDFBibTeX XMLCite \textit{H. Ammari} et al., Trans. Am. Math. Soc. 362, No. 6, 2901--2922 (2010; Zbl 1195.35234) Full Text: DOI
Focardi, Matteo; Gelli, M. S.; Ponsiglione, M. Fracture mechanics in perforated domains: a variational model for brittle porous media. (English) Zbl 1423.74821 Math. Models Methods Appl. Sci. 19, No. 11, 2065-2100 (2009). MSC: 74R10 74Q15 74F10 74E30 35R05 74S30 26A45 PDFBibTeX XMLCite \textit{M. Focardi} et al., Math. Models Methods Appl. Sci. 19, No. 11, 2065--2100 (2009; Zbl 1423.74821) Full Text: DOI
Focardi, Matteo Homogenization of random fractional obstacle problems via \(\Gamma \)-convergence. (English) Zbl 1184.35033 Commun. Partial Differ. Equations 34, No. 12, 1607-1631 (2009). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 49J45 PDFBibTeX XMLCite \textit{M. Focardi}, Commun. Partial Differ. Equations 34, No. 12, 1607--1631 (2009; Zbl 1184.35033) Full Text: DOI arXiv
Jiang, Fei; Tan, Zhong On the domain dependence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow. (English) Zbl 1188.35131 Math. Methods Appl. Sci. 32, No. 18, 2350-2367 (2009). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q30 35B30 76N10 PDFBibTeX XMLCite \textit{F. Jiang} and \textit{Z. Tan}, Math. Methods Appl. Sci. 32, No. 18, 2350--2367 (2009; Zbl 1188.35131) Full Text: DOI
Fukushima, Ryoki Brownian survival and Lifshitz tail in perturbed lattice disorder. (English) Zbl 1163.60045 J. Funct. Anal. 256, No. 9, 2867-2893 (2009). MSC: 60K35 60K37 82B44 PDFBibTeX XMLCite \textit{R. Fukushima}, J. Funct. Anal. 256, No. 9, 2867--2893 (2009; Zbl 1163.60045) Full Text: DOI arXiv
Ben-Ari, Iddo The asymptotic shift for the principal eigenvalue for second order elliptic operators in the presence of small obstacles. (English) Zbl 1172.35044 Isr. J. Math. 169, 181-220 (2009). Reviewer: Petru A. Cojuhari (Kraków) MSC: 35P05 47F05 PDFBibTeX XMLCite \textit{I. Ben-Ari}, Isr. J. Math. 169, 181--220 (2009; Zbl 1172.35044) Full Text: DOI
Cavalcante, Marcos P. A. The \(r\)-stability of hypersurfaces with zero Gauss-Kronecker curvature. (English) Zbl 1128.53034 Proc. Am. Math. Soc. 136, No. 1, 287-294 (2008). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53C42 53A07 35P15 PDFBibTeX XMLCite \textit{M. P. A. Cavalcante}, Proc. Am. Math. Soc. 136, No. 1, 287--294 (2008; Zbl 1128.53034) Full Text: DOI
Fernández Bonder, J.; Orive, R.; Rossi, J. D. The best Sobolev trace constant in domains with holes for critical or subcritical exponents. (English) Zbl 1144.35338 ANZIAM J. 49, No. 2, 213-230 (2007). MSC: 35B33 35B27 35J65 46E35 PDFBibTeX XMLCite \textit{J. Fernández Bonder} et al., ANZIAM J. 49, No. 2, 213--230 (2007; Zbl 1144.35338) Full Text: DOI
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae Asymptotic expansions for eigenvalues of the Lamé system in the presence of small inclusions. (English) Zbl 1136.35058 Commun. Partial Differ. Equations 32, No. 11, 1715-1736 (2007). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 35P10 35Q72 74B05 PDFBibTeX XMLCite \textit{H. Ammari} et al., Commun. Partial Differ. Equations 32, No. 11, 1715--1736 (2007; Zbl 1136.35058) Full Text: DOI
Freitas, P.; Krejčiřík, D. Waveguides with combined Dirichlet and Robin boundary conditions. (English) Zbl 1151.35061 Math. Phys. Anal. Geom. 9, No. 4, 335-352 (2006). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 35P15 81Q10 PDFBibTeX XMLCite \textit{P. Freitas} and \textit{D. Krejčiřík}, Math. Phys. Anal. Geom. 9, No. 4, 335--352 (2006; Zbl 1151.35061) Full Text: DOI arXiv
Hempel, Rainer On the lowest eigenvalue of the Laplacian with Neumann boundary condition at a small obstacle. (English) Zbl 1091.35047 J. Comput. Appl. Math. 194, No. 1, 54-74 (2006). MSC: 35P15 35J20 PDFBibTeX XMLCite \textit{R. Hempel}, J. Comput. Appl. Math. 194, No. 1, 54--74 (2006; Zbl 1091.35047) Full Text: DOI
Niethammer, B.; Velázquez, J. J. L. Screening in interacting particle systems. (English) Zbl 1113.82049 Arch. Ration. Mech. Anal. 180, No. 3, 493-506 (2006). Reviewer: Anton Bovier (Berlin) MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{B. Niethammer} and \textit{J. J. L. Velázquez}, Arch. Ration. Mech. Anal. 180, No. 3, 493--506 (2006; Zbl 1113.82049) Full Text: DOI
Bertrand, J.; Colbois, B. Capacity and Faber-Krahn inequality in \(\mathbb R^{n}\). (Capacité et inégalité de Faber-Krahn dans \(\mathbb R^{n}\).) (French) Zbl 1100.31005 J. Funct. Anal. 232, No. 1, 1-28 (2006). Reviewer: Eleutherius Symeonidis (Eichstätt) MSC: 31C15 35P15 58J50 PDFBibTeX XMLCite \textit{J. Bertrand} and \textit{B. Colbois}, J. Funct. Anal. 232, No. 1, 1--28 (2006; Zbl 1100.31005) Full Text: DOI
Biegert, Markus; Daners, Daniel Local and global uniform convergence for elliptic problems on varying domains. (English) Zbl 1170.35377 J. Differ. Equations 223, No. 1, 1-32 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J25 35B27 PDFBibTeX XMLCite \textit{M. Biegert} and \textit{D. Daners}, J. Differ. Equations 223, No. 1, 1--32 (2006; Zbl 1170.35377) Full Text: DOI
Komendarczyk, R. On the contact geometry of nodal sets. (English) Zbl 1156.53318 Trans. Am. Math. Soc. 358, No. 6, 2399-2413 (2006). MSC: 53D10 35J05 58J50 PDFBibTeX XMLCite \textit{R. Komendarczyk}, Trans. Am. Math. Soc. 358, No. 6, 2399--2413 (2006; Zbl 1156.53318) Full Text: DOI arXiv
Ghanmi, Allal; Intissar, Ahmed Asymptotic of complex hyperbolic geometry and \(L^ 2\)-spectral analysis of Landau-like Hamiltonians. (English) Zbl 1076.35084 J. Math. Phys. 46, No. 3, 032107, 26 p. (2005). MSC: 35P20 43A85 47F05 47N50 81Q10 PDFBibTeX XMLCite \textit{A. Ghanmi} and \textit{A. Intissar}, J. Math. Phys. 46, No. 3, 032107, 26 p. (2005; Zbl 1076.35084) Full Text: DOI
Bertrand, Jérôme Stability of the Faber-Krahn inequality in positive Ricci curvature. (Stabilité de l’inégalité de Faber-Krahn en courbure de Ricci positive.) (French) Zbl 1080.53032 Ann. Inst. Fourier 55, No. 2, 353-372 (2005). MSC: 53C24 53C20 58C40 PDFBibTeX XMLCite \textit{J. Bertrand}, Ann. Inst. Fourier 55, No. 2, 353--372 (2005; Zbl 1080.53032) Full Text: DOI Numdam EuDML
Daners, Daniel Perturbation of semi-linear evolution equations under weak assumptions at initial time. (English) Zbl 1088.34054 J. Differ. Equations 210, No. 2, 352-382 (2005). Reviewer: Yongxiang Li (Lanzhou) MSC: 34G20 35K60 35L20 PDFBibTeX XMLCite \textit{D. Daners}, J. Differ. Equations 210, No. 2, 352--382 (2005; Zbl 1088.34054) Full Text: DOI
van den Berg, M.; Bolthausen, E. Area versus capacity and solidification in the crushed ice model. (English) Zbl 1064.60167 Probab. Theory Relat. Fields 130, No. 1, 69-108 (2004). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 31C15 35K05 35R35 60J65 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{E. Bolthausen}, Probab. Theory Relat. Fields 130, No. 1, 69--108 (2004; Zbl 1064.60167) Full Text: DOI
Exner, Pavel; Linde, Helmut; Weidl, Timo Lieb-Thirring inequalities for geometrically induced bound states. (English) Zbl 1059.81039 Lett. Math. Phys. 70, No. 1, 83-95 (2004). MSC: 81Q05 PDFBibTeX XMLCite \textit{P. Exner} et al., Lett. Math. Phys. 70, No. 1, 83--95 (2004; Zbl 1059.81039) Full Text: DOI arXiv
Pinsky, Ross G. Asymptotics of the principal eigenvalue and expected hitting time for positive recurrent elliptic operators in a domain with a small puncture. (English) Zbl 1018.60078 J. Funct. Anal. 200, No. 1, 177-197 (2003). Reviewer: Roman Urban (Wrocław) MSC: 60J60 60J65 35P15 PDFBibTeX XMLCite \textit{R. G. Pinsky}, J. Funct. Anal. 200, No. 1, 177--197 (2003; Zbl 1018.60078) Full Text: DOI
Daners, Daniel Dirichlet problems on varying domains. (English) Zbl 1090.35069 J. Differ. Equations 188, No. 2, 591-624 (2003). MSC: 35J25 35B25 PDFBibTeX XMLCite \textit{D. Daners}, J. Differ. Equations 188, No. 2, 591--624 (2003; Zbl 1090.35069) Full Text: DOI
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid. (English) Zbl 0996.35051 Math. Methods Appl. Sci. 25, No. 12, 1045-1073 (2002). MSC: 35Q30 35B30 76N10 35D05 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Math. Methods Appl. Sci. 25, No. 12, 1045--1073 (2002; Zbl 0996.35051) Full Text: DOI
Takahashi, Junya Collapsing of connected sums and the eigenvalues of the Laplacian. (English) Zbl 1034.58027 J. Geom. Phys. 40, No. 3-4, 201-208 (2002). MSC: 58J50 35P15 35P20 53C23 PDFBibTeX XMLCite \textit{J. Takahashi}, J. Geom. Phys. 40, No. 3--4, 201--208 (2002; Zbl 1034.58027) Full Text: DOI
van den Berg, M. Area versus capacity and independence in the crushed ice model. (English) Zbl 1010.31004 J. Funct. Anal. 189, No. 1, 242-266 (2002). Reviewer: Wolfhard Hansen (Bielefeld) MSC: 31C15 60J65 35K05 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 189, No. 1, 242--266 (2002; Zbl 1010.31004) Full Text: DOI
Sango, Mamadou Averaging of a semilinear elliptic spectral problem in a varying domain. (English) Zbl 1020.35069 Appl. Anal. 80, No. 1-2, 1-17 (2001). MSC: 35P30 35B27 35J20 PDFBibTeX XMLCite \textit{M. Sango}, Appl. Anal. 80, No. 1--2, 1--17 (2001; Zbl 1020.35069) Full Text: DOI
Feireisl, Eduard; Petzeltová, Hana On the domain dependence of solutions to the two-phase Stefan problem. (English) Zbl 1067.35155 Appl. Math., Praha 45, No. 2, 131-144 (2000). Reviewer: Petr Přikryl (Praha) MSC: 35R35 35B30 35K65 PDFBibTeX XMLCite \textit{E. Feireisl} and \textit{H. Petzeltová}, Appl. Math., Praha 45, No. 2, 131--144 (2000; Zbl 1067.35155) Full Text: DOI EuDML
Liu, Yaping Smoothing the domain out for positive solutions. (English) Zbl 0958.35047 Bull. Aust. Math. Soc. 61, No. 3, 405-413 (2000). Reviewer: Ramzet M.Dzhafarov (Donetsk) MSC: 35J65 35R05 35D05 35A05 PDFBibTeX XMLCite \textit{Y. Liu}, Bull. Aust. Math. Soc. 61, No. 3, 405--413 (2000; Zbl 0958.35047) Full Text: DOI
Viêt Hà Hoàng Singularly perturbed Dirichlet problems in randomly perforated domains. (English) Zbl 0946.35025 Commun. Partial Differ. Equations 25, No. 1-2, 355-375 (2000). Reviewer: D.Huet (Nancy) MSC: 35J25 35B25 35R60 PDFBibTeX XMLCite \textit{Viêt Hà Hoàng}, Commun. Partial Differ. Equations 25, No. 1--2, 355--375 (2000; Zbl 0946.35025) Full Text: DOI
Noll, André Domain perturbations, shift of eigenvalues and capacity. (English) Zbl 0951.47011 J. Funct. Anal. 170, No. 1, 246-263 (2000). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47A55 47A75 47F05 35P15 PDFBibTeX XMLCite \textit{A. Noll}, J. Funct. Anal. 170, No. 1, 246--263 (2000; Zbl 0951.47011) Full Text: DOI
Demuth, M.; McGillivray, I. Capacity estimates for the scattering phase. (English) Zbl 0939.35131 J. Math. Anal. Appl. 237, No. 1, 253-271 (1999). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P05 35G05 35J60 PDFBibTeX XMLCite \textit{M. Demuth} and \textit{I. McGillivray}, J. Math. Anal. Appl. 237, No. 1, 253--271 (1999; Zbl 0939.35131) Full Text: DOI
Bucur, Dorin Characterization for the Kuratowski limits of a sequence of Sobolev spaces. (English) Zbl 0924.46028 J. Differ. Equations 151, No. 1, 1-19 (1999). Reviewer: H.Triebel (Jena) MSC: 46E35 PDFBibTeX XMLCite \textit{D. Bucur}, J. Differ. Equations 151, No. 1, 1--19 (1999; Zbl 0924.46028) Full Text: DOI
Dal Maso, Gianni; Skrypnik, Igor V. Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains. (English) Zbl 0991.35034 Ann. Mat. Pura Appl., IV. Ser. 174, 13-72 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 35J65 35B40 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{I. V. Skrypnik}, Ann. Mat. Pura Appl. (4) 174, 13--72 (1998; Zbl 0991.35034) Full Text: DOI
Balzano, Michele; Notarantonio, Lino On the asymptotic behavior of Dirichlet problems in a Riemannian manifold less small random holes. (English) Zbl 0922.31008 Rend. Semin. Mat. Univ. Padova 100, 249-282 (1998). Reviewer: N.Jacob (Erlangen) MSC: 31C12 31C15 53C21 58J37 58J32 58J60 PDFBibTeX XMLCite \textit{M. Balzano} and \textit{L. Notarantonio}, Rend. Semin. Mat. Univ. Padova 100, 249--282 (1998; Zbl 0922.31008) Full Text: Numdam EuDML
Dancer, E. N. Remarks on the pure critical exponent problem. (English) Zbl 0913.35048 Bull. Aust. Math. Soc. 58, No. 2, 333-344 (1998). MSC: 35J65 PDFBibTeX XMLCite \textit{E. N. Dancer}, Bull. Aust. Math. Soc. 58, No. 2, 333--344 (1998; Zbl 0913.35048) Full Text: DOI
Bucur, Dorin; Trebeschi, Paola Shape optimisation problems governed by nonlinear state equations. (English) Zbl 0918.49030 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 5, 945-963 (1998). Reviewer: R.De Arcangelis (Napoli) MSC: 49Q10 49J20 PDFBibTeX XMLCite \textit{D. Bucur} and \textit{P. Trebeschi}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 5, 945--963 (1998; Zbl 0918.49030) Full Text: DOI
Dunyak, James P. Diffusions in perforated domains with mixed boundary conditions. (English) Zbl 0914.60057 Stochastic Anal. Appl. 16, No. 5, 873-893 (1998). Reviewer: M.Iosifescu (Bucureşti) MSC: 60J60 PDFBibTeX XMLCite \textit{J. P. Dunyak}, Stochastic Anal. Appl. 16, No. 5, 873--893 (1998; Zbl 0914.60057) Full Text: DOI
Kaizu, Satoshi Homogenization of eigenvalue problems for the Laplace operator with nonlinear terms in domains in many tiny holes. (English) Zbl 0863.35068 Nonlinear Anal., Theory Methods Appl. 28, No. 2, 377-391 (1997). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P05 35B27 35J05 35B40 35R70 PDFBibTeX XMLCite \textit{S. Kaizu}, Nonlinear Anal., Theory Methods Appl. 28, No. 2, 377--391 (1997; Zbl 0863.35068) Full Text: DOI
Sznitman, Alain-Sol Capacity and principal eigenvalues: The method of enlargement of obstacles revisited. (English) Zbl 0885.60063 Ann. Probab. 25, No. 3, 1180-1209 (1997). Reviewer: X.L.Nguyen (Hanoi) MSC: 60J45 35P15 82D30 PDFBibTeX XMLCite \textit{A.-S. Sznitman}, Ann. Probab. 25, No. 3, 1180--1209 (1997; Zbl 0885.60063) Full Text: DOI