Dung, Nguyen Thac; Pyo, Juncheol; Tran, Hung First stability eigenvalue of singular hypersurfaces with constant mean curvature in the unit sphere. (English) Zbl 07630929 Proc. Am. Math. Soc. 151, No. 2, 795-810 (2023). MSC: 53C24 53C42 PDF BibTeX XML Cite \textit{N. T. Dung} et al., Proc. Am. Math. Soc. 151, No. 2, 795--810 (2023; Zbl 07630929) Full Text: DOI OpenURL
Yuan, Wei Brown-York mass and positive scalar curvature. I: First eigenvalue problem and its applications. (English) Zbl 07615400 Proc. Am. Math. Soc. 151, No. 1, 313-326 (2023). MSC: 53C20 53C21 53C24 PDF BibTeX XML Cite \textit{W. Yuan}, Proc. Am. Math. Soc. 151, No. 1, 313--326 (2023; Zbl 07615400) Full Text: DOI arXiv OpenURL
Mohamed, Abdelrahman; Vassilev, Dimiter The Obata first eigenvalue theorem on a seven-dimensional quaternionic contact manifold. (English) Zbl 07610116 J. Geom. Anal. 33, No. 1, Paper No. 13, 30 p. (2023). MSC: 53C24 53C25 53C17 53C26 53D10 58J50 32V20 PDF BibTeX XML Cite \textit{A. Mohamed} and \textit{D. Vassilev}, J. Geom. Anal. 33, No. 1, Paper No. 13, 30 p. (2023; Zbl 07610116) Full Text: DOI arXiv OpenURL
Li, Xinyang; Mao, Jing; Zeng, Lingzhong Eigenvalues of the bi-drifting Laplacian on the complete noncompact Riemannian manifolds. (English) Zbl 07608700 Z. Angew. Math. Phys. 73, No. 6, Paper No. 240, 19 p. (2022). MSC: 35P15 35J40 35R01 53C40 53C23 PDF BibTeX XML Cite \textit{X. Li} et al., Z. Angew. Math. Phys. 73, No. 6, Paper No. 240, 19 p. (2022; Zbl 07608700) Full Text: DOI OpenURL
Jordán, Tibor; Tanigawa, Shin-ichi Rigidity of random subgraphs and eigenvalues of stiffness matrices. (English) Zbl 1498.05242 SIAM J. Discrete Math. 36, No. 3, 2367-2392 (2022). MSC: 05C80 05C50 05D40 15B52 15A18 52C25 PDF BibTeX XML Cite \textit{T. Jordán} and \textit{S.-i. Tanigawa}, SIAM J. Discrete Math. 36, No. 3, 2367--2392 (2022; Zbl 1498.05242) Full Text: DOI OpenURL
Araújo Filho, Marcio C.; Gomes, José N. V. Estimates of eigenvalues of an elliptic differential system in divergence form. (English) Zbl 07595886 Z. Angew. Math. Phys. 73, No. 5, Paper No. 210, 25 p. (2022). MSC: 47A75 47F05 35P15 53C24 53C25 PDF BibTeX XML Cite \textit{M. C. Araújo Filho} and \textit{J. N. V. Gomes}, Z. Angew. Math. Phys. 73, No. 5, Paper No. 210, 25 p. (2022; Zbl 07595886) Full Text: DOI arXiv OpenURL
Ding, Xiucai; Yang, Fan Edge statistics of large dimensional deformed rectangular matrices. (English) Zbl 1498.60031 J. Multivariate Anal. 192, Article ID 105051, 22 p. (2022). MSC: 60B20 15B52 15A18 62H25 46L54 PDF BibTeX XML Cite \textit{X. Ding} and \textit{F. Yang}, J. Multivariate Anal. 192, Article ID 105051, 22 p. (2022; Zbl 1498.60031) Full Text: DOI arXiv OpenURL
Bertrand, Jerôme; Fathi, Max Stability of eigenvalues and observable diameter in RCD\((1, \infty)\) spaces. (English) Zbl 07577057 J. Geom. Anal. 32, No. 11, Paper No. 270, 38 p. (2022). Reviewer: Shi-Zhong Du (Shantou) MSC: 53C24 58C40 60F05 PDF BibTeX XML Cite \textit{J. Bertrand} and \textit{M. Fathi}, J. Geom. Anal. 32, No. 11, Paper No. 270, 38 p. (2022; Zbl 07577057) Full Text: DOI arXiv OpenURL
Yin, Jiabin; Qi, Xuerong Sharp estimates for the first eigenvalue of Schrödinger operator in the unit sphere. (English) Zbl 1495.53064 Proc. Am. Math. Soc. 150, No. 7, 3087-3101 (2022). MSC: 53C24 53C25 53C42 PDF BibTeX XML Cite \textit{J. Yin} and \textit{X. Qi}, Proc. Am. Math. Soc. 150, No. 7, 3087--3101 (2022; Zbl 1495.53064) Full Text: DOI OpenURL
Lucardesi, Ilaria; Zucco, Davide On Blaschke-Santaló diagrams for the torsional rigidity and the first Dirichlet eigenvalue. (English) Zbl 1486.49056 Ann. Mat. Pura Appl. (4) 201, No. 1, 175-201 (2022). Reviewer: Antoine Henrot (Vandœuvre-lès-Nancy) MSC: 49Q10 49R05 35P15 35J25 PDF BibTeX XML Cite \textit{I. Lucardesi} and \textit{D. Zucco}, Ann. Mat. Pura Appl. (4) 201, No. 1, 175--201 (2022; Zbl 1486.49056) Full Text: DOI arXiv OpenURL
Briani, Luca; Buttazzo, Giuseppe; Prinari, Francesca Inequalities between torsional rigidity and principal eigenvalue of the \(p\)-Laplacian. (English) Zbl 1492.49039 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 78, 25 p. (2022). Reviewer: Alberto Maione (Freiburg im Breisgau) MSC: 49Q10 49J45 49R05 35P15 35J25 PDF BibTeX XML Cite \textit{L. Briani} et al., Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 78, 25 p. (2022; Zbl 1492.49039) Full Text: DOI arXiv OpenURL
El Chami, Fida; Habib, Georges The Bochner formula for Riemannian flows. (English) Zbl 1484.53073 Result. Math. 77, No. 1, Paper No. 25, 24 p. (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C21 53C24 58J50 58J32 PDF BibTeX XML Cite \textit{F. El Chami} and \textit{G. Habib}, Result. Math. 77, No. 1, Paper No. 25, 24 p. (2022; Zbl 1484.53073) Full Text: DOI arXiv OpenURL
van den Berg, Michiel; Buttazzo, Giuseppe; Pratelli, Aldo On relations between principal eigenvalue and torsional rigidity. (English) Zbl 1479.49092 Commun. Contemp. Math. 23, No. 8, Article ID 2050093, 28 p. (2021). MSC: 49Q10 49J45 49R05 35P15 35J25 PDF BibTeX XML Cite \textit{M. van den Berg} et al., Commun. Contemp. Math. 23, No. 8, Article ID 2050093, 28 p. (2021; Zbl 1479.49092) Full Text: DOI arXiv OpenURL
Uskov, Vladimir Igorevich Study of rigidity of a first-order algebro-differential system with perturbation in the right-hand side. (Russian. English summary) Zbl 1488.34337 Vestn. Ross. Univ., Mat. 26, No. 134, 172-181 (2021). MSC: 34G10 34A09 34A12 34E10 PDF BibTeX XML Cite \textit{V. I. Uskov}, Vestn. Ross. Univ., Mat. 26, No. 134, 172--181 (2021; Zbl 1488.34337) Full Text: DOI MNR OpenURL
Anoop, T. V.; Ashok Kumar, K.; Kesavan, S. A shape variation result via the geometry of eigenfunctions. (English) Zbl 1470.35021 J. Differ. Equations 298, 430-462 (2021). MSC: 35B06 35B07 35B50 35B51 35J25 35Q93 49Q10 58J70 PDF BibTeX XML Cite \textit{T. V. Anoop} et al., J. Differ. Equations 298, 430--462 (2021; Zbl 1470.35021) Full Text: DOI arXiv OpenURL
Cioabă, Sebastian M.; Dewar, Sean; Gu, Xiaofeng Spectral conditions for graph rigidity in the Euclidean plane. (English) Zbl 1469.05102 Discrete Math. 344, No. 10, Article ID 112527, 9 p. (2021). MSC: 05C50 05C10 52C25 05C40 PDF BibTeX XML Cite \textit{S. M. Cioabă} et al., Discrete Math. 344, No. 10, Article ID 112527, 9 p. (2021; Zbl 1469.05102) Full Text: DOI arXiv OpenURL
Wu, Peng Correction to: “Einstein four-manifolds of three-nonnegative curvature operator”. (English) Zbl 1473.58008 Math. Z. 298, No. 3-4, 1887 (2021). MSC: 58E11 53C25 53C24 58C40 53C55 53C20 53C30 58J60 PDF BibTeX XML Cite \textit{P. Wu}, Math. Z. 298, No. 3--4, 1887 (2021; Zbl 1473.58008) Full Text: DOI OpenURL
Claeys, T.; Fahs, B.; Lambert, G.; Webb, C. How much can the eigenvalues of a random Hermitian matrix fluctuate? (English) Zbl 1467.60006 Duke Math. J. 170, No. 9, 2085-2235 (2021). MSC: 60B20 35Q15 47B35 60G15 60G57 15A18 15B52 PDF BibTeX XML Cite \textit{T. Claeys} et al., Duke Math. J. 170, No. 9, 2085--2235 (2021; Zbl 1467.60006) Full Text: DOI arXiv OpenURL
Buttazzo, Giuseppe; Pratelli, Aldo An application of the continuous Steiner symmetrization to Blaschke-Santaló diagrams. (English) Zbl 1467.49032 ESAIM, Control Optim. Calc. Var. 27, Paper No. 36, 13 p. (2021). MSC: 49Q10 49J45 49R05 35P15 35J25 26D10 PDF BibTeX XML Cite \textit{G. Buttazzo} and \textit{A. Pratelli}, ESAIM, Control Optim. Calc. Var. 27, Paper No. 36, 13 p. (2021; Zbl 1467.49032) Full Text: DOI arXiv OpenURL
Alt, Johannes; Ducatez, Raphaël; Knowles, Antti Extremal eigenvalues of critical Erdős-Rényi graphs. (English) Zbl 1467.05236 Ann. Probab. 49, No. 3, 1347-1401 (2021). MSC: 05C80 15B52 60B20 PDF BibTeX XML Cite \textit{J. Alt} et al., Ann. Probab. 49, No. 3, 1347--1401 (2021; Zbl 1467.05236) Full Text: DOI arXiv OpenURL
Cui, Qing; Sun, Linlin A note on rigidity of Einstein four-manifolds with positive sectional curvature. (English) Zbl 1465.53062 Manuscr. Math. 165, No. 1-2, 269-282 (2021). MSC: 53C25 53C24 PDF BibTeX XML Cite \textit{Q. Cui} and \textit{L. Sun}, Manuscr. Math. 165, No. 1--2, 269--282 (2021; Zbl 1465.53062) Full Text: DOI OpenURL
Zhang, Yashan Integral inequalities for holomorphic maps and applications. (English) Zbl 1461.53056 Trans. Am. Math. Soc. 374, No. 4, 2341-2358 (2021). MSC: 53C55 53E30 PDF BibTeX XML Cite \textit{Y. Zhang}, Trans. Am. Math. Soc. 374, No. 4, 2341--2358 (2021; Zbl 1461.53056) Full Text: DOI arXiv OpenURL
Pietra, Francesco Della; Piscitelli, Gianpaolo An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes. (English) Zbl 1465.35328 Milan J. Math. 88, No. 2, 373-384 (2020). MSC: 35P30 35P15 47J30 35J92 35J25 PDF BibTeX XML Cite \textit{F. Della Pietra} and \textit{G. Piscitelli}, Milan J. Math. 88, No. 2, 373--384 (2020; Zbl 1465.35328) Full Text: DOI arXiv OpenURL
van den Berg, Michiel; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina On a Pólya functional for rhombi, isosceles triangles, and thinning convex sets. (English) Zbl 1460.52008 Rev. Mat. Iberoam. 36, No. 7, 2091-2105 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 52A20 35P15 47A75 35J25 PDF BibTeX XML Cite \textit{M. van den Berg} et al., Rev. Mat. Iberoam. 36, No. 7, 2091--2105 (2020; Zbl 1460.52008) Full Text: DOI arXiv OpenURL
Zhou, Jundong Rigidity of submanifolds with parallel mean curvature in a hyperbolic space. (Chinese. English summary) Zbl 1463.53057 J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 2, 8-14 (2020). MSC: 53C24 53C42 PDF BibTeX XML Cite \textit{J. Zhou}, J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 2, 8--14 (2020; Zbl 1463.53057) Full Text: DOI OpenURL
Alt, Johannes; Erdős, László; Krüger, Torben The Dyson equation with linear self-energy: spectral bands, edges and cusps. (English) Zbl 1450.60005 Doc. Math. 25, 1421-1539 (2020). MSC: 60B20 46L54 60F05 PDF BibTeX XML Cite \textit{J. Alt} et al., Doc. Math. 25, 1421--1539 (2020; Zbl 1450.60005) Full Text: DOI arXiv OpenURL
Roth, Julien Reilly-type inequalities for Paneitz and Steklov eigenvalues. (English) Zbl 1447.35233 Potential Anal. 53, No. 3, 773-798 (2020). MSC: 35P15 53C20 53C24 53C42 58C40 PDF BibTeX XML Cite \textit{J. Roth}, Potential Anal. 53, No. 3, 773--798 (2020; Zbl 1447.35233) Full Text: DOI HAL OpenURL
Alexandrov, Victor The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in \(\mathbb{R}^d\) does not always remain unaltered during the flex. (English) Zbl 1440.52019 J. Geom. 111, No. 2, Paper No. 32, 14 p. (2020). MSC: 52C25 52B70 51M20 35J05 35P20 58J50 PDF BibTeX XML Cite \textit{V. Alexandrov}, J. Geom. 111, No. 2, Paper No. 32, 14 p. (2020; Zbl 1440.52019) Full Text: DOI arXiv OpenURL
Brasco, Lorenzo; Mazzoleni, Dario On principal frequencies, volume and inradius in convex sets. (English) Zbl 1433.35204 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 12, 26 p. (2020). MSC: 35P15 49J40 47A75 PDF BibTeX XML Cite \textit{L. Brasco} and \textit{D. Mazzoleni}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 12, 26 p. (2020; Zbl 1433.35204) Full Text: DOI arXiv OpenURL
Hu, Yingxiang; Xu, Shicheng 1st eigenvalue pinching for convex hypersurfaces in a Riemannian manifold. (English) Zbl 1443.53017 Proc. Am. Math. Soc. 148, No. 6, 2609-2615 (2020). Reviewer: John Harvey (Cardiff) MSC: 53C20 53C21 53C40 53C24 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{S. Xu}, Proc. Am. Math. Soc. 148, No. 6, 2609--2615 (2020; Zbl 1443.53017) Full Text: DOI arXiv OpenURL
Wu, Peng Einstein four-manifolds of three-nonnegative curvature operator. (English) Zbl 1428.58011 Math. Z. 293, No. 3-4, 1489-1511 (2019); correction ibid. 298, No. 3-4, 1887 (2021). MSC: 58E11 53C25 53C24 58C40 53C55 53C20 53C30 58J60 PDF BibTeX XML Cite \textit{P. Wu}, Math. Z. 293, No. 3--4, 1489--1511 (2019; Zbl 1428.58011) Full Text: DOI OpenURL
Mendes, Abraão Characterization of hypersurfaces via the second eigenvalue of the Jacobi operator. (English) Zbl 1433.53074 Proc. Am. Math. Soc. 147, No. 8, 3515-3521 (2019). Reviewer: Joseph E. Borzellino (San Luis Obispo) MSC: 53C24 PDF BibTeX XML Cite \textit{A. Mendes}, Proc. Am. Math. Soc. 147, No. 8, 3515--3521 (2019; Zbl 1433.53074) Full Text: DOI arXiv OpenURL
Cui, Qing; Sun, Linlin Optimal lower eigenvalue estimates for Hodge-Laplacian and applications. (English) Zbl 1410.58013 J. Differ. Equations 266, No. 12, 8320-8343 (2019). MSC: 58J50 53C24 53C40 PDF BibTeX XML Cite \textit{Q. Cui} and \textit{L. Sun}, J. Differ. Equations 266, No. 12, 8320--8343 (2019; Zbl 1410.58013) Full Text: DOI arXiv OpenURL
Xia, Changyu \(p\)-torsional rigidity and the first eigenvalue of the \(p\)-Laplace operator. (Chinese. English summary) Zbl 1499.52032 Sci. Sin., Math. 48, No. 6, 827-834 (2018). MSC: 52C25 35P15 47A75 PDF BibTeX XML Cite \textit{C. Xia}, Sci. Sin., Math. 48, No. 6, 827--834 (2018; Zbl 1499.52032) Full Text: DOI OpenURL
Dong, Yuxin; Ji, Qingchun; Ren, Yibin Rigidities of Sasakian manifolds with constant pseudo-Hermitian scalar curvature. (Chinese. English summary) Zbl 1499.53204 Sci. Sin., Math. 48, No. 6, 711-724 (2018). MSC: 53C24 53C25 53C21 PDF BibTeX XML Cite \textit{Y. Dong} et al., Sci. Sin., Math. 48, No. 6, 711--724 (2018; Zbl 1499.53204) Full Text: DOI OpenURL
Yin, Songting; Zhang, Pan A Lichnerowicz-Obata-Cheng type theorem on Finsler manifolds. (English) Zbl 1425.53094 Mathematics 6, No. 12, Paper No. 311, 7 p. (2018). MSC: 53C60 53C24 PDF BibTeX XML Cite \textit{S. Yin} and \textit{P. Zhang}, Mathematics 6, No. 12, Paper No. 311, 7 p. (2018; Zbl 1425.53094) Full Text: DOI OpenURL
Henrot, Antoine; Philippin, Gérard On two functionals involving the maximum of the torsion function. (English) Zbl 1442.35281 ESAIM, Control Optim. Calc. Var. 24, No. 4, 1585-1604 (2018). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P15 49R05 35J25 35B27 49Q10 PDF BibTeX XML Cite \textit{A. Henrot} and \textit{G. Philippin}, ESAIM, Control Optim. Calc. Var. 24, No. 4, 1585--1604 (2018; Zbl 1442.35281) Full Text: DOI arXiv OpenURL
El Chami, Fida; Habib, Georges; Makhoul, Ola; Nakad, Roger Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary. (English) Zbl 1402.53022 Ric. Mat. 67, No. 2, 765-784 (2018). MSC: 53C12 53C24 58J50 58J32 PDF BibTeX XML Cite \textit{F. El Chami} et al., Ric. Mat. 67, No. 2, 765--784 (2018; Zbl 1402.53022) Full Text: DOI arXiv OpenURL
Berthé, V.; Dolce, F.; Durand, F.; Leroy, J.; Perrin, D. Rigidity and substitutive dendric words. (English) Zbl 1448.68365 Int. J. Found. Comput. Sci. 29, No. 5, 705-720 (2018). Reviewer: Jean-Paul Allouche (Paris) MSC: 68R15 11B85 37B10 PDF BibTeX XML Cite \textit{V. Berthé} et al., Int. J. Found. Comput. Sci. 29, No. 5, 705--720 (2018; Zbl 1448.68365) Full Text: DOI OpenURL
El Chami, Fida; Habib, Georges; Makhoul, Ola; Nakad, Roger Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary. II. (English) Zbl 1432.53033 Mediterr. J. Math. 15, No. 2, Paper No. 67, 17 p. (2018). MSC: 53C12 53C24 58J50 58J32 PDF BibTeX XML Cite \textit{F. El Chami} et al., Mediterr. J. Math. 15, No. 2, Paper No. 67, 17 p. (2018; Zbl 1432.53033) Full Text: DOI OpenURL
Salavessa, Isabel M. C. Heinz mean curvature estimates in warped product spaces \(M\times _{e^{\psi }}N\). (English) Zbl 1390.53031 Ann. Global Anal. Geom. 53, No. 2, 265-281 (2018). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C21 53C40 53C24 58C40 PDF BibTeX XML Cite \textit{I. M. C. Salavessa}, Ann. Global Anal. Geom. 53, No. 2, 265--281 (2018; Zbl 1390.53031) Full Text: DOI arXiv OpenURL
Mondello, Ilaria An Obata singular theorem for stratified spaces. (English) Zbl 1387.53046 Trans. Am. Math. Soc. 370, No. 6, 4147-4175 (2018). Reviewer: Mohammad Sadegh Shahrokhi-Dehkordi (Tehran) MSC: 53C20 53C25 58C40 58A35 PDF BibTeX XML Cite \textit{I. Mondello}, Trans. Am. Math. Soc. 370, No. 6, 4147--4175 (2018; Zbl 1387.53046) Full Text: DOI arXiv OpenURL
Sun, Jiacheng Rigidity of Hawking mass for surfaces in three manifolds. (English) Zbl 1385.53028 Pac. J. Math. 292, No. 2, 479-504 (2018). Reviewer: Yong Wei (Act) MSC: 53C21 53C24 53C80 58C40 PDF BibTeX XML Cite \textit{J. Sun}, Pac. J. Math. 292, No. 2, 479--504 (2018; Zbl 1385.53028) Full Text: DOI arXiv OpenURL
Buttazzo, Giuseppe; Guarino Lo Bianco, Serena; Marini, Michele Sharp estimates for the anisotropic torsional rigidity and the principal frequency. (English) Zbl 06790531 J. Math. Anal. Appl. 457, No. 2, 1153-1172 (2018). MSC: 35-XX 46-XX PDF BibTeX XML Cite \textit{G. Buttazzo} et al., J. Math. Anal. Appl. 457, No. 2, 1153--1172 (2018; Zbl 06790531) Full Text: DOI arXiv OpenURL
Godsil, Chris; Roberson, David E.; Rooney, Brendan; Šámal, Robert; Varvitsiotis, Antonios Universal completability, least eigenvalue frameworks, and vector colorings. (English) Zbl 1371.05162 Discrete Comput. Geom. 58, No. 2, 265-292 (2017). MSC: 05C50 05C62 05C15 PDF BibTeX XML Cite \textit{C. Godsil} et al., Discrete Comput. Geom. 58, No. 2, 265--292 (2017; Zbl 1371.05162) Full Text: DOI arXiv OpenURL
Nguyen Thac Dung; Seo, Keomkyo \(p\)-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold. (English) Zbl 1379.53056 Ann. Mat. Pura Appl. (4) 196, No. 4, 1489-1511 (2017). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C24 53C21 53C40 PDF BibTeX XML Cite \textit{Nguyen Thac Dung} and \textit{K. Seo}, Ann. Mat. Pura Appl. (4) 196, No. 4, 1489--1511 (2017; Zbl 1379.53056) Full Text: DOI OpenURL
Bui Van Binh; Nguyen Thac Dung; Nguyen Thi Le Hai \(p\)-harmonic functions on complete manifolds with a weighted Poincaré inequality. (English) Zbl 1377.53060 Kodai Math. J. 40, No. 2, 343-357 (2017). Reviewer: Naoya Suzuki (Akita-shi) MSC: 53C24 53C21 PDF BibTeX XML Cite \textit{Bui Van Binh} et al., Kodai Math. J. 40, No. 2, 343--357 (2017; Zbl 1377.53060) Full Text: DOI Euclid OpenURL
Brasco, Lorenzo; Ruffini, Berardo Compact Sobolev embeddings and torsion functions. (English) Zbl 1378.46023 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 4, 817-843 (2017). MSC: 46E35 26D10 35P30 PDF BibTeX XML Cite \textit{L. Brasco} and \textit{B. Ruffini}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 4, 817--843 (2017; Zbl 1378.46023) Full Text: DOI arXiv OpenURL
Roth, Julien; Scheuer, Julian Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space. (English) Zbl 1366.35107 Ann. Global Anal. Geom. 51, No. 3, 287-304 (2017). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P15 53C20 53C24 53C42 58C40 PDF BibTeX XML Cite \textit{J. Roth} and \textit{J. Scheuer}, Ann. Global Anal. Geom. 51, No. 3, 287--304 (2017; Zbl 1366.35107) Full Text: DOI arXiv Link OpenURL
Dung, Nguyen Thac Rigidity properties of smooth metric measure spaces via the weighted \(p\)-Laplacian. (English) Zbl 1355.53034 Proc. Am. Math. Soc. 145, No. 3, 1287-1299 (2017). MSC: 53C23 53C24 58J05 PDF BibTeX XML Cite \textit{N. T. Dung}, Proc. Am. Math. Soc. 145, No. 3, 1287--1299 (2017; Zbl 1355.53034) Full Text: DOI OpenURL
van den Berg, M.; Ferone, V.; Nitsch, C.; Trombetti, C. On Pólya’s inequality for torsional rigidity and first Dirichlet eigenvalue. (English) Zbl 1388.49012 Integral Equations Oper. Theory 86, No. 4, 579-600 (2016). MSC: 49J45 49R05 35P15 47A75 35J25 PDF BibTeX XML Cite \textit{M. van den Berg} et al., Integral Equations Oper. Theory 86, No. 4, 579--600 (2016; Zbl 1388.49012) Full Text: DOI arXiv OpenURL
Wu, Jia-Yong Rigidity of closed metric measure spaces with nonnegative curvature. (English) Zbl 1355.53037 Kodai Math. J. 39, No. 3, 489-499 (2016). MSC: 53C24 53C21 35P15 53C23 PDF BibTeX XML Cite \textit{J.-Y. Wu}, Kodai Math. J. 39, No. 3, 489--499 (2016; Zbl 1355.53037) Full Text: DOI arXiv OpenURL
Hall, S. J.; Murphy, T. Rigidity results for Hermitian-Einstein manifolds. (English) Zbl 1356.53051 Math. Proc. R. Ir. Acad. 116A, No. 1, 35-44 (2016). Reviewer: Vamsi Pritham Pingali (Baltimore) MSC: 53C25 53C55 32Q15 PDF BibTeX XML Cite \textit{S. J. Hall} and \textit{T. Murphy}, Math. Proc. R. Ir. Acad. 116A, No. 1, 35--44 (2016; Zbl 1356.53051) Full Text: DOI arXiv OpenURL
Külahcı, Mihriban; Bektaş, Mehmet Eigenvalue rigidity in nonnegative Ricci curvature. (English) Zbl 1348.53052 Int. Electron. J. Geom. 9, No. 1, 57-61 (2016). MSC: 53C24 53B30 53C50 PDF BibTeX XML Cite \textit{M. Külahcı} and \textit{M. Bektaş}, Int. Electron. J. Geom. 9, No. 1, 57--61 (2016; Zbl 1348.53052) OpenURL
Stepanov, S. E.; Tsyganok, I. I.; Mikeš, J. Overview and comparative analysis of the properties of the Hodge-De Rham and Tachibana operators. (English) Zbl 1474.53196 Filomat 29, No. 10, 2429-2436 (2015). MSC: 53C20 53C21 53C24 58A12 58C40 PDF BibTeX XML Cite \textit{S. E. Stepanov} et al., Filomat 29, No. 10, 2429--2436 (2015; Zbl 1474.53196) Full Text: DOI OpenURL
Neto, Nilton M. Barroso; Wang, Qiaoling; Xia, Changyu Rigidity of complete minimal hypersurfaces in a hyperbolic space. (English) Zbl 1327.53077 Ann. Acad. Sci. Fenn., Math. 40, No. 2, 659-668 (2015). MSC: 53C42 53C20 PDF BibTeX XML Cite \textit{N. M. B. Neto} et al., Ann. Acad. Sci. Fenn., Math. 40, No. 2, 659--668 (2015; Zbl 1327.53077) Full Text: DOI OpenURL
Li, Song-Ying; Duong Ngoc Son; Wang, Xiaodong A new characterization of the CR sphere and the sharp eigenvalue estimate for the Kohn Laplacian. (English) Zbl 1319.53032 Adv. Math. 281, 1285-1305 (2015). MSC: 53C21 32V30 PDF BibTeX XML Cite \textit{S.-Y. Li} et al., Adv. Math. 281, 1285--1305 (2015; Zbl 1319.53032) Full Text: DOI arXiv OpenURL
Ho, Pak Tung Differentiable rigidity of hypersurface in space forms. (English) Zbl 1320.53049 Manuscr. Math. 146, No. 3-4, 463-472 (2015). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C24 58C40 53C40 PDF BibTeX XML Cite \textit{P. T. Ho}, Manuscr. Math. 146, No. 3--4, 463--472 (2015; Zbl 1320.53049) Full Text: DOI OpenURL
Huang, Qin; Ruan, Qihua Applications of some elliptic equations in Riemannian manifolds. (English) Zbl 1310.58012 J. Math. Anal. Appl. 409, No. 1, 189-196 (2014). MSC: 58J05 53C24 35R01 58J50 PDF BibTeX XML Cite \textit{Q. Huang} and \textit{Q. Ruan}, J. Math. Anal. Appl. 409, No. 1, 189--196 (2014; Zbl 1310.58012) Full Text: DOI arXiv OpenURL
Bucur, Dorin; Buttazzo, Giuseppe; Velichkov, Bozhidar Spectral optimization problems for potentials and measures. (English) Zbl 1301.49122 SIAM J. Math. Anal. 46, No. 4, 2956-2986 (2014). MSC: 49R05 49J45 49Q10 35P15 35J10 47A75 35J25 PDF BibTeX XML Cite \textit{D. Bucur} et al., SIAM J. Math. Anal. 46, No. 4, 2956--2986 (2014; Zbl 1301.49122) Full Text: DOI arXiv OpenURL
Aaronson, Jon; Hosseini, Maryam; Lemańczyk, Mariusz IP-rigidity and eigenvalue groups. (English) Zbl 1309.37013 Ergodic Theory Dyn. Syst. 34, No. 4, 1057-1076 (2014). Reviewer: Christoph Aistleitner (Kobe) MSC: 37A45 37A25 PDF BibTeX XML Cite \textit{J. Aaronson} et al., Ergodic Theory Dyn. Syst. 34, No. 4, 1057--1076 (2014; Zbl 1309.37013) Full Text: DOI arXiv OpenURL
Ruan, Qi-Hua; Chen, Fan Eigenvalue problems on Riemannian manifolds with a modified Ricci tensor. (English) Zbl 1292.53028 Ann. Global Anal. Geom. 46, No. 1, 63-74 (2014). MSC: 53C21 53C24 58J50 PDF BibTeX XML Cite \textit{Q.-H. Ruan} and \textit{F. Chen}, Ann. Global Anal. Geom. 46, No. 1, 63--74 (2014; Zbl 1292.53028) Full Text: DOI OpenURL
Brasco, Lorenzo On torsional rigidity and principal frequencies: an invitation to the Kohler-Jobin rearrangement technique. (English) Zbl 1290.35160 ESAIM, Control Optim. Calc. Var. 20, No. 2, 315-338 (2014). MSC: 35P15 35P30 47A75 PDF BibTeX XML Cite \textit{L. Brasco}, ESAIM, Control Optim. Calc. Var. 20, No. 2, 315--338 (2014; Zbl 1290.35160) Full Text: DOI OpenURL
Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun Isotropic local laws for sample covariance and generalized Wigner matrices. (English) Zbl 1288.15044 Electron. J. Probab. 19, Paper No. 33, 53 p. (2014). MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{B. Alex} et al., Electron. J. Probab. 19, Paper No. 33, 53 p. (2014; Zbl 1288.15044) Full Text: DOI arXiv OpenURL
Pietra, Francesco Della; Gavitone, Nunzia Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators. (English) Zbl 1285.35054 Math. Nachr. 287, No. 2-3, 194-209 (2014). MSC: 35P15 35P30 PDF BibTeX XML Cite \textit{F. Della Pietra} and \textit{N. Gavitone}, Math. Nachr. 287, No. 2--3, 194--209 (2014; Zbl 1285.35054) Full Text: DOI arXiv OpenURL
Deng, Hongcun Compact manifolds with positive \(m\)-Bakry-Émery Ricci tensor. (English) Zbl 1290.53062 Differ. Geom. Appl. 32, 88-96 (2014). Reviewer: Vladimir Yu. Rovenskij (Nesher) MSC: 53C42 53C21 53C24 PDF BibTeX XML Cite \textit{H. Deng}, Differ. Geom. Appl. 32, 88--96 (2014; Zbl 1290.53062) Full Text: DOI OpenURL
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun The local semicircle law for a general class of random matrices. (English) Zbl 1373.15053 Electron. J. Probab. 18, Paper No. 59, 58 p. (2013). MSC: 15B52 82B44 PDF BibTeX XML Cite \textit{L. Erdős} et al., Electron. J. Probab. 18, Paper No. 59, 58 p. (2013; Zbl 1373.15053) Full Text: DOI arXiv OpenURL
Wu, Jia-Yong A note on the splitting theorem for the weighted measure. (English) Zbl 1261.53036 Ann. Global Anal. Geom. 43, No. 3, 287-298 (2013). MSC: 53C21 53C24 35P15 PDF BibTeX XML Cite \textit{J.-Y. Wu}, Ann. Global Anal. Geom. 43, No. 3, 287--298 (2013; Zbl 1261.53036) Full Text: DOI arXiv OpenURL
Carroll, Tom; Ratzkin, Jesse Two isoperimetric inequalities for the Sobolev constant. (English) Zbl 1258.35154 Z. Angew. Math. Phys. 63, No. 5, 855-863 (2012). MSC: 35P15 30C80 35J05 PDF BibTeX XML Cite \textit{T. Carroll} and \textit{J. Ratzkin}, Z. Angew. Math. Phys. 63, No. 5, 855--863 (2012; Zbl 1258.35154) Full Text: DOI arXiv OpenURL
van den Berg, Michiel Estimates for the torsion function and Sobolev constants. (English) Zbl 1246.60108 Potential Anal. 36, No. 4, 607-616 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J65 35J25 35P99 PDF BibTeX XML Cite \textit{M. van den Berg}, Potential Anal. 36, No. 4, 607--616 (2012; Zbl 1246.60108) Full Text: DOI OpenURL
Li, Haizhong; Wang, Xianfeng Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature. (English) Zbl 1252.53071 Proc. Am. Math. Soc. 140, No. 1, 291-307 (2012). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C42 58J50 53C24 PDF BibTeX XML Cite \textit{H. Li} and \textit{X. Wang}, Proc. Am. Math. Soc. 140, No. 1, 291--307 (2012; Zbl 1252.53071) Full Text: DOI arXiv OpenURL
Salani, Paolo Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in \(\mathbb{R}^3\). (English) Zbl 1247.35034 Adv. Math. 229, No. 3, 1924-1948 (2012). Reviewer: Marcelo Furtado (Brasília) MSC: 35J60 39B62 47J05 52A40 52C25 PDF BibTeX XML Cite \textit{P. Salani}, Adv. Math. 229, No. 3, 1924--1948 (2012; Zbl 1247.35034) Full Text: DOI arXiv OpenURL
Raulot, S.; Savo, A. A Reilly formula and eigenvalue estimates for differential forms. (English) Zbl 1228.58018 J. Geom. Anal. 21, No. 3, 620-640 (2011). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58J50 53C24 58A10 PDF BibTeX XML Cite \textit{S. Raulot} and \textit{A. Savo}, J. Geom. Anal. 21, No. 3, 620--640 (2011; Zbl 1228.58018) Full Text: DOI arXiv OpenURL
Izmestiev, Ivan The Colin de Verdière number and graphs of polytopes. (English) Zbl 1298.05204 Isr. J. Math. 178, 427-444 (2010). MSC: 05C50 05C10 52C25 51E99 PDF BibTeX XML Cite \textit{I. Izmestiev}, Isr. J. Math. 178, 427--444 (2010; Zbl 1298.05204) Full Text: DOI arXiv OpenURL
Solynin, Alexander Yu.; Zalgaller, Victor A. The inradius, the first eigenvalue, and the torsional rigidity of curvilinear polygons. (English) Zbl 1200.35203 Bull. Lond. Math. Soc. 42, No. 5, 765-783 (2010). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P15 35J05 58C40 53C21 PDF BibTeX XML Cite \textit{A. Yu. Solynin} and \textit{V. A. Zalgaller}, Bull. Lond. Math. Soc. 42, No. 5, 765--783 (2010; Zbl 1200.35203) Full Text: DOI OpenURL
Roth, Julien Pinching of the first eigenvalue of the Laplacian for hypersurfaces and rigidity. (Pincement de la première valeur propre du Laplacien pour les hypersurfaces et rigidité.) (French. English summary) Zbl 1187.58010 Actes de Séminaire de Théorie Spectrale et Géométrie. Année 2007–2008. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Séminaire de Théorie Spectrale et Géométrie 26, 123-138 (2008). Reviewer: Salah Mehdi (Metz) MSC: 58C40 53A07 53C20 53C21 PDF BibTeX XML Cite \textit{J. Roth}, Sémin. Théor. Spectr. Géom. 26, 123--138 (2008; Zbl 1187.58010) Full Text: EuDML OpenURL
Raulot, Simon Rigidity of compact Riemannian spin manifolds with boundary. (English) Zbl 1204.53037 Lett. Math. Phys. 86, No. 2-3, 177-192 (2008). Reviewer: Ilka Agricola (Marburg) MSC: 53C24 53C27 53C40 53C80 58C40 PDF BibTeX XML Cite \textit{S. Raulot}, Lett. Math. Phys. 86, No. 2--3, 177--192 (2008; Zbl 1204.53037) Full Text: DOI arXiv OpenURL
Colesanti, Andrea; Cuoghi, Paola; Salani, Paolo Brunn-Minkowski inequalities for two functionals involving the \(p\)-Laplace operator. (English) Zbl 1151.52307 Appl. Anal. 85, No. 1-3, 45-66 (2006). MSC: 52A40 26D15 41A17 35J20 35J60 39B62 47J05 52C25 PDF BibTeX XML Cite \textit{A. Colesanti} et al., Appl. Anal. 85, No. 1--3, 45--66 (2006; Zbl 1151.52307) Full Text: DOI OpenURL
Vernicos, Constantin The macroscopic spectrum of nilmanifolds with an emphasis on the Heisenberg groups. (English) Zbl 1087.58004 Comment. Math. Helv. 80, No. 2, 293-315 (2005). Reviewer: Vicente Cortés (Vandœuvre-lés-Nancy) MSC: 58C40 53C24 PDF BibTeX XML Cite \textit{C. Vernicos}, Comment. Math. Helv. 80, No. 2, 293--315 (2005; Zbl 1087.58004) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{J. Bertrand}, Ann. Inst. Fourier 55, No. 2, 353--372 (2005; Zbl 1080.53032) Full Text: DOI Numdam EuDML OpenURL
Grosjean, Jean-François Extrinsic upper bound for the first eigenvalue of elliptic operators. (English) Zbl 1085.58024 Hokkaido Math. J. 33, No. 2, 319-339 (2004). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P15 49R50 31C12 53C24 PDF BibTeX XML Cite \textit{J.-F. Grosjean}, Hokkaido Math. J. 33, No. 2, 319--339 (2004; Zbl 1085.58024) Full Text: DOI OpenURL
Grosjean, Jean-François A new Lichnerowicz-Obata estimate in the presence of a parallel \(p\)-form. (English) Zbl 1017.58004 Manuscr. Math. 107, No. 4, 503-520 (2002). Reviewer: Jesus A.Álvarez López (Santiago de Compostela) MSC: 58C40 58A10 53C24 PDF BibTeX XML Cite \textit{J.-F. Grosjean}, Manuscr. Math. 107, No. 4, 503--520 (2002; Zbl 1017.58004) Full Text: DOI OpenURL
Wu, Jyh-Yang An eigenvalue pinching problem. (English) Zbl 0959.53018 Manuscr. Math. 98, No. 3, 333-347 (1999). Reviewer: Qing Chen (Anhui) MSC: 53C20 58J50 53C24 PDF BibTeX XML Cite \textit{J.-Y. Wu}, Manuscr. Math. 98, No. 3, 333--347 (1999; Zbl 0959.53018) Full Text: DOI OpenURL
Sanchez-Hubert, Jacqueline; Sanchez-Palencia, Évariste Thin elastic shells. Asymptotic properties. (Coques élastiques minces. Propriétés asymptotiques.) (French) Zbl 0881.73001 Recherches en Mathématiques Appliquées. Paris: Masson. xix, 376 p. (1997). Reviewer: R.Valid (Paris) MSC: 74-02 74K15 35Q72 35B40 PDF BibTeX XML Cite \textit{J. Sanchez-Hubert} and \textit{É. Sanchez-Palencia}, Coques élastiques minces. Propriétés asymptotiques. Paris: Masson (1997; Zbl 0881.73001) OpenURL
Blandford, G. E. Stability analysis of flexibly connected thin-walled space frames. (English) Zbl 0871.73021 Comput. Struct. 53, No. 4, 839-847 (1994). MSC: 74G60 PDF BibTeX XML Cite \textit{G. E. Blandford}, Comput. Struct. 53, No. 4, 839--847 (1994; Zbl 0871.73021) Full Text: DOI OpenURL
Hersch, Joseph Isoperimetric monotonicity: Some properties and conjectures (connections between isoperimetric inequalities). (English) Zbl 0669.35089 SIAM Rev. 30, No. 4, 551-577 (1988). Reviewer: R.Heersink MSC: 35P15 35J20 65N25 35J05 35J25 PDF BibTeX XML Cite \textit{J. Hersch}, SIAM Rev. 30, No. 4, 551--577 (1988; Zbl 0669.35089) Full Text: DOI OpenURL
Barcilon, Victor Sufficient conditions for the solution of the inverse problem for a vibrating beam. (English) Zbl 0629.73040 Inverse Probl. 3, 181-193 (1987). Reviewer: A.Pignedoli MSC: 74H45 74K10 34A55 34L99 PDF BibTeX XML Cite \textit{V. Barcilon}, Inverse Probl. 3, 181--193 (1987; Zbl 0629.73040) Full Text: DOI OpenURL
Banu, H.; Adhikary, S. C. Improved frequency formula for axial modes of vibration of a circular ring. (English) Zbl 0821.73032 Ganit 6, No. 1-2, 93-101 (1986). MSC: 74H45 74K20 PDF BibTeX XML Cite \textit{H. Banu} and \textit{S. C. Adhikary}, Ganit 6, No. 1--2, 93--101 (1986; Zbl 0821.73032) OpenURL
Bossel, Marie-Helene Longueurs extrémales et fonctionnelles de domaine. (Extremal lengths and domain functionals). (English) Zbl 0623.31002 Complex Variables, Theory Appl. 6, 203-234 (1986). Reviewer: S.J.Gardiner MSC: 31A15 35J05 35P15 PDF BibTeX XML Cite \textit{M.-H. Bossel}, Complex Variables, Theory Appl. 6, 203--234 (1986; Zbl 0623.31002) Full Text: DOI OpenURL
Kuwabara, Ruishi Correction to ”On the characterization of flat metrics by the spectrum”. (English) Zbl 0478.58030 Comment. Math. Helv. 56, 196-197 (1981). MSC: 58J50 58C40 53C20 PDF BibTeX XML Cite \textit{R. Kuwabara}, Comment. Math. Helv. 56, 196--197 (1981; Zbl 0478.58030) Full Text: DOI EuDML OpenURL
Bosznay, Adam Solution of the inverse eigenvalue problem of a vibrating continuum with the method of intermediate operators. (English) Zbl 0474.73101 Numerische Behandlung von Differentialgleichungen, Bd. 3, Tag. Clausthal 1980, ISNM 56, 18-35 (1981). MSC: 74S30 65L15 74H45 PDF BibTeX XML OpenURL
Kuwabara, Ruishi On the characterization of flat metrics by the spectrum. (English) Zbl 0448.58027 Comment. Math. Helv. 55, 427-444 (1980). MSC: 58J50 58C40 53C20 PDF BibTeX XML Cite \textit{R. Kuwabara}, Comment. Math. Helv. 55, 427--444 (1980; Zbl 0448.58027) Full Text: DOI EuDML OpenURL
Kohler-Jobin, Marie-Therese Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö. (French) Zbl 0427.73056 Z. Angew. Math. Phys. 29, 757-766 (1978). MSC: 74K15 74H45 35J05 PDF BibTeX XML Cite \textit{M.-T. Kohler-Jobin}, Z. Angew. Math. Phys. 29, 757--766 (1978; Zbl 0427.73056) Full Text: DOI OpenURL