He, Yue; Pu, Shiyun Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian. (English) Zbl 07806043 Bull. Braz. Math. Soc. (N.S.) 55, No. 1, Paper No. 10, 33 p. (2024). MSC: 35P15 35J40 53C20 53C42 PDFBibTeX XMLCite \textit{Y. He} and \textit{S. Pu}, Bull. Braz. Math. Soc. (N.S.) 55, No. 1, Paper No. 10, 33 p. (2024; Zbl 07806043) Full Text: DOI
Araújo Filho, Marcio C.; Gomes, José N. V. Eigenvalue estimates for a class of elliptic differential operators in divergence form on Riemannian manifolds isometrically immersed in Euclidean space. (English) Zbl 1520.58012 Z. Angew. Math. Phys. 74, No. 4, Paper No. 157, 16 p. (2023). MSC: 58J50 47A75 47F10 35P15 53C25 PDFBibTeX XMLCite \textit{M. C. Araújo Filho} and \textit{J. N. V. Gomes}, Z. Angew. Math. Phys. 74, No. 4, Paper No. 157, 16 p. (2023; Zbl 1520.58012) Full Text: DOI arXiv
Buoso, Davide; Luzzini, Paolo; Provenzano, Luigi; Stubbe, Joachim Semiclassical estimates for eigenvalue means of Laplacians on spheres. (English) Zbl 1519.58007 J. Geom. Anal. 33, No. 9, Paper No. 280, 51 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58C40 35P15 35J25 35J40 53A05 PDFBibTeX XMLCite \textit{D. Buoso} et al., J. Geom. Anal. 33, No. 9, Paper No. 280, 51 p. (2023; Zbl 1519.58007) Full Text: DOI arXiv
Zeng, Lingzhong Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \). (English) Zbl 1512.35417 Ann. Henri Poincaré 24, No. 5, 1597-1615 (2023). MSC: 35P15 35J40 35R11 53C23 81T30 83C57 PDFBibTeX XMLCite \textit{L. Zeng}, Ann. Henri Poincaré 24, No. 5, 1597--1615 (2023; Zbl 1512.35417) Full Text: DOI arXiv
Rudolf, Daniel Viterbo’s conjecture as a worm problem. (English) Zbl 1518.37042 Monatsh. Math. 201, No. 1, 217-287 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37C83 53D05 52A10 52A20 PDFBibTeX XMLCite \textit{D. Rudolf}, Monatsh. Math. 201, No. 1, 217--287 (2023; Zbl 1518.37042) Full Text: DOI arXiv
Bezdek, Károly On a strengthening of the Blaschke-Leichtweiss theorem. (English) Zbl 1506.52002 J. Geom. 114, No. 1, Paper No. 2, 14 p. (2023). MSC: 52A10 52A38 52A55 52A20 52A40 53A35 PDFBibTeX XMLCite \textit{K. Bezdek}, J. Geom. 114, No. 1, Paper No. 2, 14 p. (2023; Zbl 1506.52002) Full Text: DOI arXiv
Huang, Guangyue; Zhu, Mingfang Some geometric inequalities on Riemannian manifolds associated with the generalized modified Ricci curvature. (English) Zbl 1508.53043 J. Math. Phys. 63, No. 11, Article ID 111508, 12 p. (2022). MSC: 53C20 53C21 58J50 53C42 35P15 PDFBibTeX XMLCite \textit{G. Huang} and \textit{M. Zhu}, J. Math. Phys. 63, No. 11, Article ID 111508, 12 p. (2022; Zbl 1508.53043) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Roth}, Potential Anal. 53, No. 3, 773--798 (2020; Zbl 1447.35233) Full Text: DOI HAL
Azami, Shahroud Eigenvalue monotonicity of \((p, q)\)-Laplacian along the Ricci-Bourguignon flow. (English) Zbl 1429.58022 Commun. Korean Math. Soc. 34, No. 1, 287-301 (2019). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58C40 53E20 53C21 58J50 PDFBibTeX XMLCite \textit{S. Azami}, Commun. Korean Math. Soc. 34, No. 1, 287--301 (2019; Zbl 1429.58022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Mendes}, Proc. Am. Math. Soc. 147, No. 8, 3515--3521 (2019; Zbl 1433.53074) Full Text: DOI arXiv
Azami, Shahroud The first eigenvalue of some \((p,q)\)-Laplacian and geometric estimates. (English) Zbl 1394.35299 Commun. Korean Math. Soc. 33, No. 1, 317-323 (2018). MSC: 35P15 47J10 53C21 PDFBibTeX XMLCite \textit{S. Azami}, Commun. Korean Math. Soc. 33, No. 1, 317--323 (2018; Zbl 1394.35299) Full Text: DOI
Souza, Leo Ivo S. On the \(L_r\)-operators penalized by \((r+1)\)-mean curvature. (English) Zbl 1394.53010 Proc. Am. Math. Soc. 146, No. 9, 4021-4027 (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 53A07 53C21 58J50 35P15 PDFBibTeX XMLCite \textit{L. I. S. Souza}, Proc. Am. Math. Soc. 146, No. 9, 4021--4027 (2018; Zbl 1394.53010) Full Text: DOI arXiv
Du, Feng; Wang, Qiaoling; Xia, Changyu Estimates for eigenvalues of the Wentzell-Laplace operator. (English) Zbl 1390.35203 J. Geom. Phys. 129, 25-33 (2018). MSC: 35P15 53C40 58C40 PDFBibTeX XMLCite \textit{F. Du} et al., J. Geom. Phys. 129, 25--33 (2018; Zbl 1390.35203) Full Text: DOI
Cheng, Qing-Ming; Qi, Xuerong; Wang, Qiaoling; Xia, Changyu Inequalities for eigenvalues of the buckling problem of arbitrary order. (English) Zbl 1387.35429 Ann. Mat. Pura Appl. (4) 197, No. 1, 211-232 (2018). MSC: 35P15 53C20 PDFBibTeX XMLCite \textit{Q.-M. Cheng} et al., Ann. Mat. Pura Appl. (4) 197, No. 1, 211--232 (2018; Zbl 1387.35429) Full Text: DOI arXiv
Georgiev, Bogdan; Mukherjee, Mayukh Nodal geometry, heat diffusion and Brownian motion. (English) Zbl 1378.35208 Anal. PDE 11, No. 1, 133-148 (2018). MSC: 35P20 53B20 53Z05 35K05 PDFBibTeX XMLCite \textit{B. Georgiev} and \textit{M. Mukherjee}, Anal. PDE 11, No. 1, 133--148 (2018; Zbl 1378.35208) Full Text: DOI arXiv
Azami; Shahroud Monotonicity of eigenvalues of Witten-Laplace operator along the Ricci-bourguignon flow. (English) Zbl 1427.53107 AIMS Math. 2, No. 2, 230-243 (2017). MSC: 53E20 53C20 PDFBibTeX XMLCite \textit{Azami} and \textit{Shahroud}, AIMS Math. 2, No. 2, 230--243 (2017; Zbl 1427.53107) Full Text: DOI
Huang, Guangyue; Qi, Xuerong; Li, Hongjuan Estimates for eigenvalues of \(\mathcal{L}_r\) operator on self-shrinkers. (English) Zbl 1379.53074 Int. J. Math. 28, No. 13, Article ID 1750097, 18 p. (2017). MSC: 53C40 58C40 PDFBibTeX XMLCite \textit{G. Huang} et al., Int. J. Math. 28, No. 13, Article ID 1750097, 18 p. (2017; Zbl 1379.53074) Full Text: DOI arXiv
Azami, Shahroud Eigenvalues variation of the \(p\)-Laplacian under the Yamabe flow. (English) Zbl 1438.53127 Cogent Math. 3, Article ID 1236566, 10 p. (2016). MSC: 53E99 58C40 PDFBibTeX XMLCite \textit{S. Azami}, Cogent Math. 3, Article ID 1236566, 10 p. (2016; Zbl 1438.53127) Full Text: DOI
Stefanopoulos, Vangelis An isoperimetric type inequality for the principal eigenvalue of Schrödinger operators depending on the curvature of a loop. (English) Zbl 1327.81203 J. Differ. Equations 260, No. 1, 115-132 (2016). MSC: 81Q10 35J10 53A04 35P15 51P05 PDFBibTeX XMLCite \textit{V. Stefanopoulos}, J. Differ. Equations 260, No. 1, 115--132 (2016; Zbl 1327.81203) Full Text: DOI
Ghomi, Mohammad; Howard, Ralph Total diameter and area of closed submanifolds. (English) Zbl 1330.53010 Math. Ann. 363, No. 3-4, 985-999 (2015). Reviewer: Jan Kurek (Lublin) MSC: 53A07 52A20 58Z05 52A38 PDFBibTeX XMLCite \textit{M. Ghomi} and \textit{R. Howard}, Math. Ann. 363, No. 3--4, 985--999 (2015; Zbl 1330.53010) Full Text: DOI arXiv
Du, Feng; Mao, Jing; Wang, Qiaoling; Wu, Chuanxi Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons. (English) Zbl 1325.35121 Ann. Global Anal. Geom. 48, No. 3, 255-268 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P15 53C20 53C42 PDFBibTeX XMLCite \textit{F. Du} et al., Ann. Global Anal. Geom. 48, No. 3, 255--268 (2015; Zbl 1325.35121) Full Text: DOI
Du, Feng; Mao, Jing Reilly-type inequalities for \(p\)-Laplacian on compact Riemannian manifolds. (English) Zbl 1334.58018 Front. Math. China 10, No. 3, 583-594 (2015). MSC: 58J50 35R01 35J92 35P15 53C42 PDFBibTeX XMLCite \textit{F. Du} and \textit{J. Mao}, Front. Math. China 10, No. 3, 583--594 (2015; Zbl 1334.58018) Full Text: DOI
Du, Feng; Wu, Chuanxi; Li, Guanghan; Xia, Changyu Estimates for eigenvalues of the bi-drifting Laplacian operator. (English) Zbl 1333.58012 Z. Angew. Math. Phys. 66, No. 3, 703-726 (2015). MSC: 58J50 35P15 53C20 53C42 PDFBibTeX XMLCite \textit{F. Du} et al., Z. Angew. Math. Phys. 66, No. 3, 703--726 (2015; Zbl 1333.58012) Full Text: DOI
Xia, Changyu; Xu, Hongwei Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds. (English) Zbl 1319.35133 Ann. Global Anal. Geom. 45, No. 3, 155-166 (2014). Reviewer: Julie Rowlett (Gothenburg) MSC: 35P15 53C20 53C42 58J50 PDFBibTeX XMLCite \textit{C. Xia} and \textit{H. Xu}, Ann. Global Anal. Geom. 45, No. 3, 155--166 (2014; Zbl 1319.35133) Full Text: DOI
Sun, Hejun; Qi, Xuerong Eigenvalue estimates for quadratic polynomial operator of the Laplacian. (English) Zbl 1215.35113 Glasg. Math. J. 53, No. 2, 321-332 (2011). MSC: 35P15 35J40 58C40 53C42 58J05 PDFBibTeX XMLCite \textit{H. Sun} and \textit{X. Qi}, Glasg. Math. J. 53, No. 2, 321--332 (2011; Zbl 1215.35113) Full Text: DOI
Jost, Jürgen; Li-Jost, Xianqing; Wang, Qiaoling; Xia, Changyu Universal bounds for eigenvalues of the polyharmonic operators. (English) Zbl 1222.35132 Trans. Am. Math. Soc. 363, No. 4, 1821-1854 (2011). Reviewer: Agostino Prástaro (Roma) MSC: 35P15 53C20 35J30 58J05 PDFBibTeX XMLCite \textit{J. Jost} et al., Trans. Am. Math. Soc. 363, No. 4, 1821--1854 (2011; Zbl 1222.35132) Full Text: DOI arXiv
Wang, Qiaoling; Xia, Changyu Inequalities for eigenvalues of a clamped plate problem. (English) Zbl 1205.35175 Calc. Var. Partial Differ. Equ. 40, No. 1-2, 273-289 (2011). MSC: 35P15 53C20 53C42 58J50 74K20 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{C. Xia}, Calc. Var. Partial Differ. Equ. 40, No. 1--2, 273--289 (2011; Zbl 1205.35175) Full Text: DOI
Do Carmo, Manfredo P.; Wang, Qiaoling; Xia, Changyu Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds. (English) Zbl 1200.35200 Ann. Mat. Pura Appl. (4) 189, No. 4, 643-660 (2010). MSC: 35P15 53C20 53C42 58J50 58J60 53C21 PDFBibTeX XMLCite \textit{M. P. Do Carmo} et al., Ann. Mat. Pura Appl. (4) 189, No. 4, 643--660 (2010; Zbl 1200.35200) Full Text: DOI
Jost, Jürgen; Li-Jost, Xianqing; Wang, Qiaoling; Xia, Changyu Universal inequalities for eigenvalues of the buckling problem of arbitrary order. (English) Zbl 1200.35201 Commun. Partial Differ. Equations 35, No. 9, 1563-1589 (2010). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P15 53C20 53C42 58J32 PDFBibTeX XMLCite \textit{J. Jost} et al., Commun. Partial Differ. Equations 35, No. 9, 1563--1589 (2010; Zbl 1200.35201) Full Text: DOI arXiv
Cheng, Qing-Ming; Ichikawa, Takamichi; Mametsuka, Shinji Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds. (English) Zbl 1191.35192 J. Math. Soc. Japan 62, No. 2, 673-686 (2010). MSC: 35P15 58J60 53C42 PDFBibTeX XMLCite \textit{Q.-M. Cheng} et al., J. Math. Soc. Japan 62, No. 2, 673--686 (2010; Zbl 1191.35192) Full Text: DOI
Wang, Qiaoling; Xia, Changyu Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds. (English) Zbl 1200.53042 J. Math. Soc. Japan 62, No. 2, 597-622 (2010). Reviewer: Cihan Özgür (Balikesir) MSC: 53C20 58C40 35P15 53C42 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{C. Xia}, J. Math. Soc. Japan 62, No. 2, 597--622 (2010; Zbl 1200.53042) Full Text: DOI
Wang, Lin-Feng Eigenvalue estimate of the \(p\)-Laplace operator. (English) Zbl 1223.53035 Lobachevskii J. Math. 30, No. 3, 235-242 (2009). MSC: 53C21 58J50 PDFBibTeX XMLCite \textit{L.-F. Wang}, Lobachevskii J. Math. 30, No. 3, 235--242 (2009; Zbl 1223.53035) Full Text: DOI
Huang, Guangyue; Li, Xingxiao; Xu, Ruiwei Extrinsic estimates for the eigenvalues of Schrödinger operator. (English) Zbl 1180.35394 Geom. Dedicata 143, 89-107 (2009). MSC: 35P15 53C20 35J10 58J50 PDFBibTeX XMLCite \textit{G. Huang} et al., Geom. Dedicata 143, 89--107 (2009; Zbl 1180.35394) Full Text: DOI
Chen, Daguang Extrinsic estimates for eigenvalues of the Dirac operator. (English) Zbl 1169.53037 Math. Z. 262, No. 2, 349-361 (2009). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C27 58J50 PDFBibTeX XMLCite \textit{D. Chen}, Math. Z. 262, No. 2, 349--361 (2009; Zbl 1169.53037) Full Text: DOI arXiv
Harrell, Evans M. II Commutators, eigenvalue gaps, and mean curvature in the theory of Schrödinger operators. (English) Zbl 1387.35136 Commun. Partial Differ. Equations 32, No. 3, 401-413 (2007). MSC: 35J10 47F05 53Z05 58J05 81Q10 PDFBibTeX XMLCite \textit{E. M. Harrell II}, Commun. Partial Differ. Equations 32, No. 3, 401--413 (2007; Zbl 1387.35136) Full Text: DOI arXiv
Linde, Helmut A lower bound for the ground state energy of a Schrödinger operator on a loop. (English) Zbl 1108.81027 Proc. Am. Math. Soc. 134, No. 12, 3629-3635 (2006). MSC: 81Q10 53A04 PDFBibTeX XMLCite \textit{H. Linde}, Proc. Am. Math. Soc. 134, No. 12, 3629--3635 (2006; Zbl 1108.81027) Full Text: DOI arXiv
Burchard, Almut; Thomas, Lawrence E. On an isoperimetric inequality for a Schrödinger operator depending on the curvature of a loop. (English) Zbl 1089.58014 J. Geom. Anal. 15, No. 4, 543-563 (2005). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E35 53C21 49R50 53A04 47E05 PDFBibTeX XMLCite \textit{A. Burchard} and \textit{L. E. Thomas}, J. Geom. Anal. 15, No. 4, 543--563 (2005; Zbl 1089.58014) Full Text: DOI arXiv Link
Cheng, Qing-Ming; Yang, Hongcang Estimates on eigenvalues of Laplacian. (English) Zbl 1122.35086 Math. Ann. 331, No. 2, 445-460 (2005). MSC: 35P15 58J50 53C42 PDFBibTeX XMLCite \textit{Q.-M. Cheng} and \textit{H. Yang}, Math. Ann. 331, No. 2, 445--460 (2005; Zbl 1122.35086) Full Text: DOI
Ashbaugh, Mark S.; Benguria, Rafael D. A sharp bound for the ratio of the first two Dirichlet eigenvalues of a domain in a hemisphere of \(\mathbb{S}^n\). (English) Zbl 0981.53023 Trans. Am. Math. Soc. 353, No. 3, 1055-1087 (2001). Reviewer: Alessandro Savo (Roma) MSC: 53C20 58J50 35P15 PDFBibTeX XMLCite \textit{M. S. Ashbaugh} and \textit{R. D. Benguria}, Trans. Am. Math. Soc. 353, No. 3, 1055--1087 (2001; Zbl 0981.53023) Full Text: DOI arXiv
Harrell, Evans M. II; Michel, Patricia L. Commutator bounds for eigenvalues, with applications to spectral geometry. (English) Zbl 0815.35078 Commun. Partial Differ. Equations 19, No. 11-12, 2037-2055 (1994). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35P15 53C42 58C40 PDFBibTeX XMLCite \textit{E. M. Harrell II} and \textit{P. L. Michel}, Commun. Partial Differ. Equations 19, No. 11--12, 2037--2055 (1994; Zbl 0815.35078) Full Text: DOI
Guillopé, Laurent Théorie spectrale de quelques variétés à bouts. (Spectral theory of pointed ends manifolds). (French) Zbl 0682.58049 Ann. Sci. Éc. Norm. Supér. (4) 22, No. 1, 137-160 (1989). Reviewer: M.Craioveanu MSC: 58J50 53C20 PDFBibTeX XMLCite \textit{L. Guillopé}, Ann. Sci. Éc. Norm. Supér. (4) 22, No. 1, 137--160 (1989; Zbl 0682.58049) Full Text: DOI Numdam EuDML