Ramos, João P. G.; Tilli, Paolo A Faber-Krahn inequality for wavelet transforms. (English) Zbl 07738115 Bull. Lond. Math. Soc. 55, No. 4, 2018-2034 (2023). Reviewer: Gustaf Gripenberg (Aalto) MSC: 42C40 42B10 26D10 94A12 81S30 49Q10 49Q20 PDF BibTeX XML Cite \textit{J. P. G. Ramos} and \textit{P. Tilli}, Bull. Lond. Math. Soc. 55, No. 4, 2018--2034 (2023; Zbl 07738115) Full Text: DOI arXiv OA License
Allen, Mark; Kriventsov, Dennis; Neumayer, Robin Linear stability implies nonlinear stability for Faber-Krahn-type inequalities. (English) Zbl 1519.49035 Interfaces Free Bound. 25, No. 2, 217-324 (2023). MSC: 49R05 47A75 49Q20 PDF BibTeX XML Cite \textit{M. Allen} et al., Interfaces Free Bound. 25, No. 2, 217--324 (2023; Zbl 1519.49035) Full Text: DOI arXiv
Kassymov, Aidyn; Ruzhansky, Michael; Torebek, Berikbol T. Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems. (English) Zbl 1511.26022 Mediterr. J. Math. 20, No. 3, Paper No. 119, 14 p. (2023). MSC: 26D10 45J05 PDF BibTeX XML Cite \textit{A. Kassymov} et al., Mediterr. J. Math. 20, No. 3, Paper No. 119, 14 p. (2023; Zbl 1511.26022) Full Text: DOI arXiv
Balogh, Zoltán M.; Kristály, Alexandru Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature. (English) Zbl 1514.53079 Math. Ann. 385, No. 3-4, 1747-1773 (2023). Reviewer: Jialong Deng (Beijing) MSC: 53C21 53C23 53C24 49Q20 PDF BibTeX XML Cite \textit{Z. M. Balogh} and \textit{A. Kristály}, Math. Ann. 385, No. 3--4, 1747--1773 (2023; Zbl 1514.53079) Full Text: DOI arXiv
Beigi, Salman Improved quantum hypercontractivity inequality for the qubit depolarizing channel. (English) Zbl 1491.46058 J. Math. Phys. 62, No. 12, Article ID 122201, 14 p. (2021). MSC: 46L52 81P17 81P47 47A63 PDF BibTeX XML Cite \textit{S. Beigi}, J. Math. Phys. 62, No. 12, Article ID 122201, 14 p. (2021; Zbl 1491.46058) Full Text: DOI arXiv
Antunes, Pedro R. S.; Benguria, Rafael D.; Lotoreichik, Vladimir; Ourmières-Bonafos, Thomas A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities. (English) Zbl 1472.81090 Commun. Math. Phys. 386, No. 2, 781-818 (2021). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q10 81R25 30H20 30H10 35J10 35P05 58J50 47J20 49J40 PDF BibTeX XML Cite \textit{P. R. S. Antunes} et al., Commun. Math. Phys. 386, No. 2, 781--818 (2021; Zbl 1472.81090) Full Text: DOI arXiv Link
Haddad, J.; Jiménez, C. H.; Montenegro, M. From affine Poincaré inequalities to affine spectral inequalities. (English) Zbl 1467.35231 Adv. Math. 386, Article ID 107808, 35 p. (2021). MSC: 35P30 35A23 35B09 35J25 35J92 52A40 PDF BibTeX XML Cite \textit{J. Haddad} et al., Adv. Math. 386, Article ID 107808, 35 p. (2021; Zbl 1467.35231) Full Text: DOI arXiv
Popoff, Nicolas The negative spectrum of the Robin Laplacian. (English) Zbl 1461.35172 Miranda, Pablo (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3–7, 2018. Cham: Springer. Lat. Am. Math. Ser., 229-242 (2020). MSC: 35P15 35J25 PDF BibTeX XML Cite \textit{N. Popoff}, in: Spectral theory and mathematical physics. Proceedings of the conference, STMP 2018, Santiago, Chile, December 3--7, 2018. Cham: Springer. 229--242 (2020; Zbl 1461.35172) Full Text: DOI
Bandle, Catherine; Wagner, Alfred Erratum to: Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. (English) Zbl 1447.49059 J. Convex Anal. 26, No. 3, 903-909 (2019). MSC: 49Q10 49R05 49K20 35J20 35N25 15A42 PDF BibTeX XML Cite \textit{C. Bandle} and \textit{A. Wagner}, J. Convex Anal. 26, No. 3, 903--909 (2019; Zbl 1447.49059) Full Text: Link
Fournais, S.; Helffer, B. Inequalities for the lowest magnetic Neumann eigenvalue. (English) Zbl 1415.35213 Lett. Math. Phys. 109, No. 7, 1683-1700 (2019). MSC: 35P15 PDF BibTeX XML Cite \textit{S. Fournais} and \textit{B. Helffer}, Lett. Math. Phys. 109, No. 7, 1683--1700 (2019; Zbl 1415.35213) Full Text: DOI arXiv
Kal’menov, Tynysbek Sh.; Kassymov, Aidyn; Suragan, Durvudkhan Isoperimetric inequalities for the heat potential operator. (English) Zbl 1484.47081 Filomat 32, No. 3, 903-910 (2018). MSC: 47G40 47A30 58J50 PDF BibTeX XML Cite \textit{T. Sh. Kal'menov} et al., Filomat 32, No. 3, 903--910 (2018; Zbl 1484.47081) Full Text: DOI
Bucur, Dorin; Fragalà, Ilaria Reverse Faber-Krahn and Mahler inequalities for the Cheeger constant. (English) Zbl 1404.52001 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 5, 913-937 (2018). MSC: 52A10 49Q10 52A40 PDF BibTeX XML Cite \textit{D. Bucur} and \textit{I. Fragalà}, Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 5, 913--937 (2018; Zbl 1404.52001) Full Text: DOI
Bucur, Dorin; Fragalà, Ilaria; Velichkov, Bozhidar; Verzini, Gianmaria On the honeycomb conjecture for a class of minimal convex partitions. (English) Zbl 1396.52024 Trans. Am. Math. Soc. 370, No. 10, 7149-7179 (2018). MSC: 52C20 51M16 65N25 49Q10 PDF BibTeX XML Cite \textit{D. Bucur} et al., Trans. Am. Math. Soc. 370, No. 10, 7149--7179 (2018; Zbl 1396.52024) Full Text: DOI arXiv
Kassymov, Aidyn; Suragan, Durvudkhan Some spectral geometry inequalities for generalized heat potential operators. (English) Zbl 06813679 Complex Anal. Oper. Theory 11, No. 6, 1371-1385 (2017). MSC: 47G40 47A30 58J50 PDF BibTeX XML Cite \textit{A. Kassymov} and \textit{D. Suragan}, Complex Anal. Oper. Theory 11, No. 6, 1371--1385 (2017; Zbl 06813679) Full Text: DOI
Bucur, Dorin; Freitas, Pedro; Kennedy, James The Robin problems. (English) Zbl 1375.49053 Henrot, Antoine (ed.), Shape optimization and spectral theory. Berlin: De Gruyter (ISBN 978-3-11-055085-6/hbk; 978-3-11-055088-7/ebook). 78-119 (2017). Reviewer: Peter B. Gilkey (Eugene) MSC: 49Q10 58J50 35P15 PDF BibTeX XML Cite \textit{D. Bucur} et al., in: Shape optimization and spectral theory. Berlin: De Gruyter. 78--119 (2017; Zbl 1375.49053) Full Text: DOI
Bandle, Catherine; Wagner, Alfred Isoperimetric inequalities for the principal eigenvalue of a membrane and the energy of problems with Robin boundary conditions. (English) Zbl 1328.49041 J. Convex Anal. 22, No. 3, 627-640 (2015); erratum ibid. 26, No. 3, 903-909 (2019). MSC: 49Q10 49R05 49K20 35J20 35N25 15A42 PDF BibTeX XML Cite \textit{C. Bandle} and \textit{A. Wagner}, J. Convex Anal. 22, No. 3, 627--640 (2015; Zbl 1328.49041) Full Text: arXiv Link
Hudson, Steven M. Remarks on extremals in minimal support inequalities. (English) Zbl 1273.35071 Bilyk, Dmitriy (ed.) et al., Recent advances in harmonic analysis and applications. In honor of Konstantin Oskolkov on the occasion of his 65th birthday. Based on the AMS sectional meeting, Georgia Southern University, Statesboro, GA, USA, March 11–13, 2011. Berlin: Springer (ISBN 978-1-4614-4564-7/hbk; 978-1-4614-4565-4/ebook). Springer Proceedings in Mathematics & Statistics 25, 161-169 (2013). MSC: 35B45 35B05 26D20 35J25 PDF BibTeX XML Cite \textit{S. M. Hudson}, Springer Proc. Math. Stat. 25, 161--169 (2013; Zbl 1273.35071) Full Text: DOI
Xiao, Jie New thoughts on Weinberger’s first and second integral bounds for Green’s functions. (English) Zbl 1275.35086 Asian J. Math. 16, No. 3, 429-450 (2012). Reviewer: Lubomira Softova (Aversa) MSC: 35J08 35J15 49K20 PDF BibTeX XML Cite \textit{J. Xiao}, Asian J. Math. 16, No. 3, 429--450 (2012; Zbl 1275.35086) Full Text: DOI Euclid
De Carli, L.; Hudson, S. M. A Faber-Krahn inequality for solutions of Schrödinger’s equation. (English) Zbl 1254.35064 Adv. Math. 230, No. 4-6, 2416-2427 (2012). MSC: 35J10 35B05 26D20 PDF BibTeX XML Cite \textit{L. De Carli} and \textit{S. M. Hudson}, Adv. Math. 230, No. 4--6, 2416--2427 (2012; Zbl 1254.35064) Full Text: DOI
Chesnel, Lucas Interior transmission eigenvalue problem for Maxwell’s equations: the \(T\)-coercivity as an alternative approach. (English) Zbl 1243.78024 Inverse Probl. 28, No. 6, Article ID 065005, 14 p. (2012). MSC: 78A45 35P25 35P99 35Q61 47A13 PDF BibTeX XML Cite \textit{L. Chesnel}, Inverse Probl. 28, No. 6, Article ID 065005, 14 p. (2012; Zbl 1243.78024) Full Text: DOI
Daners, Daniel Krahn’s proof of the Rayleigh conjecture revisited. (English) Zbl 1210.35250 Arch. Math. 96, No. 2, 187-199 (2011). MSC: 35Q74 74K15 74P20 35P15 01A60 PDF BibTeX XML Cite \textit{D. Daners}, Arch. Math. 96, No. 2, 187--199 (2011; Zbl 1210.35250) Full Text: DOI
Brandolini, Barbara; Nitsch, Carlo; Trombetti, Cristina An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit. (English) Zbl 1194.35286 Arch. Math. 94, No. 4, 391-400 (2010). MSC: 35P15 35J62 35J92 35J25 26D10 PDF BibTeX XML Cite \textit{B. Brandolini} et al., Arch. Math. 94, No. 4, 391--400 (2010; Zbl 1194.35286) Full Text: DOI
Xiao, Jie The \(p\)-Faber-Krahn inequality noted. (English) Zbl 1185.26033 Laptev, Ari (ed.), Around the research of Vladimir Maz’ya. I. Function spaces. Dordrecht: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-1-4419-1340-1/hbk; 978-1-4419-1341-8/ebook; 978-5-9018-7341-0/hbk). International Mathematical Series (New York) 11, 373-390 (2010). MSC: 26D10 PDF BibTeX XML Cite \textit{J. Xiao}, Int. Math. Ser., N.Y. 11, 373--390 (2010; Zbl 1185.26033) Full Text: DOI arXiv
Fall, Mouhamed Moustapha Some local eigenvalue estimates involving curvatures. (English) Zbl 1180.35391 Calc. Var. Partial Differ. Equ. 36, No. 3, 437-451 (2009). MSC: 35P15 35R45 52A40 35B51 PDF BibTeX XML Cite \textit{M. M. Fall}, Calc. Var. Partial Differ. Equ. 36, No. 3, 437--451 (2009; Zbl 1180.35391) Full Text: DOI arXiv
Maggi, F.; Villani, C. Balls have the worst best Sobolev inequalities. II: Variants and extensions. (English) Zbl 1135.46016 Calc. Var. Partial Differ. Equ. 31, No. 1, 47-74 (2008). Reviewer: Leszek Skrzypczak (Poznań) MSC: 46E35 26D15 35R45 PDF BibTeX XML Cite \textit{F. Maggi} and \textit{C. Villani}, Calc. Var. Partial Differ. Equ. 31, No. 1, 47--74 (2008; Zbl 1135.46016) Full Text: DOI
Bandle, Catherina; Vernier-Piro, Stella Estimates for solutions of quasilinear problems with dead cores. (English) Zbl 1039.35031 Z. Angew. Math. Phys. 54, No. 5, 815-821 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J25 49K20 35J60 PDF BibTeX XML Cite \textit{C. Bandle} and \textit{S. Vernier-Piro}, Z. Angew. Math. Phys. 54, No. 5, 815--821 (2003; Zbl 1039.35031) Full Text: DOI Link
Carlen, E. A.; Kerce, C. On the cases of equality in Bobkov’s inequality and Gaussian rearrangement. (English) Zbl 1009.49029 Calc. Var. Partial Differ. Equ. 13, No. 1, 1-18 (2001). Reviewer: Neculai Papaghiuc (Iasi) MSC: 49Q20 49N60 47J20 26D10 60E15 93B03 PDF BibTeX XML Cite \textit{E. A. Carlen} and \textit{C. Kerce}, Calc. Var. Partial Differ. Equ. 13, No. 1, 1--18 (2001; Zbl 1009.49029) Full Text: DOI
Grigor’yan, Alexander Estimates of heat kernels on Riemannian manifolds. (English) Zbl 0985.58007 Davies, Brian (ed.) et al., Spectral theory and geometry. Proceedings of the ICMS instructional conference, Edinburgh, UK, 30 March-9 April, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 273, 140-225 (1999). Reviewer: S.Nikčević (Beograd) MSC: 58J35 PDF BibTeX XML Cite \textit{A. Grigor'yan}, Lond. Math. Soc. Lect. Note Ser. 273, 140--225 (1999; Zbl 0985.58007)
Ashbaugh, Mark S. Isoperimetric and universal inequalities for eigenvalues. (English) Zbl 0937.35114 Davies, Brian (ed.) et al., Spectral theory and geometry. Proceedings of the ICMS instructional conference, Edinburgh, UK, 30 March-9 April, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 273, 95-139 (1999). MSC: 35P15 49R50 35J05 35J40 PDF BibTeX XML Cite \textit{M. S. Ashbaugh}, Lond. Math. Soc. Lect. Note Ser. 273, 95--139 (1999; Zbl 0937.35114) Full Text: arXiv
Pruss, Alexander R. Discrete convolution-rearrangement inequalities and the Faber-Krahn inequality on regular trees. (English) Zbl 0943.05056 Duke Math. J. 91, No. 3, 463-514 (1998). MSC: 05C50 05C05 15A42 54E35 PDF BibTeX XML Cite \textit{A. R. Pruss}, Duke Math. J. 91, No. 3, 463--514 (1998; Zbl 0943.05056) Full Text: DOI
Carron, Gilles Faber-Krahn inequalities and Sobolev-Orlicz inclusions. (Inégalités de Faber-Krahn et inclusion de Sobolev-Orlicz.) (French) Zbl 0880.31004 Potential Anal. 7, No. 2, 555-575 (1997). Reviewer: S.G.Samko (Faro) MSC: 31C15 46E30 46E35 58J35 58J90 PDF BibTeX XML Cite \textit{G. Carron}, Potential Anal. 7, No. 2, 555--575 (1997; Zbl 0880.31004) Full Text: DOI
Coulhon, Thierry Lipschitz spaces and Poincaré inequalities. (Espaces de Lipschitz et inégalités de Poincaré.) (French) Zbl 0859.58009 J. Funct. Anal. 136, No. 1, 81-113 (1996). Reviewer: N.Papaghiuc (Iaşi) MSC: 58E35 PDF BibTeX XML Cite \textit{T. Coulhon}, J. Funct. Anal. 136, No. 1, 81--113 (1996; Zbl 0859.58009) Full Text: DOI
Carron, Gilles Faber-Krahn isoperimetric inequalities and consequences. (Inégalités isopérimétriques de Faber-Krahn et conséquences.) (French) Zbl 0884.58088 Besse, Arthur L. (ed.), Actes de la table ronde de géométrie différentielle en l’honneur de Marcel Berger, Luminy, France, 12–18 juillet, 1992. Paris: Société Mathématique de France. Sémin. Congr. 1, 205-232 (1996). Reviewer: M.Puta (Timişoara) MSC: 58J35 58J50 58C40 PDF BibTeX XML Cite \textit{G. Carron}, Sémin. Congr. 1, 205--232 (1996; Zbl 0884.58088)
Carron, Gilles Isoperimetric inequalities and Faber-Krahn inequalities. (Inégalités isopérimétriques et inégalités de Faber-Krahn.) (French) Zbl 0923.58009 Séminaire de théorie spectrale et géométrie. Année 1994-1995. St. Martin d’Hères: Univ. de Grenoble I, Institut Fourier, Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 13, 63-66 (1995). MSC: 58C40 58C07 47A30 46E30 46E35 PDF BibTeX XML Cite \textit{G. Carron}, in: Séminaire de théorie spectrale et géométrie. Année 1994-1995. St. Martin d'Hères: Univ. de Grenoble I, Institut Fourier. 63--66 (1995; Zbl 0923.58009) Full Text: EuDML
Ashbaugh, Mark S.; Benguria, Rafael D. Isoperimetric inequalities for eigenvalue ratios. (English) Zbl 0814.35081 Alvino, Angelo (ed.) et al., Partial differential equations of elliptic type. Proceedings of the conference held October 12-16, 1992 in Cortona, Italy. Cambridge: University Press. Symp. Math. 35, 1-36 (1994). Reviewer: C.Bandle (Basel) MSC: 35P15 PDF BibTeX XML Cite \textit{M. S. Ashbaugh} and \textit{R. D. Benguria}, in: Partial differential equations of elliptic type. Proceedings of the conference held October 12-16, 1992 in Cortona, Italy. Cambridge: University Press. 1--36 (1994; Zbl 0814.35081)
Cosner, Chris A priori estimates in nonlinear eigenvalue problems for elliptic systems. (English) Zbl 0573.35073 Differential equations, Proc. Conf., Birmingham/Ala. 1983, North-Holland Math. Sud. 92, 123-129 (1984). Reviewer: J.R.Kuttler MSC: 35P30 35P15 35J60 35B45 PDF BibTeX XML