Vogel, Marco Asymptotics of Robin eigenvalues for non-isotropic peaks. (English) Zbl 07787736 J. Math. Anal. Appl. 532, No. 2, Article ID 127953, 29 p. (2024). MSC: 35P20 35J25 PDFBibTeX XMLCite \textit{M. Vogel}, J. Math. Anal. Appl. 532, No. 2, Article ID 127953, 29 p. (2024; Zbl 07787736) Full Text: DOI arXiv
Pankrashkin, Konstantin; Vogel, Marco Asymptotics of Robin eigenvalues on sharp infinite cones. (English) Zbl 1526.35255 J. Spectr. Theory 13, No. 1, 201-241 (2023). MSC: 35P20 35J05 35J25 47A75 PDFBibTeX XMLCite \textit{K. Pankrashkin} and \textit{M. Vogel}, J. Spectr. Theory 13, No. 1, 201--241 (2023; Zbl 1526.35255) Full Text: DOI arXiv
Krejčiřík, David; Lotoreichik, Vladimir; Vu, Tuyen Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle. (English) Zbl 1521.35125 Appl. Math. Optim. 88, No. 2, Paper No. 63, 33 p. (2023). MSC: 35P15 35J25 PDFBibTeX XMLCite \textit{D. Krejčiřík} et al., Appl. Math. Optim. 88, No. 2, Paper No. 63, 33 p. (2023; Zbl 1521.35125) Full Text: DOI arXiv
Bandyopadhyay, S.; Chhetri, M.; Delgado, B. B.; Mavinga, N.; Pardo, R. Maximal and minimal weak solutions for elliptic problems with nonlinearity on the boundary. (English) Zbl 1512.35212 Electron. Res. Arch. 30, No. 6, 2121-2137 (2022). MSC: 35J25 35J65 35A01 PDFBibTeX XMLCite \textit{S. Bandyopadhyay} et al., Electron. Res. Arch. 30, No. 6, 2121--2137 (2022; Zbl 1512.35212) Full Text: DOI
Girouard, Alexandre; Karpukhin, Mikhail; Levitin, Michael; Polterovich, Iosif The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. (English) Zbl 1492.58016 J. Spectr. Theory 12, No. 1, 195-225 (2022). Reviewer: Emily Dryden (Lewisburg) MSC: 58J50 35P20 PDFBibTeX XMLCite \textit{A. Girouard} et al., J. Spectr. Theory 12, No. 1, 195--225 (2022; Zbl 1492.58016) Full Text: DOI arXiv
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Zhang, Youpei Ground-state nodal solutions for superlinear perturbations of the Robin eigenvalue problem. (English) Zbl 1486.35238 Z. Angew. Math. Phys. 73, No. 2, Paper No. 49, 19 p. (2022). MSC: 35J92 35J25 35A01 35J20 PDFBibTeX XMLCite \textit{N. S. Papageorgiou} et al., Z. Angew. Math. Phys. 73, No. 2, Paper No. 49, 19 p. (2022; Zbl 1486.35238) Full Text: DOI
Bögli, Sabine; Kennedy, James B.; Lang, Robin On the eigenvalues of the Robin Laplacian with a complex parameter. (English) Zbl 1490.35108 Anal. Math. Phys. 12, No. 1, Paper No. 39, 60 p. (2022). Reviewer: Davide Buoso (Alessandria) MSC: 35J05 35J25 35P10 35P15 35S05 47A10 81Q12 PDFBibTeX XMLCite \textit{S. Bögli} et al., Anal. Math. Phys. 12, No. 1, Paper No. 39, 60 p. (2022; Zbl 1490.35108) Full Text: DOI arXiv
Buoso, Davide; Kennedy, James B. The Bilaplacian with Robin boundary conditions. (English) Zbl 1481.35162 SIAM J. Math. Anal. 54, No. 1, 36-78 (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 35J40 35J91 35P15 PDFBibTeX XMLCite \textit{D. Buoso} and \textit{J. B. Kennedy}, SIAM J. Math. Anal. 54, No. 1, 36--78 (2022; Zbl 1481.35162) Full Text: DOI arXiv
Rudnick, Zeév; Wigman, Igor; Yesha, Nadav Differences between Robin and Neumann eigenvalues. (English) Zbl 1480.35122 Commun. Math. Phys. 388, No. 3, 1603-1635 (2021). MSC: 35J05 35J25 35P15 PDFBibTeX XMLCite \textit{Z. Rudnick} et al., Commun. Math. Phys. 388, No. 3, 1603--1635 (2021; Zbl 1480.35122) Full Text: DOI arXiv
Khalile, Magda; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin Effective operators for Robin eigenvalues in domains with corners. (Opérateurs effectifs pour les valeurs propres de Robin dans des domaines à coins.) (English. French summary) Zbl 1466.35094 Ann. Inst. Fourier 70, No. 5, 2215-2301 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J05 35P20 PDFBibTeX XMLCite \textit{M. Khalile} et al., Ann. Inst. Fourier 70, No. 5, 2215--2301 (2020; Zbl 1466.35094) Full Text: DOI arXiv
Kennedy, James B.; Lang, Robin On the eigenvalues of quantum graph Laplacians with large complex \(\delta\) couplings. (English) Zbl 1470.34081 Port. Math. (N.S.) 77, No. 2, 133-161 (2020). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34B45 34L15 81Q12 81Q35 PDFBibTeX XMLCite \textit{J. B. Kennedy} and \textit{R. Lang}, Port. Math. (N.S.) 77, No. 2, 133--161 (2020; Zbl 1470.34081) Full Text: DOI arXiv
Pankrashkin, Konstantin An eigenvalue estimate for a Robin \(p\)-Laplacian in \(C^1\) domains. (English) Zbl 1453.35105 Proc. Am. Math. Soc. 148, No. 10, 4471-4477 (2020). Reviewer: Vladimir Bobkov (Plzeň) MSC: 35J92 35P15 35P30 PDFBibTeX XMLCite \textit{K. Pankrashkin}, Proc. Am. Math. Soc. 148, No. 10, 4471--4477 (2020; Zbl 1453.35105) Full Text: DOI arXiv
Rivas, Mauricio A.; Robinson, Stephen B. Eigencurves for linear elliptic equations. (English) Zbl 1437.35241 ESAIM, Control Optim. Calc. Var. 25, Paper No. 45, 25 p. (2019). MSC: 35J25 35P15 PDFBibTeX XMLCite \textit{M. A. Rivas} and \textit{S. B. Robinson}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 45, 25 p. (2019; Zbl 1437.35241) Full Text: DOI arXiv
Laugesen, Richard S. The Robin Laplacian – spectral conjectures, rectangular theorems. (English) Zbl 1444.35033 J. Math. Phys. 60, No. 12, 121507, 31 p. (2019). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35J05 35J25 35P15 PDFBibTeX XMLCite \textit{R. S. Laugesen}, J. Math. Phys. 60, No. 12, 121507, 31 p. (2019; Zbl 1444.35033) Full Text: DOI arXiv
Peng, Rui; Zhang, Guanghui; Zhou, Maolin Asymptotic behavior of the principal eigenvalue of a linear second order elliptic operator with small/large diffusion coefficient. (English) Zbl 1426.35174 SIAM J. Math. Anal. 51, No. 6, 4724-4753 (2019). Reviewer: Yehuda Pinchover (Haifa) MSC: 35P15 35J20 PDFBibTeX XMLCite \textit{R. Peng} et al., SIAM J. Math. Anal. 51, No. 6, 4724--4753 (2019; Zbl 1426.35174) Full Text: DOI arXiv
Olendski, Oleg Thermodynamic properties of the 1D Robin quantum well. (English) Zbl 07756852 Ann. Phys., Berlin 530, No. 8, Article ID 1700325, 18 p. (2018). MSC: 81-XX PDFBibTeX XMLCite \textit{O. Olendski}, Ann. Phys., Berlin 530, No. 8, Article ID 1700325, 18 p. (2018; Zbl 07756852) Full Text: DOI
Olendski, Oleg Quantum information measures of the one-dimensional Robin quantum well. (English) Zbl 07756851 Ann. Phys., Berlin 530, No. 8, Article ID 1700324, 19 p. (2018). MSC: 81-XX PDFBibTeX XMLCite \textit{O. Olendski}, Ann. Phys., Berlin 530, No. 8, Article ID 1700324, 19 p. (2018; Zbl 07756851) Full Text: DOI arXiv
Khalile, Magda Spectral asymptotics for Robin Laplacians on polygonal domains. (English) Zbl 1392.35094 J. Math. Anal. Appl. 461, No. 2, 1498-1543 (2018). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{M. Khalile}, J. Math. Anal. Appl. 461, No. 2, 1498--1543 (2018; Zbl 1392.35094) Full Text: DOI arXiv
Liu, Ping; Shi, Junping Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition. (English) Zbl 1375.35032 J. Differ. Equations 264, No. 1, 425-454 (2018). MSC: 35B32 35B35 35K57 35J61 35J66 PDFBibTeX XMLCite \textit{P. Liu} and \textit{J. Shi}, J. Differ. Equations 264, No. 1, 425--454 (2018; Zbl 1375.35032) Full Text: DOI
Filinovskiy, Alexey V. On the asymptotic behavior of eigenvalues and eigenfunctions of the Robin problem with large parameter. (English) Zbl 1488.35400 Math. Model. Anal. 22, No. 1, 37-51 (2017). MSC: 35P15 35J05 PDFBibTeX XMLCite \textit{A. V. Filinovskiy}, Math. Model. Anal. 22, No. 1, 37--51 (2017; Zbl 1488.35400) Full Text: DOI
Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. (English) Zbl 1375.35284 Adv. Calc. Var. 10, No. 4, 357-379 (2017). MSC: 35P15 58J50 35J05 35J20 35J25 PDFBibTeX XMLCite \textit{P. R. S. Antunes} et al., Adv. Calc. Var. 10, No. 4, 357--379 (2017; Zbl 1375.35284) Full Text: DOI arXiv
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas Tunneling for the Robin Laplacian in smooth planar domains. (English) Zbl 1361.35119 Commun. Contemp. Math. 19, No. 1, Article ID 1650030, 38 p. (2017). MSC: 35P15 35P20 47F05 PDFBibTeX XMLCite \textit{B. Helffer} et al., Commun. Contemp. Math. 19, No. 1, Article ID 1650030, 38 p. (2017; Zbl 1361.35119) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas; Raymond, Nicolas Magnetic Laplacian in sharp three-dimensional cones. (English) Zbl 1402.81148 Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29990-7/hbk; 978-3-319-29992-1/ebook). Operator Theory: Advances and Applications 254, 37-56 (2016). MSC: 81Q10 35J10 35P15 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Oper. Theory: Adv. Appl. 254, 37--56 (2016; Zbl 1402.81148) Full Text: DOI arXiv
Pankrashkin, Konstantin On the discrete spectrum of Robin Laplacians in conical domains. (English) Zbl 1390.35208 Math. Model. Nat. Phenom. 11, No. 2, 100-110 (2016). MSC: 35P15 35J05 49R05 58C40 PDFBibTeX XMLCite \textit{K. Pankrashkin}, Math. Model. Nat. Phenom. 11, No. 2, 100--110 (2016; Zbl 1390.35208) Full Text: DOI arXiv
Pankrashkin, Konstantin; Popoff, Nicolas An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter. (English. French summary) Zbl 1345.35068 J. Math. Pures Appl. (9) 106, No. 4, 615-650 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 35P20 35J05 49R05 58C40 PDFBibTeX XMLCite \textit{K. Pankrashkin} and \textit{N. Popoff}, J. Math. Pures Appl. (9) 106, No. 4, 615--650 (2016; Zbl 1345.35068) Full Text: DOI arXiv
Kim, C.-G.; Liang, Z.-P.; Shi, J.-P. Existence of positive solutions to a Laplace equation with nonlinear boundary condition. (English) Zbl 1332.35121 Z. Angew. Math. Phys. 66, No. 6, 3061-3083 (2015). MSC: 35J66 35J25 35J20 35B09 35B32 PDFBibTeX XMLCite \textit{C. G. Kim} et al., Z. Angew. Math. Phys. 66, No. 6, 3061--3083 (2015; Zbl 1332.35121) Full Text: DOI
Pankrashkin, Konstantin; Popoff, Nicolas Mean curvature bounds and eigenvalues of Robin Laplacians. (English) Zbl 1327.35273 Calc. Var. Partial Differ. Equ. 54, No. 2, 1947-1961 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P15 35J05 49R05 58C40 58J50 PDFBibTeX XMLCite \textit{K. Pankrashkin} and \textit{N. Popoff}, Calc. Var. Partial Differ. Equ. 54, No. 2, 1947--1961 (2015; Zbl 1327.35273) Full Text: DOI arXiv
Freitas, Pedro; Krejčiřík, David The first Robin eigenvalue with negative boundary parameter. (English) Zbl 1317.35151 Adv. Math. 280, 322-339 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 35P15 35P05 35P20 PDFBibTeX XMLCite \textit{P. Freitas} and \textit{D. Krejčiřík}, Adv. Math. 280, 322--339 (2015; Zbl 1317.35151) Full Text: DOI arXiv
Helffer, Bernard; Pankrashkin, Konstantin Tunneling between corners for Robin Laplacians. (English) Zbl 1319.35129 J. Lond. Math. Soc., II. Ser. 91, No. 1, 225-248 (2015). Reviewer: Jesús Hernández (Madrid) MSC: 35P15 35J05 47B25 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{K. Pankrashkin}, J. Lond. Math. Soc., II. Ser. 91, No. 1, 225--248 (2015; Zbl 1319.35129) Full Text: DOI arXiv
Kovařík, Hynek On the lowest eigenvalue of Laplace operators with mixed boundary conditions. (English) Zbl 1317.47045 J. Geom. Anal. 24, No. 3, 1509-1525 (2014). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 49R05 PDFBibTeX XMLCite \textit{H. Kovařík}, J. Geom. Anal. 24, No. 3, 1509--1525 (2014; Zbl 1317.47045) Full Text: DOI arXiv
Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Housem On the asymptotics of a Robin eigenvalue problem. (English. Abridged French version) Zbl 1291.35141 C. R., Math., Acad. Sci. Paris 351, No. 13-14, 517-521 (2013). MSC: 35P05 35J25 35B25 35B27 PDFBibTeX XMLCite \textit{F. Cakoni} et al., C. R., Math., Acad. Sci. Paris 351, No. 13--14, 517--521 (2013; Zbl 1291.35141) Full Text: DOI arXiv
Daners, Daniel Principal eigenvalues for generalised indefinite Robin problems. (English) Zbl 1264.35152 Potential Anal. 38, No. 4, 1047-1069 (2013). MSC: 35P15 35J25 47F05 PDFBibTeX XMLCite \textit{D. Daners}, Potential Anal. 38, No. 4, 1047--1069 (2013; Zbl 1264.35152) Full Text: DOI
Pardo, Rosa; Pereira, Antônio Luiz; Sabina de Lis, José C. The tangential variation of a localized flux-type eigenvalue problem. (English) Zbl 1267.35144 J. Differ. Equations 252, No. 3, 2104-2130 (2012). MSC: 35P15 35J25 35J20 PDFBibTeX XMLCite \textit{R. Pardo} et al., J. Differ. Equations 252, No. 3, 2104--2130 (2012; Zbl 1267.35144) Full Text: DOI
Colorado, Eduardo; García-Melián, Jorge The behavior of the principal eigenvalue of a mixed elliptic problem with respect to a parameter. (English) Zbl 1209.35092 J. Math. Anal. Appl. 377, No. 1, 53-69 (2011). MSC: 35P20 35J25 35J61 35B40 35B30 PDFBibTeX XMLCite \textit{E. Colorado} and \textit{J. García-Melián}, J. Math. Anal. Appl. 377, No. 1, 53--69 (2011; Zbl 1209.35092) Full Text: DOI
Zheng, Sining; Wang, Wei Effects of reactive gradient term in a multi-nonlinear parabolic problem. (English) Zbl 1180.35302 J. Differ. Equations 247, No. 7, 1980-1992 (2009). MSC: 35K61 35B33 35B40 35B44 35K58 PDFBibTeX XMLCite \textit{S. Zheng} and \textit{W. Wang}, J. Differ. Equations 247, No. 7, 1980--1992 (2009; Zbl 1180.35302) Full Text: DOI
García-Melián, Jorge; Rossi, Julio D.; Sabina De Lis, José C. Existence and uniqueness of positive solutions to elliptic problems with sublinear mixed boundary conditions. (English) Zbl 1179.35141 Commun. Contemp. Math. 11, No. 4, 585-613 (2009). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J66 35J20 35B32 35B09 PDFBibTeX XMLCite \textit{J. García-Melián} et al., Commun. Contemp. Math. 11, No. 4, 585--613 (2009; Zbl 1179.35141) Full Text: DOI
Kennedy, James An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions. (English) Zbl 1181.35156 Proc. Am. Math. Soc. 137, No. 2, 627-633 (2009). MSC: 35P15 35J25 49J40 PDFBibTeX XMLCite \textit{J. Kennedy}, Proc. Am. Math. Soc. 137, No. 2, 627--633 (2009; Zbl 1181.35156) Full Text: DOI
Rodríguez-Bernal, Aníbal Some qualitative dynamics of nonlinear boundary conditions. (English) Zbl 1056.35090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2333-2342 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K60 35B40 35B41 35K55 35K57 PDFBibTeX XMLCite \textit{A. Rodríguez-Bernal}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2333--2342 (2002; Zbl 1056.35090) Full Text: DOI
Rodríguez-Bernal, Aníbal; Tajdine, Anas Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up. (English) Zbl 0999.35047 J. Differ. Equations 169, No. 2, 332-372 (2001). Reviewer: Lubomira G.Softova (Bari) MSC: 35K57 35B40 35K60 PDFBibTeX XMLCite \textit{A. Rodríguez-Bernal} and \textit{A. Tajdine}, J. Differ. Equations 169, No. 2, 332--372 (2001; Zbl 0999.35047) Full Text: DOI