Eigenvalues of polyharmonic operators on variable domains
ESAIM: COCV, 19 4 (2013) 1225-1235
Published online: 2013-09-06
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Existence of an optimal shape for the first eigenvalue of polyharmonic operators
Roméo LeylekianCalculus of Variations and Partial Differential Equations 64 (3) (2025)
https://doi.org/10.1007/s00526-025-02936-4
A remark on the Hadamard-Hirakawa formula for an electromagnetic cavity problem
Michele ZaccaronBollettino dell'Unione Matematica Italiana 17 (2) 527 (2024)
https://doi.org/10.1007/s40574-023-00380-w
On the optimization of Maxwell's eigenvalues as functions of the electric permittivity in a cavity
Pier Domenico Lamberti, Paolo Luzzini and Michele ZaccaronMathematical Methods in the Applied Sciences 47 (16) 12507 (2024)
https://doi.org/10.1002/mma.10270
Boundary vorticity of incompressible 2D flows
Giovanni FranzinaZeitschrift für angewandte Mathematik und Physik 75 (6) (2024)
https://doi.org/10.1007/s00033-024-02335-3
Minimization of the Buckling Load of a Clamped Plate with Perimeter Constraint
Michele Carriero, Simone Cito and Antonio LeaciApplied Mathematics & Optimization 89 (1) (2024)
https://doi.org/10.1007/s00245-023-10097-z
Is the Faber–Krahn inequality true for the Stokes operator?
Antoine Henrot, Idriss Mazari-Fouquer and Yannick PrivatCalculus of Variations and Partial Differential Equations 63 (9) (2024)
https://doi.org/10.1007/s00526-024-02820-7
Towards the Optimality of the Ball for the Rayleigh Conjecture Concerning the Clamped Plate
Roméo LeylekianArchive for Rational Mechanics and Analysis 248 (2) (2024)
https://doi.org/10.1007/s00205-024-01972-2
On second-order tensor representation of derivatives in shape optimization
Antoine Laurain and Pedro T. P. LopesPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 382 (2277) (2024)
https://doi.org/10.1098/rsta.2023.0300
Sufficient conditions yielding the Rayleigh Conjecture for the clamped plate
Roméo LeylekianAnnali di Matematica Pura ed Applicata (1923 -) 203 (6) 2529 (2024)
https://doi.org/10.1007/s10231-024-01454-y
On the spectral instability for weak intermediate triharmonic problems
Francesco FerraressoMathematical Methods in the Applied Sciences 45 (10) 5864 (2022)
https://doi.org/10.1002/mma.8144
The Bilaplacian with Robin Boundary Conditions
Davide Buoso and James B. KennedySIAM Journal on Mathematical Analysis 54 (1) 36 (2022)
https://doi.org/10.1137/20M1363984
A few results on permittivity variations in electromagnetic cavities
Paolo Luzzini and Michele ZaccaronJournal of Differential Equations 334 342 (2022)
https://doi.org/10.1016/j.jde.2022.06.023
The buckling eigenvalue problem in the annulus
Davide Buoso and Enea PariniCommunications in Contemporary Mathematics 23 (04) 2050044 (2021)
https://doi.org/10.1142/S0219199720500443
On the first frequency of reinforced partially hinged plates
Elvise Berchio, Alessio Falocchi, Alberto Ferrero and Debdip GangulyCommunications in Contemporary Mathematics 23 (03) 1950074 (2021)
https://doi.org/10.1142/S0219199719500743
Shape Perturbation of Grushin Eigenvalues
Pier Domenico Lamberti, Paolo Luzzini and Paolo MusolinoThe Journal of Geometric Analysis 31 (11) 10679 (2021)
https://doi.org/10.1007/s12220-021-00662-9
EIGENVALUES OF THE FINSLER p ‐LAPLACIAN ON VARYING DOMAINS
Giuseppina di Blasio and Pier Domenico LambertiMathematika 66 (3) 765 (2020)
https://doi.org/10.1112/mtk.12042
On a Babuška Paradox for Polyharmonic Operators: Spectral Stability and Boundary Homogenization for Intermediate Problems
Francesco Ferraresso and Pier Domenico LambertiIntegral Equations and Operator Theory 91 (6) (2019)
https://doi.org/10.1007/s00020-019-2552-0
Existence of weak solutions to a dynamic model for smectic-A liquid crystals under undulations
Etienne Emmrich and Robert LasarzikIMA Journal of Applied Mathematics 84 (6) 1143 (2019)
https://doi.org/10.1093/imamat/hxz030
On the Behavior of Clamped Plates under Large Compression
P. R. S. Antunes, D. Buoso and P. FreitasSIAM Journal on Applied Mathematics 79 (5) 1872 (2019)
https://doi.org/10.1137/19M1249606
Extremal eigenvalues of the Dirichlet biharmonic operator on rectangles
D. Buoso and P. FreitasProceedings of the American Mathematical Society 148 (3) 1109 (2019)
https://doi.org/10.1090/proc/14792
A note on the Neumann eigenvalues of the biharmonic operator
Luigi ProvenzanoMathematical Methods in the Applied Sciences 41 (3) 1005 (2018)
https://doi.org/10.1002/mma.4063
On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
Elvise Berchio, Davide Buoso and Filippo GazzolaESAIM: Control, Optimisation and Calculus of Variations 24 (1) 63 (2018)
https://doi.org/10.1051/cocv/2016076
Boundary homogenization for a triharmonic intermediate problem
José M. Arrieta, Francesco Ferraresso and Pier Domenico LambertiMathematical Methods in the Applied Sciences 41 (3) 979 (2018)
https://doi.org/10.1002/mma.4025
Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems
José M. Arrieta and Pier Domenico LambertiJournal of Differential Equations 263 (7) 4222 (2017)
https://doi.org/10.1016/j.jde.2017.05.011
Spectral Analysis of the Biharmonic Operator Subject to Neumann Boundary Conditions on Dumbbell Domains
José M. Arrieta, Francesco Ferraresso and Pier Domenico LambertiIntegral Equations and Operator Theory 89 (3) 377 (2017)
https://doi.org/10.1007/s00020-017-2391-9
Geometric Properties for Parabolic and Elliptic PDE's
Davide BuosoSpringer Proceedings in Mathematics & Statistics, Geometric Properties for Parabolic and Elliptic PDE's 176 65 (2016)
https://doi.org/10.1007/978-3-319-41538-3_5
Integral Methods in Science and Engineering
M. Dalla Riva and P. MusolinoIntegral Methods in Science and Engineering 143 (2015)
https://doi.org/10.1007/978-3-319-16727-5_13
A few shape optimization results for a biharmonic Steklov problem
Davide Buoso and Luigi ProvenzanoJournal of Differential Equations 259 (5) 1778 (2015)
https://doi.org/10.1016/j.jde.2015.03.013
Integral Methods in Science and Engineering
D. BuosoIntegral Methods in Science and Engineering 91 (2015)
https://doi.org/10.1007/978-3-319-16727-5_8
New Trends in Shape Optimization
Davide Buoso and Pier Domenico LambertiInternational Series of Numerical Mathematics, New Trends in Shape Optimization 166 43 (2015)
https://doi.org/10.1007/978-3-319-17563-8_3
Shape Sensitivity Analysis of the Eigenvalues of the Reissner--Mindlin System
Davide Buoso and Pier Domenico LambertiSIAM Journal on Mathematical Analysis 47 (1) 407 (2015)
https://doi.org/10.1137/140969968
Integral Methods in Science and Engineering
D. Buoso and L. ProvenzanoIntegral Methods in Science and Engineering 81 (2015)
https://doi.org/10.1007/978-3-319-16727-5_7
Eigenvalue bounds for the poly-harmonic operators
Selma Yıldırım Yolcu and Türkay YolcuIllinois Journal of Mathematics 58 (3) (2014)
https://doi.org/10.1215/ijm/1441790392
Spectral stability results for higher-order operators under perturbations of the domain
José M. Arrieta and Pier Domenico LambertiComptes Rendus. Mathématique 351 (19-20) 725 (2013)
https://doi.org/10.1016/j.crma.2013.10.001