Sur les problèmes fondamentaux de la physique mathématique
Annales scientifiques de l'École Normale Supérieure, Série 3, Tome 19 (1902), pp. 191-259. 
@article{ASENS_1902_3_19__191_0,
     author = {Stekloff, W.},
     title = {Sur les probl\`emes fondamentaux de la physique math\'ematique},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {191--259},
     publisher = {Elsevier},
     volume = {3e s{\'e}rie, 19},
     year = {1902},
     doi = {10.24033/asens.510},
     language = {fr},
     url = {http://www.numdam.org/articles/10.24033/asens.510/}
}
TY  - JOUR
AU  - Stekloff, W.
TI  - Sur les problèmes fondamentaux de la physique mathématique
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1902
SP  - 191
EP  - 259
VL  - 19
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.24033/asens.510/
DO  - 10.24033/asens.510
LA  - fr
ID  - ASENS_1902_3_19__191_0
ER  - 
%0 Journal Article
%A Stekloff, W.
%T Sur les problèmes fondamentaux de la physique mathématique
%J Annales scientifiques de l'École Normale Supérieure
%D 1902
%P 191-259
%V 19
%I Elsevier
%U http://www.numdam.org/articles/10.24033/asens.510/
%R 10.24033/asens.510
%G fr
%F ASENS_1902_3_19__191_0
Stekloff, W. Sur les problèmes fondamentaux de la physique mathématique. Annales scientifiques de l'École Normale Supérieure, Série 3, Tome 19 (1902), pp. 191-259. doi : 10.24033/asens.510. http://www.numdam.org/articles/10.24033/asens.510/
  • Scheuer, Julian Stability from rigidity via umbilicity, Advances in Calculus of Variations (2024) | DOI:10.1515/acv-2023-0119
  • Chen, Hang The upper bound of the harmonic mean of the Steklov eigenvalues in curved spaces, Bulletin of the London Mathematical Society, Volume 56 (2024) no. 3, p. 931 | DOI:10.1112/blms.12974
  • Yu, Chengjie; Yu, Yingtao Monotonicity of Steklov eigenvalues on graphs and applications, Calculus of Variations and Partial Differential Equations, Volume 63 (2024) no. 3 | DOI:10.1007/s00526-024-02683-y
  • Masri, Rami; Zeinhofer, Marius; Kuchta, Miroslav; Rognes, Marie E. The modelling error in multi-dimensional time-dependent solute transport models, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 58 (2024) no. 5, p. 1681 | DOI:10.1051/m2an/2024060
  • Yang, Jie; Yang, Qingsong; Han, Jiayu Conforming element method and shifted-inverse two-grid dicretization for the fourth-order Steklov eigenvalue problem, Journal of Applied Mathematics and Computing, Volume 70 (2024) no. 3, p. 2487 | DOI:10.1007/s12190-024-02056-w
  • Arias-Marco, Teresa; Dryden, Emily B.; Gordon, Carolyn S.; Hassannezhad, Asma; Ray, Allie; Stanhope, Elizabeth Applications of possibly hidden symmetry to Steklov and mixed Steklov problems on surfaces, Journal of Mathematical Analysis and Applications, Volume 534 (2024) no. 2, p. 128088 | DOI:10.1016/j.jmaa.2024.128088
  • Migliaccio, Giovanni; Matevossian, Hovik A. Solution of the Biharmonic Problem with the Steklov-type and Farwig Boundary Conditions, Lobachevskii Journal of Mathematics, Volume 45 (2024) no. 5, p. 2363 | DOI:10.1134/s1995080224602479
  • Matevossian, Hovik A. Steklov Biharmonic Problem with Weighted Dirichlet Integral, Lobachevskii Journal of Mathematics, Volume 45 (2024) no. 8, p. 3629 | DOI:10.1134/s1995080224604399
  • Xia, Chao; Xiong, Changwei Escobar’s Conjecture on a Sharp Lower Bound for the First Nonzero Steklov Eigenvalue, Peking Mathematical Journal, Volume 7 (2024) no. 2, p. 759 | DOI:10.1007/s42543-023-00068-2
  • Han Tan, Chee; Viator, Robert Steklov eigenvalues of nearly hyperspherical domains, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 480 (2024) no. 2287 | DOI:10.1098/rspa.2023.0734
  • Jiang, Jiantao; An, Jing; Zhou, Jianwei A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems, Discrete and Continuous Dynamical Systems - B, Volume 28 (2023) no. 1, p. 50 | DOI:10.3934/dcdsb.2022066
  • Matevossian, Hovik A. Steklov–Neumann Biharmonic Problem in Weighted Spaces, Lobachevskii Journal of Mathematics, Volume 44 (2023) no. 12, p. 5341 | DOI:10.1134/s1995080223120247
  • Migliaccio, G.; Matevossian, H. A. Steklov–Farwig Biharmonic Problem in Exterior Domains, Lobachevskii Journal of Mathematics, Volume 44 (2023) no. 6, p. 2413 | DOI:10.1134/s1995080223060379
  • Deng, Haiyun; Yin, Jiabin The overdetermined problem and lower bound estimate on the first nonzero Steklov eigenvalue of p-Laplacian, Annali di Matematica Pura ed Applicata (1923 -), Volume 201 (2022) no. 5, p. 2037 | DOI:10.1007/s10231-022-01190-1
  • Shi, Yongjie; Yu, Chengjie Dirichlet-to-Neumann maps for differential forms on graphs and their eigenvalues, Journal of Mathematical Analysis and Applications, Volume 515 (2022) no. 2, p. 126451 | DOI:10.1016/j.jmaa.2022.126451
  • Migliaccio, Giovanni; Matevossian, Hovik A. Mixed Biharmonic Problem with the Steklov-type and Neumann Boundary Conditions in Unbounded Domains, Lobachevskii Journal of Mathematics, Volume 43 (2022) no. 11, p. 3222 | DOI:10.1134/s1995080222140256
  • Shi, Yongjie; Yu, Chengjie Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs, Proceedings of the American Mathematical Society, Volume 150 (2022) no. 4, p. 1505 | DOI:10.1090/proc/15866
  • Xiong, Changwei On the Spectra of Three Steklov Eigenvalue Problems on Warped Product Manifolds, The Journal of Geometric Analysis, Volume 32 (2022) no. 5 | DOI:10.1007/s12220-022-00889-0
  • Xiong, Changwei Optimal Estimates for Steklov Eigenvalue Gaps and Ratios on Warped Product Manifolds, International Mathematics Research Notices, Volume 2021 (2021) no. 22, p. 16938 | DOI:10.1093/imrn/rnz258
  • Girouard, Alexandre; Lagacé, Jean Large Steklov eigenvalues via homogenisation on manifolds, Inventiones mathematicae, Volume 226 (2021) no. 3, p. 1011 | DOI:10.1007/s00222-021-01058-w
  • Shi, Yongjie; Yu, Chengjie Rigidity of a trace estimate for Steklov eigenvalues, Journal of Differential Equations, Volume 278 (2021), p. 50 | DOI:10.1016/j.jde.2020.12.036
  • Migliaccio, Giovanni; Matevossian, Hovik A. Exterior Biharmonic Problem with the Mixed Steklov and Steklov-Type Boundary Conditions, Lobachevskii Journal of Mathematics, Volume 42 (2021) no. 8, p. 1886 | DOI:10.1134/s1995080221080205
  • Chechkina, Aleksandra G.; D’Apice, Ciro; De Maio, Umberto Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition, Journal of Computational and Applied Mathematics, Volume 376 (2020), p. 112802 | DOI:10.1016/j.cam.2020.112802
  • Abreu, Jamil; Madeira, Gustavo F. Generalized eigenvalues of the (P, 2)-Laplacian under a parametric boundary condition, Proceedings of the Edinburgh Mathematical Society, Volume 63 (2020) no. 1, p. 287 | DOI:10.1017/s0013091519000403
  • Chechkina, Aleksandra G.; D’Apice, Ciro; De Maio, Umberto Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system, Applicable Analysis, Volume 98 (2019) no. 1-2, p. 32 | DOI:10.1080/00036811.2017.1416104
  • Mao, Jinxiu; Zhao, Zengqin; Qian, Aixia Laplace’s equation with concave and convex boundary nonlinearities on an exterior region, Boundary Value Problems, Volume 2019 (2019) no. 1 | DOI:10.1186/s13661-019-1163-7
  • Popivanov, Petar, RENEWABLE ENERGY SOURCES AND TECHNOLOGIES, Volume 2161 (2019), p. 030028 | DOI:10.1063/1.5127493
  • Romani, Giulio Positivity for fourth-order semilinear problems related to the Kirchhoff–Love functional, Analysis PDE, Volume 10 (2017) no. 4, p. 943 | DOI:10.2140/apde.2017.10.943
  • Chechkina, A. G. Estimate of the spectrum deviation of the singularly perturbed Steklov problem, Doklady Mathematics, Volume 96 (2017) no. 2, p. 510 | DOI:10.1134/s1064562417050301
  • Shi, Yongjie; Yu, Chengjie Trace and inverse trace of Steklov eigenvalues II, Journal of Differential Equations, Volume 262 (2017) no. 3, p. 2592 | DOI:10.1016/j.jde.2016.11.018
  • Чечкина, А. Г. ОЦЕНКА ОТКЛОНЕНИЯ СПЕКТРА СИНГУЛЯРНО ВОЗМУЩЁННОЙ ЗАДАЧИ СТЕКЛОВА, "Доклады Академии наук", Доклады Академии Наук (2017) no. 6, p. 621 | DOI:10.7868/s0869565217300041
  • Matculevich, Svetlana; Repin, Sergey Explicit Constants in Poincaré-Type Inequalities for Simplicial Domains and Application to A Posteriori Estimates, Computational Methods in Applied Mathematics, Volume 16 (2016) no. 2, p. 277 | DOI:10.1515/cmam-2015-0037
  • Shi, Yongjie; Yu, Chengjie Trace and inverse trace of Steklov eigenvalues, Journal of Differential Equations, Volume 261 (2016) no. 3, p. 2026 | DOI:10.1016/j.jde.2016.04.023
  • Sogge, Christopher; Wang, Xing; Zhu, Jiuyi Lower bounds for interior nodal sets of Steklov eigenfunctions, Proceedings of the American Mathematical Society, Volume 144 (2016) no. 11, p. 4715 | DOI:10.1090/proc/13067
  • Fan, Xu-Qian; Tam, Luen-Fai; Yu, Chengjie Extremal problems for Steklov eigenvalues on annuli, Calculus of Variations and Partial Differential Equations, Volume 54 (2015) no. 1, p. 1043 | DOI:10.1007/s00526-014-0816-8
  • Bellová, Katarína; Lin, Fang-Hua Nodal sets of Steklov eigenfunctions, Calculus of Variations and Partial Differential Equations, Volume 54 (2015) no. 2, p. 2239 | DOI:10.1007/s00526-015-0864-8
  • Zhu, Jiuyi Doubling Property and Vanishing Order of Steklov Eigenfunctions, Communications in Partial Differential Equations, Volume 40 (2015) no. 8, p. 1498 | DOI:10.1080/03605302.2015.1025980
  • Chechkin, Gregory A.; D' Apice, Ciro; De Maio, Umberto; Gadyl'shin, Rustem R. On a singularly perturbed Steklov problem in a domain perforated along the boundary, Comptes Rendus. Mécanique, Volume 344 (2015) no. 1, p. 12 | DOI:10.1016/j.crme.2015.09.001
  • Raulot, S.; Savo, A. On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain, Journal of Geometry and Physics, Volume 77 (2014), p. 1 | DOI:10.1016/j.geomphys.2013.11.002
  • Simão Antunes, Pedro Ricardo; Gazzola, Filippo Convex shape optimization for the least biharmonic Steklov eigenvalue, ESAIM: Control, Optimisation and Calculus of Variations, Volume 19 (2013) no. 2, p. 385 | DOI:10.1051/cocv/2012014
  • Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre Isoperimetric control of the Steklov spectrum, Journal of Functional Analysis, Volume 261 (2011) no. 5, p. 1384 | DOI:10.1016/j.jfa.2011.05.006

Cité par 41 documents. Sources : Crossref