• DML-CZ Home

35P15 Estimation of eigenvalues, upper and lower bounds (25 articles)

• Sabatini, Luca: Spectral estimates of vibration frequencies of anisotropic beams. (English). Applications of Mathematics, vol. 68 (2023), issue 1, pp. 15-33
• Lu, Wei; Mao, Jing; Wu, Chuanxi: A universal bound for lower Neumann eigenvalues of the Laplacian. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 2, pp. 473-482
• Benedikt, Jiří: Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 215-222
• Filinovskiy, Alexey: On the eigenvalues of a Robin problem with a large parameter. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 341-352
• Krejčiřík, David: Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 185-193
• Andreev, Andrey; Racheva, Milena: Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 371-390
• Li, Qin; Lin, Qun; Xie, Hehu: Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 129-151
• Dai, Xiaoying; He, Lianhua; Zhou, Aihui: Adaptive finite element analysis based on perturbation arguments. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 62-71
• Lin, Qun; Xie, Hehu: A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 134-143
• Filinovskiy, Alexey: Spectrum of the weighted Laplace operator in unbounded domains. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 415-427
• Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin: Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 1-15
• Chen, Hongtao; Jia, Shanghui; Xie, Hehu: Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 237-250
• Djellit, Ali; Tas, Saadia: Study of some noncooperative linear elliptic systems. (English). Applications of Mathematics, vol. 49 (2004), issue 3, pp. 185-199
• Somberg, Petr: BGG sequences on spheres. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 3, pp. 509-527
• Vanmaele, M.; van Keer, R.: On an internal approximation of a class of elliptic eigenvalue problems. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 301-304
• Goerisch, Friedrich; Albrecht, Julius: The convergence of a new method for calculating lower bounds to eigenvalues. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [303]-308
• Regińska, Teresa: Convergence of approximation methods for eigenvalue problem for two forms. (English). Aplikace matematiky, vol. 29 (1984), issue 5, pp. 333-341
• Rektorys, Karel: A proof of monotony of the Temple quotients in eigenvalue problems. (English). Aplikace matematiky, vol. 29 (1984), issue 2, pp. 149-158
• Goerisch, Friedrich; Albrecht, Julius: Untere Schranken für die Eigenwerte Stekloffscher Eigenwertaufgaben. (German) [Lower bounds for the eigenvalues of Steklov eigenvalue problems]. In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 9-13
• Velte, Waldemar: Bounds for eigenvalues of differential equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 348-351
• Rektorys, Karel; Vospěl, Zdeněk: On a method of two-sided eigenvalue estimates for elliptic equations of the form $Au-\lambda Bu=0$. (English). Aplikace matematiky, vol. 26 (1981), issue 3, pp. 211-240
• Kaufman, R.: A nonlinear operator in potential theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 4, pp. 731-735
• Müller-Pfeiffer, Erich: Über Verallgemeinerungen des Virialsatzes und Existenzfragen von Eigenwerten bei Schrödingeroperatoren. (German) [On generalizations of the Virial theorem and questions of existence for eigenvalues of the Schrödinger operators]. Czechoslovak Mathematical Journal, vol. 26 (1976), issue 3, pp. 458-469
• Weinelt, W.: A method of BAZLEY-FOX type for the eingenvalues of the LAPLACE operator. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 167-169
• Bramble, J. H.: On the approximation of eigenvalues of non-selfadjoint operators. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 15-19