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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 10
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Articles

Asymptotic behavior for the principal eigenvalue of a reinforcement problem

Pages 1946-1958 | Received 24 Jan 2018, Accepted 26 Aug 2018, Published online: 10 Sep 2018

References

  • Friedman A. Reinforcement of the principal eigenvalue of an elliptic operator. Arch Rational Mech Anal. 1980;73:1–17. doi: 10.1007/BF00283252
  • Rosencrans S, Wang X. Suppression of the Dirichlet eigenvalues of a coated body. SIAM J Appl Math. 2006;66:1895–1916. doi: 10.1137/040621181
  • Gómez D, Lobo M, Nazarov SA, et al . Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues. J Math Pures Appl. 2006;85:598–632. doi: 10.1016/j.matpur.2005.10.013
  • Jimbo S. S. Kosugi: approximation of eigenvalues of elliptic operators with discontinuous coefficients. Comm Partial Differential Equations. 2003;28:1303–1323. doi: 10.1081/PDE-120024370
  • Panasenko GP. Asymptotics of the solutions and eigenvalues of elliptic equations with strongly varying coefficients. Soviet Math Dokl. 1980;21:942–947.
  • Jimbo S, Kurata K. Asymptotic behavior of eigenvalues of the Laplacian with the mixed boundary condition and its application. Indiana Univ Math J. 2016;63:867–898.
  • Schatzman M. On the eigenvalues of the Laplace operator on a thin set with Neumann boundary conditions. Appl Anal. 1996;61:293–306. doi: 10.1080/00036819608840461
  • Yachimura T. Two-phase eigenvalue problem on thin domains with Neumann boundary condition. Diff Integ Eq. 2018;31:735–760.
  • Brezis H, Caffarelli L, Friedman A. Reinforcement problems for elliptic equations and variational inequalities. Ann Mat Pura Appl. 1980;123:219–246. doi: 10.1007/BF01796546

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