Results 11 to 20 of about 635 (58)
Gap localization of TE‐modes by arbitrarily weak defects
Journal of the London Mathematical Society, Volume 95, Issue 3, Page 942-962, June 2017., 2017 Abstract This paper considers the propagation of TE‐modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation.
B. M. Brown +4 more
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HOMOGENIZATION OF THE SYSTEM OF HIGH‐CONTRAST MAXWELL EQUATIONS
Mathematika, Volume 61, Issue 2, Page 475-500, May 2015., 2015 We study the system of Maxwell equations for a periodic composite dielectric medium with components whose dielectric permittivities have a high degree of contrast between each other. We assume that the ratio between the permittivities of the components with low and high values of is of the order , where is the period of the medium.
Kirill Cherednichenko, Shane Cooper
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International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 279-283, 2002., 2002 We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x) = λg(x)u(x), x ∈ BR(0); u(x) = 0, |x| = R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.
Ghasem Alizadeh Afrouzi
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 25-29, 2002., 2002 We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x) = λg(x)u(x), x ∈ D; (∂u/∂n)(x) + αu(x) = 0, x ∈ ∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth boundary, g : D → ℝ is a smooth function which changes sign on D and α ∈ ℝ.
G. A. Afrouzi
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Advances in Nonlinear Analysis, 2021 We study positive solutions to the steady state reaction diffusion equation of the form:
Acharya A. +3 more
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Advanced Nonlinear Studies, 2021 In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
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Continuous and Lp estimates for the complex Monge‐Ampère equation on bounded domains in ℂn
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 705-707, 2002., 2002 Continuous solutions with continuous data and Lp solutions with Lp data are obtained for the complex Monge‐Ampère equation on bounded domains, without requiring any smoothness of the domains.
Patrick W. Darko
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Advanced Nonlinear Studies, 2021 We study of the regularizing effect of the interaction between the coefficient of the zero-order term and the lower-order term in quasilinear Dirichlet problems whose model ...
Arcoya David, Boccardo Lucio
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Strong unique continuation of eigenfunctions for p‐Laplacian operator
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 213-216, 2001., 2001 We show the strong unique continuation property of the eigenfunctions for p‐Laplacian operator in the case p < N.
Islam Eddine Hadi, N. Tsouli
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Moroccan Journal of Pure and Applied Analysis, 2017 In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ$B_{p,q}^{s,\tau }$, containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ ...
El Baraka Azzeddine, Masrour Mohammed
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