Results 11 to 20 of about 77 (77)
Numerical modelling challenges for clinical electroporation ablation technique of liver tumors [PDF]
, 2020 International audienceElectroporation ablation is a promising non surgical and minimally invasive technique of tumor ablation, for which no monitoring is currently available.
Poignard, Clair +7 more
core +2 more sources
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
wiley +1 more source
Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
doaj +1 more source
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
wiley +1 more source
Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications [PDF]
, 1999 We prove comparison results between viscosity sub and supersolutions of degenerate elliptic and parabolic equations associated to, possibly nonlinear, Neumann boundary conditions. These results are obtained under more general assumptions on the equation (
Barles, Guy, Guy Barles
core +1 more source
On a Class of Quasilinear Elliptic Equations with Degenerate Coerciveness and Measure Data
Advanced Nonlinear Studies, 2018 We study the existence of measure-valued solutions for a class of degenerate elliptic equations with measure data. The notion of solution is natural, since it is obtained by a regularization procedure which also relies on a standard approximation of the ...
Smarrazzo Flavia
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source