WebThis paper is devoted to the asymptotic analysis of the first eigenpair for singularly perturbed spectral problem, depending on the small parameter ε > 0, for the elliptic equation εaij(x) ∂2u ε ∂xi∂xj +bi(x) ∂uε ∂xi +c(x)uε = λεu (1.1) in a smooth bounded domain Ω ⊂ RN with the boundary condition ∂uε ∂ν = 0, (1.2) on ... Web21. jan 2014. · Given a smooth Riemannian manifold (M,g)we investigate the existence of positive solutions to a singularly perturbed supercritical elliptic equation which concentrate at some submanifold of M. We obtain a posive answer for some manifolds, which include warped products.
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WebSingularly Perturbed Elliptic Equations with Symmetry II 301 The radii of concentration in Theorem 1.4 may in general vary with 8. Re quiring concentration at a fixed set, one … WebOn One Singularly Perturbed System of Ordinary Differential Equations with Multiple Root of the Degenerate Equation. ... S. Agmon Lectures on elliptic boundary value problems, … hosted concourse
[2203.07464] A singularly perturbed fractional Kirchhoff problem
Web01. jan 2006. · We consider the Dirichlet problem for a singularly perturbed elliptic convection-diffusion equation in the quarter plane {( x 1 , x 2 ) : x 1 , x 2 ≥ 0}. The highest derivatives of the equation and the first derivative along the x 2 -axis contain, respectively, the parameters ॉ 1 and ॉ 2 , which take arbitrary values from the half-open interval (0,1 … WebON A SINGULARLY PERTURBED ELLIPTIC EQUATION YanYan Li* Department of Mathematics, Rutgers University, New Brunswick, NJ 08903 (Submitted by: Haim Brezis) … WebWe consider a linear singularly perturbed elliptic equation on a bounded domain in $\mbox{\smallBbb R}^n$. This equation serves as a model for the interplay between the … hosted company