Results 31 to 40 of about 106 (70)

Asymptotic approximation for the solution to a semi-linear elliptic problem in a thin aneurysm-type domain

Open Mathematics, 2017
A semi-linear boundary-value problem with nonlinear Robin boundary conditions is considered in a thin 3D aneurysm-type domain that consists of thin curvilinear cylinders that are joined through an aneurysm of diameter 𝓞(ε). Using the multi-scale analysis,
Mel’nyk Taras A., Klevtsovskiy Arsen V.   +1 more
doaj   +1 more source

Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary condition

Advances in Nonlinear Analysis, 2017
The aim of this paper is to consider the asymptotic behavior of boundary value problems in n-dimensional domains with periodically placed particles, with a general microscopic boundary condition on the particles and a p-Laplace diffusion operator on the ...
Díaz Jesus Ildefonso, Gómez-Castro David, Podol’skii Alexander V., Shaposhnikova Tatiana A.   +3 more
doaj   +1 more source

The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations

, 1998
Abstract and Applied Analysis, Volume 3, Issue 3-4, Page 293-318, 1998.
E. N. Dancer, K. Y. Lam, S. Yan
wiley   +1 more source

Asymptotic analysis of the linearized Navier-Stokes equations in a channel

Differential and Integral Equations, 1995
In this article we study and derive explicit formulas for the boundary layers occurring in the linearized channel flows in the limit of small viscosity. Our study is based on classical boundary layer techniques combined with a new global treatment of the
R. Temam, Xiaoming Wang
semanticscholar   +1 more source

Blow up solutions for two-dimensional semilinear elliptic problem of Liouville type with nonlinear gradient terms

Demonstratio Mathematica
This work investigates the existence of singular limit solutions for nonlinear elliptic systems. Our main approach focuses on using the nonlinear domain decomposition method to establish a new Liouville-type result.
Baraket Sami, Ghorbal Anis Ben, Mahmoudi Fethi, Mtiri Foued   +3 more
doaj   +1 more source

Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain

Advances in Nonlinear Analysis, 2017
In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain.
Jung Chang-Yeol, Park Eunhee, Temam Roger   +2 more
doaj   +1 more source

Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition

Advances in Nonlinear Analysis, 2019
Let Ω ⊂ ℝ2 be a bounded domain with smooth boundary and b(x) > 0 a smooth function defined on ∂Ω. We study the following Robin boundary value problem:
Zhang Yibin, Shi Lei
doaj   +1 more source

Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type

Advances in Nonlinear Analysis, 2016
We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type with Dirichlet boundary conditions. We use the nonlinear domain decomposition method.
Trabelsi Maryem, Trabelsi Nihed
doaj   +1 more source

Existence and non-degeneracy of the normalized spike solutions to the fractional Schrödinger equations

Advances in Nonlinear Analysis
The present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
doaj   +1 more source

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj   +1 more source