Results 31 to 40 of about 93 (92)

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

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

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

Infinitely many new solutions for a nonlinear coupled Schrödinger system

Advances in Nonlinear Analysis
We revisit the following nonlinear Schrödinger system−ϵ2Δu+P(x)u=μ1u3+βuv2,inR3,−ϵ2Δv+Q(x)v=μ2v3+βu2v,inR3, $$\begin{cases}-{{\epsilon}}^{2}{\Delta}u+P\left(x\right)u={\mu }_{1}{u}^{3}+\beta u{v}^{2},\hfill & \text{in} {\mathbb{R}}^{3},\hfill ...
Wang Qingfang, Zhai Mingxue
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

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

Limiting profile of positive solutions to heterogeneous elliptic BVPs with nonlinear flux decaying to negative infinity on a portion of the boundary

Open Mathematics
This paper ascertains the limiting profile of the positive solutions of heterogeneous logistic elliptic boundary value problems under nonlinear mixed boundary conditions.
Cano-Casanova Santiago
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

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

On a Mathematical Model for Hot Carrier Injection in Semiconductors

, 2007
We study a collisionless transport model for electrons in a semiconductor, and we perform an asymptotic analysis for low temperatures or large applied biases. We derive analytic relations for the built-in potential and for the current which flows through
Naoufel Ben, Christian Schmeiser, Pierre Degond   +2 more
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