Results 41 to 50 of about 686 (96)

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

Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods [PDF]

, 2010
We consider Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbitrary way.
Borisov, D., Cardone, G.
core   +2 more sources

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

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

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

Adaptation and migration of a population between patches

, 2012
A Hamilton-Jacobi formulation has been established previously for phenotypically structured population models where the solution concentrates as Dirac masses in the limit of small diffusion. Is it possible to extend this approach to spatial models?
Mirrahimi, Sepideh
core   +4 more sources

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