asymptotic profile of a radially symmetric solution with transition layers for an unbalanced bistable equation
Clicks: 56
ID: 195254
2006
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Steady Performance
16.5
/100
56 views
16 readers
AI Quality Assessment
Not analyzed
Readership in this journal
SteadyRanked #171 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings
Most read
Least read
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 219 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
In this article, we consider the semilinear elliptic problem $$ -varepsilon^{2}Delta u=h(|x|)^2(u-a(|x|))(1-u^2) $$ in $B_1(0)$ with the Neumann boundary condition. The function $a$ is a $C^1$ function satisfying $|a(x)|< 1$ for $xin [0,1]$ and $a'(0)=0$. In particular we consider the case $a(r)=0$ on some interval $Isubset [0,1]$. The function $h$ is a positive $C^1$ function satisfying $h'(0)=0$. We investigate an asymptotic profile of the global minimizer corresponding to the energy functional as $varepsilono 0$. We use the variational procedure used in [4] with a few modifications prompted by the presence of the function $h$.
| Reference Key |
matsuzawa2006electronicasymptotic
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;Hiroshi Matsuzawa |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2006 |
| DOI |
DOI not found
|
| URL | |
| Keywords | Keywords not found |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.