singular critical elliptic problems with fractional laplacian
Clicks: 57
ID: 160007
2015
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
Emerging Content
16.8
/100
57 views
9 readers
AI Quality Assessment
Not analyzed
Readership in this journal
EmergingRanked #174 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 existence of solutions of the critical
problem with a Hardy term for fractional Laplacian
$$\displaylines{
(-\Delta)^s u -\mu \frac u{|x|^{2s}}= u^{2^*_s-1} \quad \text{in }\Omega,\cr
u>0 \quad \text{in }\Omega, \cr
u=0 \quad \text{on }\partial \Omega,
}$$
where $\Omega\subset \mathbb{R}^N$ is a smooth bounded domain and
$0\in\Omega$, $\mu$ is a positive parameter, $N>2s$ and $s\in(0,1)$,
$2^*_{s} =\frac{2N}{N-2s}$ is the critical exponent.
$(-\Delta)^s$ stands for the spectral fractional Laplacian.
Assuming that $\Omega$ is non-contractible, we show that there exists
$\mu_0>0$ such that $0<\mu<\mu_0$, there exists a solution.
We also discuss a similar problem for the restricted fractional Laplacian.
Abstract Quality Issue:
This abstract appears to be incomplete or contains metadata (105 words).
Try re-searching for a better abstract.
| Reference Key |
wang2015electronicsingular
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;Xueqiao Wang;Jianfu Yang |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2015 |
| DOI |
DOI not found
|
| URL | |
| Keywords |
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.