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Hardy-Sobolev critical equation with boundary singularity: multiplicity and stability of the Pohozaev obstruction. Robert, Frédéric
Description
Let $\Omega$ be a smooth bounded domain in $\mathbb{R}^n$ ($n\geq 3$) such that $0\in\partial \Omega$. In this talk, we consider issues of non-existence, existence, and multiplicity of variational solutions for the borderline Dirichlet problem,
$$
\left\{ \begin{array}{llll}
-\Delta u-\gamma \frac{u}{|x|^2}- h(x) u
&=& \frac{|u|^{2^\star(s)-2}u}{|x|^s} \ \ &\text{in } \Omega,\\
\hfill u&=&0 &\text{on }\ \partial\Omega,
\end{array} \right.\eqno{(E)}
$$
where $0
Item Metadata
| Title |
Hardy-Sobolev critical equation with boundary singularity: multiplicity and stability of the Pohozaev obstruction.
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2019-05-08T14:03
|
| Description |
Let $\Omega$ be a smooth bounded domain in $\mathbb{R}^n$ ($n\geq 3$) such that $0\in\partial \Omega$. In this talk, we consider issues of non-existence, existence, and multiplicity of variational solutions for the borderline Dirichlet problem,
$$
\left\{ \begin{array}{llll}
-\Delta u-\gamma \frac{u}{|x|^2}- h(x) u
&=& \frac{|u|^{2^\star(s)-2}u}{|x|^s} \ \ &\text{in } \Omega,\\
\hfill u&=&0 &\text{on }\ \partial\Omega,
\end{array} \right.\eqno{(E)}
$$
where $0
|
| Extent |
33.0 minutes
|
| Subject | |
| Type | |
| File Format |
video/mp4
|
| Language |
eng
|
| Notes |
Author affiliation: Universite de Lorraine
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| Series | |
| Date Available |
2019-11-05
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0384925
|
| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International