| Title:
|
Positive solutions for elliptic problems with critical nonlinearity and combined singularity (English) |
| Author:
|
Chen, Jianqing |
| Author:
|
Rocha, Eugénio M. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
413-422 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Consider a class of elliptic equation of the form $$ -\Delta u - {\lambda \over {|x|^2}}u = u^{2^\ast -1} + \mu u^{-q}\quad \mbox {in} \ \Omega \backslash \{0\} $$ with homogeneous Dirichlet boundary conditions, where $0\in \Omega \subset \mathbb R^N$($N\geq 3$), $0 < q < 1$, $0 < \lambda <(N-2)^2/4$ and $2^\ast = 2N/(N-2)$. We use variational methods to prove that for suitable $\mu $, the problem has at least two positive weak solutions. (English) |
| Keyword:
|
multiple positive solutions |
| Keyword:
|
singular nonlinearity |
| Keyword:
|
critical nonlinearity |
| Keyword:
|
Hardy term |
| MSC:
|
35J20 |
| MSC:
|
35J65 |
| idZBL:
|
Zbl 1224.35084 |
| idMR:
|
MR2681015 |
| DOI:
|
10.21136/MB.2010.140832 |
| . |
| Date available:
|
2010-11-24T08:28:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140832 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
