An elliptic problem with critical exponent and positive Hardy potential
We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2004-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337504311036 |
| id |
doaj-0aee021555ca40a0bc5a5b3f4eba5f5f |
|---|---|
| record_format |
Article |
| spelling |
doaj-0aee021555ca40a0bc5a5b3f4eba5f5f2020-11-25T00:04:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092004-01-0120042919810.1155/S1085337504311036An elliptic problem with critical exponent and positive Hardy potentialShaowei Chen0Shujie Li1Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, ChinaInstitute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, ChinaWe give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.http://dx.doi.org/10.1155/S1085337504311036 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shaowei Chen Shujie Li |
| spellingShingle |
Shaowei Chen Shujie Li An elliptic problem with critical exponent and positive Hardy potential Abstract and Applied Analysis |
| author_facet |
Shaowei Chen Shujie Li |
| author_sort |
Shaowei Chen |
| title |
An elliptic problem with critical exponent and positive Hardy potential |
| title_short |
An elliptic problem with critical exponent and positive Hardy potential |
| title_full |
An elliptic problem with critical exponent and positive Hardy potential |
| title_fullStr |
An elliptic problem with critical exponent and positive Hardy potential |
| title_full_unstemmed |
An elliptic problem with critical exponent and positive Hardy potential |
| title_sort |
elliptic problem with critical exponent and positive hardy potential |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2004-01-01 |
| description |
We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1. |
| url |
http://dx.doi.org/10.1155/S1085337504311036 |
| work_keys_str_mv |
AT shaoweichen anellipticproblemwithcriticalexponentandpositivehardypotential AT shujieli anellipticproblemwithcriticalexponentandpositivehardypotential AT shaoweichen ellipticproblemwithcriticalexponentandpositivehardypotential AT shujieli ellipticproblemwithcriticalexponentandpositivehardypotential |
| _version_ |
1725429036589514752 |