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Details for article 3 of 13 found articles
| Title: |
Existence and asymptotic behavior of solutions for Hénon type equations |
| Author: |
Wei Long Jianfu Yang |
| Appeared in: |
Opuscula mathematica |
| Paging: | Volume 31 (2011) nr. 3 pages 411-424 |
| Year: |
2011 |
| Contents: |
This paper is concerned with ground state solutions for the Hénon type equation $-\Delta u(x)=|y|^{\alpha} u^{p-1}(x)$ in $\Omega$, where $\Omega=B^k(0,1)\times B^{n-k}(0,1)\subset \r^n$ and $x=(y,z) \in \r^k imes \r^{n-k}.$ We study the existence of cylindrically symmetric and non-cylindrically symmetric ground state solutions for the problem. We also investigate asymptotic behavior of the ground state solution when $p$ tends to the critical exponent $2^*=\frac {2n}{n-2}$ if $n\geq 3.$ |
| Publisher: |
AGH University of Science and Technology (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 3 of 13 found articles
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