Classification of positive -solutions to the critical p-Laplace equation in

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• 作者：Berardino Sciunzi ^{sciunzi@mat.unical.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35J92 ; 35B33 ; 35B06
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：19 March 2016
• 年：2016
• 卷：291
• 期：Complete
• 页码：12-23
• 全文大小：318 K

文摘

We provide the classification of the positive solutions to −Δ_pu=u^p⁎−1$-{\mathrm{\Delta }}_{p}u=u^{p^{⁎}-1}$ in D^1,p(R^N)${\mathcal{D}}^{1,p}({\mathbb{R}}^N)$ in the case 2<p<N$2<p<N$. Since the case 1<p≤2$1<p\le 2$ is already known this provides the complete classification for 1<p<N$1<p<N$.