Nonnegative radial solutions to a class of elliptic equations involving the Pucci's extremal operator

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• 作者：Wei Li ; Jiangang Cheng
• 关键词：Pucci's extremal operator ; Leray– ; Schauder degree ; Nonnegative radial solution
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2008
• 出版时间：1 May 2008
• 年：2008
• 卷：341
• 期：1
• 页码：386-397
• 全文大小：156 K

文摘

In this article we use Leray–Schauder degree to consider the existence of nonnegative radially symmetric solution for the nonlinear elliptic equation in B_R, y=0 on ∂B_R, where fa25d19fa7598d896519ba6905068""> denotes the Pucci's extremal operators with parameters 0<λΛ and B_R is the ball of radius R in R^N, N3. As an application we can obtain the results to equation , where and 0<q<p.