AN ALTERNATIVE APPROACH TO CRITICAL PDES

作者：Labropoulos Nikos^*

来源：Electronic Journal of Differential Equations, 2017, 150.

• Laplacian
• non-radial solution
• critical exponent

In this article, we use an alternative method to prove the existence of an infinite sequence of distinct non-radial nodal G-invariant solutions for critical nonlinear elliptic problems defined in the whole the Euclidean space. Our proof is via approximation of the problem on symmetric bounded domains. The base model problem of interest originating from Physics is stated below:
-Delta u = vertical bar u vertical bar 4/n-2u, u epsilon C-2(R-n), n >= 3.

• 出版日期2017-6-23