The sharpness of some results on stable solutions of -Delta u = f(u) in R-N

作者：Angel Navarro Miguel; Villegas Salvador^*

来源：Journal of Mathematical Analysis and Applications, 2013, 397(2): 693-696.

DOI：10.1016/j.jmaa.2012.08.022

• Stability
• Sharpness results

In this note we give a complete answer to a question raised by Dupaigne and Farina (2009) [8] related to the existence of nonconstant stable solutions of the equation -Delta u = f(u) in R-N. where N %26lt;= 9 and f is a very general non-negative, non-decreasing and convex nonlinearity.

• 出版日期2013-1-15