A nonradial bifurcation result with applications to supercritical problems

作者：Amadori Anna Lisa^*; Gladiali Francesca

来源：Journal of Mathematical Analysis and Applications, 2016, 440(1): 106-126.

DOI：10.1016/j.jmaa.2016.03.034

• Semilinear elliptic equations
• Bifurcation
• Nonradial solutions

In this paper we consider the problem
{-Delta u = vertical bar x vertical bar F-alpha(u) in R-N
u > 0 in R-N
where alpha > 0 and N >= 3. Under some assumptions on F we deduce the existence of nonradial solutions which bifurcate from the radial one when alpha is an even integer.

• 出版日期2016-8-1