Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774951 | Journal of Mathematical Analysis and Applications | 2017 | 15 Pages |
Abstract
We consider the problem{âÎu+λu=up in Au>0 in Au=0 on âA where A is an annulus in RN, Nâ¥2, pâ(1,+â) and λâ[0,+â). Recent results ensure that there exists a sequence {pk} of exponents (pkâ+â) at which a nonradial bifurcation from the radial solution occurs. Exploiting the properties of O(Nâ1)-invariant spherical harmonics, we introduce two suitable cones K1 and K2 of O(Nâ1)-invariant functions that allow to separate the branches of bifurcating solutions getting their unboundedness.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francesca Gladiali,