Abstract
We consider positive solutions of −div(|x|−2a∇u)=|x|−bpup−1, u⩾0 in RN, where for N⩾2: a<(N−2)/2, a<b<a+1, and p=2N/(N−2(1+a−b)). Ground state solutions are the extremal functions of the Caffarelli–Kohn–Nirenberg inequalities [6]. In [10] the authors have observed symmetry breaking phenomena for ground state solutions in a subregion of the parameters. In this paper, we continue our study on the structure of bound state solutions and construct bound state solutions having prescribed symmetry.
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More From: Annales de l'Institut Henri Poincaré / Analyse non linéaire
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