Abstract
We discuss existence and non-existence of positive solutions for the following system of Hardy and Hénon type:
where \({\Omega\ni 0}\) is a bounded domain in \({\mathbb{R}^{N}}\) , N ≥ 3, p, q > 1, and α, β > −N. We also study symmetry breaking for ground states when Ω is the unit ball in \({\mathbb{R}^{N}}\) .
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Calanchi, M., Ruf, B. Radial and non radial solutions for Hardy–Hénon type elliptic systems. Calc. Var. 38, 111–133 (2010). https://doi.org/10.1007/s00526-009-0280-z
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DOI: https://doi.org/10.1007/s00526-009-0280-z