Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications

2021/06/29 by Guo, Yuxia, Musso, Monica, Peng, Shuangjie +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.15423

Abstract

We consider the following prescribed scalar curvature equations in ℝ^N - Δu =K(|y|)u^{2^*-1}, ugt;0 in ℝ^N, u ∈ D^{1, 2}(ℝ^N), where K(r) is a positive function, 2^*=(2N)/(N-2). We modify the methods and improve the results in [15].

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• Segregated Solutions to Critical Elliptic Systems in High Dimensions (N ≥ 5)

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