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math.AP2021★ 1 cited
Infinite-time blowing-up solutions to small perturbations of the Yamabe flow
Seunghyeok Kim, Monica Musso
Under the validity of the positive mass theorem, the Yamabe flow on a smooth compact Riemannian manifold of dimension is known to exist for all time and converges to…
math.AP2021
Non-degeneracy and existence of new solutions for the Schrödinger equations
Yuxia Guo, Monica Musso, Shuangjie Peng +1
We consider the following nonlinear problem $$ (P) \quad \quad - Δu + V(|y|)u=u^{p},\quad u>0 \quad \mbox{in} \ {\mathbb{R}}^N, \quad u \in H^1({\mathbb{R}}^N), $$ where is…
math.AP2021
Non-degeneracy of multi-bump solutions for the prescribed scalar curvature equations and applications
Yuxia Guo, Monica Musso, Shuangjie Peng +1
We consider the following prescribed scalar curvature equations in $$ - Δu =K(|y|)u^{2^*-1},\quad u>0 \quad \mbox{in} \quad {\mathbb{R}}^N, \quad u \in D^{1, 2}({\…