53 citations · 307 across the 52 of their papers we have counts for
5 papers · 1 filter
Concentration on minimal submanifolds for a Yamabe type problem
Shengbing Deng, Monica Musso, Angela Pistoia
We construct solutions to a Yamabe type problem on a Riemannian manifold M without boundary and of dimension greater than 2, with nonlinearity close to higher critical Sobolev expo…
Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem
Monica Musso, Juncheng Wei
We provide the first example of a sequence of {\em nondegenerate}, in the sense of Duyckaerts-Kenig-Merle \cite{DKM}, nodal nonradial solutions to the critical Yamabe problem $$ -Δ…
Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole
I. Ianni, M. Musso, A. Pistoia
We consider the critical heat equation \begin{equation} \label{CH}\tag{CH} \begin{array}{lr} v_t-Δv =|v|^{\frac{4}{n-2}}v & Ω_ε\times (0, +\infty) \\ v=0 & \partialΩ_ε\times (0, +\…
New blow-up phenomena for SU(n+1) Toda system
Monica Musso, Angela Pistoia, Juncheng Wei
We consider the Toda system $$(S_λ) \quad \left\{ \begin{aligned} & Δu_1 + 2λe^{u_1} - λe^{u_2}- \dots - λe^{u_k} = 0\quad \hbox{in}\ Ω,\\ & Δu_2 - λe^{u_1} + 2λe^{u_2} -…
Solutions without any symmetry for semilinear elliptic problems
Weiwei Ao, Monica Musso, Frank Pacard +1
We prove the existence of infinitely many solitary waves for the nonlinear Klein-Gordon or Schrödinger equation in , which have finite energy and wh…