Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Monica Musso"'
Autor:
Lipeng Duan, Monica Musso
Publikováno v:
Journal of Differential Equations. 336:479-504
Note: Please see pdf for full abstract with equations. We consider the prescribed scalar curvature problem on SN ΔSN v −N(N − 2)/2 v + K̃ (y)v N+2/N−2 = 0 on SN, v > 0 in SN, under the assumptions that the scalar curvature K̃ is rot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa0651c9861516c4bfd9a7c1eadb5041
https://doi.org/10.21203/rs.3.rs-2470846/v1
https://doi.org/10.21203/rs.3.rs-2470846/v1
Publikováno v:
Kim, S, Musso, M & Wei, J 2021, ' Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary ', Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, vol. 38, no. 6, pp. 1763-1793 . https://doi.org/10.1016/j.anihpc.2021.01.005
We concern $C^2$-compactness of the solution set of the boundary Yamabe problem on smooth compact Riemannian manifolds with boundary provided that their dimensions are $4$, $5$ or $6$. By conducting a quantitative analysis of a linear equation associ
Publikováno v:
del Pino, M, Musso, M & Wei, J 2021, ' EXISTENCE AND STABILITY OF INFINITE TIME BUBBLE TOWERS IN THE ENERGY CRITICAL HEAT EQUATION ', Analysis and PDE, vol. 14, no. 5, pp. 1557-1598 . https://doi.org/10.2140/apde.2021.14.1557
We consider the energy critical heat equation in $\mathbb R^n$ for $n\ge 7$ $$\left\{ \begin{aligned} u_t & = \Delta u+ |u|^{\frac 4{n-2}}u \hbox{ in }\ \mathbb R^n \times (0, \infty), \\ u(\cdot,0) & = u_0 \ \hbox{ in }\ \mathbb R^n, \end{aligned}\r
Autor:
Monica Musso, Maria Medina
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 152:145-188
We construct a new family of entire solutions to the Yamabe equation − Δ u = n ( n − 2 ) 4 | u | 4 n − 2 u in D 1 , 2 ( R n ) . If n = 3 our solutions have maximal rank, being the first example in odd dimension. Our construction has analogies
Publikováno v:
Davila, J, Del Pino, M, Musso, M & Wei, J 2022, ' Travelling helices and the vortex filament conjecture in the incompressible Euler equations ', Calculus of Variations and Partial Differential Equations, vol. 61, no. 4, 119 . https://doi.org/10.1007/s00526-022-02217-4
We consider the Euler equations in $$\mathbb R^3$$ R 3 expressed in vorticity form $$\begin{aligned} \left\{ \begin{array}{l} \vec \omega _t + (\mathbf{u}\cdot {\nabla } ){\vec \omega } =( \vec \omega \cdot {\nabla } ) \mathbf{u} \\ \mathbf{u} = \mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be9626d88374169d9caaf10cea507758
https://purehost.bath.ac.uk/ws/files/237294754/2007.00606.pdf
https://purehost.bath.ac.uk/ws/files/237294754/2007.00606.pdf
Publikováno v:
Journal of the European Mathematical Society. 23:3017-3073
We consider the prescribed scalar curvature problem on $ {\mathbb{S}}^N $ $$ \Delta_{{\mathbb S}^N} v-\frac{N(N-2)}{2} v+\tilde{K}(y) v^{\frac{N+2}{N-2}}=0 \quad \mbox{on} \ {\mathbb S}^N, \qquad v >0 \quad \mbox{on} \ {\mathbb S}^N, $$ under the ass
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf7f17bd5db9191ffc770370506b78bc
http://arxiv.org/abs/2205.14482
http://arxiv.org/abs/2205.14482
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:3327-3355
We consider the Cauchy problem for the energy critical heat equation \begin{document}$ \begin{equation} \left\{ \begin{aligned} u_t & = \Delta u + u^3 {\quad\hbox{in } }\ \mathbb R^4 \times (0, T), \\ u(\cdot, 0) & = u_0 {\quad\hbox{in } } \mathbb R^
Autor:
Monica Musso
Publikováno v:
Notices of the American Mathematical Society. 69:1