In this paper, we prove that any solution of the energy-critical wave equation in space
dimensions 3, 4 or 5, which is bounded in the energy space decouples asymptotically, for a …

We consider the Yamabe equation Δu+ n (n− 2) 4| u| 4n− 2u= 0 in Rn, n⩾ 3. Let k⩾ 1 and
ξjk=(e2jπik, 0)∈ Rn= C× Rn− 2. For all large k we find a solution of the form uk (x)= U (x)−∑ …

Mathematical Analysis. – An overview on extremals and critical points of the Sobolev inequality
in convex cones, by Alberto Ro Page 1 Rend. Lincei Mat. Appl. 33 (2022), 967–995 DOI …

In this paper, we show the nondegeneracy of positive bubble solutions for generalized
energy-critical Hartree equations (NLH)\begin {equation*}-{\Delta u}\sts {x}-{\bm\alpha}\sts …

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 …

Consider the focusing energy-critical wave equation in space dimension 3, 4 or 5. In a
previous paper, we proved that any solution which is bounded in the energy space …

For the nonlinear Klein-Gordon equation in $\mathbb {R}^{1+ d} $, we prove the existence of
multi-solitary waves made of any number $ N $ of decoupled bound states. This extends the …

Alternative formats If you require this document in an alternative format, please contact:
openaccess@bath.ac.uk Page 1 Citation for published version: Musso, M & Wei, J 2015, 'Nondegeneracy …

Given an isoparametric function f on the n-dimensional sphere, we consider the space of
functions w∘ f to reduce the Yamabe equation on the round sphere into a singular ODE on …

We give conditions for the existence of regular optimal partitions, with an arbitrary number2
of components, for the Yamabe equation on a closed Riemannian manifold. M; g/. To this …