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math.AP2002
Some existence results for the Webster scalar curvature problem in presence of symmetry
Veronica Felli, Francesco Uguzzoni
We prove some existence results for the Webster scalar curvature problem on the Heisenberg group and on the unit sphere of , under the assumption of some natural…
math.AP2002
Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case
Veronica Felli, Emmanuel Hebey, Frederic Robert
In this paper we study the energy function associated to fourth order equations of critical growth on smooth compact conformally flat manifolds of dimension greater or equal than 5…
math.AP2002
Perturbation results of critical elliptic equations of Caffarelli-Kohn-Nirenberg type
Veronica Felli, Matthias Schneider
We find for small positive solutions to the equation \[-\textrm{div} (|x|^{-2a}\nabla u)-\displaystyle{\fracλ{|x|^{2(1+a)}}} u= \Big(1+εk(x)\Big)\frac{u^{p-1}}{|x|^{bp}}\] in $…