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math.AP2019
Normalized concentrating solutions to nonlinear elliptic problems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We prove the existence of solutions of the elliptic problem \[ \begin{cases} -Δv+(V(x)+λ) v =v^{p}\ &\text{ in } \ v>0,\qquad \int_Ωv^2\…
math.AP2019★ 8 cited
Nondegeneracy of the bubble for the critical p-Laplace equation
Angela Pistoia, Giusi Vaira
We prove the non-degeneracy of the extremals of the Sobolev inequality $$\int\limits_{\mathbb R^N}|\nabla u|^pdx\ge \mathcal S_p\int\limits_{\mathbb R^N}|u|^{Np\over N-p}dx,\ u\in…