We prove the non-degeneracy of the extremals of the Sobolev inequalityintegral(RN) vertical bar del u vertical bar(p) dx >= S-p integral(RN) vertical bar u vertical bar(Np/N-p) dx, u is an element of D-1,D-p(R-N)when 1 < p < N, as solutions of a critical quasilinear equation involving the p-Laplacian.
Nondegeneracy of the bubble for the critical p-Laplace equation
Giusi Vaira
2021-01-01
Abstract
We prove the non-degeneracy of the extremals of the Sobolev inequalityintegral(RN) vertical bar del u vertical bar(p) dx >= S-p integral(RN) vertical bar u vertical bar(Np/N-p) dx, u is an element of D-1,D-p(R-N)when 1 < p < N, as solutions of a critical quasilinear equation involving the p-Laplacian.File in questo prodotto:
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