OpenAlex | Nondegeneracy of the bubble for the critical <i>p</i>-Laplace equation

Nondegeneracy of the bubble for the critical p-Laplace equation

Work

Year: 2020

Type: article

Abstract: We prove the non-degeneracy of the extremals of the Sobolev inequality \[ \int_{\mathbb R^N}|\nabla u|^p\,\rd x\ge \mathcal S_p\int_{\open R^N}|u|^\frac{Np}{N-p}\,\rd x,\quad u\in \mathcal D^{1,p}(\o... more

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

Authors Angela Pistoia, Giusi Vaira

Institutions Sapienza University of Rome, University of Campania "Luigi Vanvitelli"

Cites: 28

Cited by: 7

Related to: 10

FWCI: 0.996

Citation percentile (by year/subfield): 66.29

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Sustainable Development Goal Reduced inequalities

Open Access status: green