Authors

John Villavert

Document Type

Article

Publication Date

2020

Abstract

This article studies the qualitative and quantitative properties of radial solutions to an elliptic equation related to the Euler–Lagrange equations for certain sharp Caffarelli–Kohn–Nirenberg inequalities. Namely, we examine the equation

−div(|x|aDu)=|x|bup, u>0, in RN, where p>1, N≥2, N−2+a≥0 and b>−N. The main results establish the properties of radially symmetric solutions including existence, uniqueness, and classification results as well as results on the asymptotic and intersecting behaviour of such solutions.

Comments

© 2020 Springer Nature Switzerland AG. Original published version available at https://doi.org/10.1007/s10231-019-00879-0

Publication Title

Annali di Matematica

DOI

10.1007/s10231-019-00879-0

Included in

Mathematics Commons

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