Wolff’s inequality for intrinsic nonlinear potentials and quasilinear elliptic equations

We prove an analogue of Wolff’s inequality for the so-called intrinsic nonlinear potentials associated with the quasilinear elliptic equation −Δpu=σuqinRn,in the case 0

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Bibliographic Details
Published in:Nonlinear analysis 2020-05, Vol.194, p.111516, Article 111516
Main Author: Verbitsky, Igor E.
Format: Article
Language:English
Subjects:
[formula omitted]-Laplacian
Characteristic functions
Cubes
Elliptic functions
Inequality
Nonlinear potentials
Wolff’s inequality
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Summary:We prove an analogue of Wolff’s inequality for the so-called intrinsic nonlinear potentials associated with the quasilinear elliptic equation −Δpu=σuqinRn,in the case 0
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.04.015