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A strong comparison principle for the $p$-Laplacian

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 14 May 2007 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 135, pages 3,217-3,224 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: ROSELLI, PAOLO; Sciunzi, B.;

doi: 10.1090/s0002-9939-07-08847-8

handle: 20.500.11770/132676 , 2108/34717

A strong comparison principle for the $p$-Laplacian

Abstract

We consider weak solutions of the differential inequality of p-Laplacian type - Δpu - f(u) ≤-Δpv - f(v) such that u p - 1.

Related Organizations
Keywords

p-laplace operator, geometric and qualitative properties of the solution, p-laplace operator; geometric and qualitative properties of the solutions; comparison principle, Applied Mathematics, General Mathematics, comparison principle, Settore MAT/05 - ANALISI MATEMATICA

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 22
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Average
Top 10%
Average
Green
hybrid