uu.seUppsala University Publications

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Wolff-Potential Estimates and Doubling of Subelliptic p-harmonic measuresPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2013 (English)In: Nonlinear Analysis, ISSN 0362-546X, E-ISSN 1873-5215, Vol. 85, p. 149-159Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2013. Vol. 85, p. 149-159
##### National Category

Mathematical Analysis
##### Identifiers

URN: urn:nbn:se:uu:diva-186268DOI: 10.1016/j.na.2013.02.023ISI: 000318378700013OAI: oai:DiVA.org:uu-186268DiVA, id: diva2:572813
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Available from: 2013-03-26 Created: 2012-11-28 Last updated: 2017-12-07Bibliographically approved
##### In thesis

Let be a system of *C*^{∞} vector fields in *R*^{n} satisfying Hörmander’s finite rank condition and let *Ω* be a non-tangentially accessible domain with respect to the Carnot–Carathéodory distance *d* induced by *X*. We prove the doubling property of certain boundary measures associated to non-negative solutions, which vanish on a portion of *∂**Ω*, to the equation

Given *p*, 1<*p*<*∞*, fixed, we impose conditions on the function *A*=(*A*_{1},…,*A*_{m}):*R*^{n}×*R*^{m}→*R*^{m}, which imply that the equation is a quasi-linear partial differential equation of *p*-Laplace type structured on vector fields satisfying the classical Hörmander condition. In the case *p*=2 and for linear equations, our result coincides with the doubling property of associated elliptic measures. To prove our result we establish, and this is of independent interest, a Wolff potential estimate for subelliptic equations of *p*-Laplace type.

1. Boundary Behavior of *p*-Laplace Type Equations$(function(){PrimeFaces.cw("OverlayPanel","overlay615186",{id:"formSmash:j_idt892:0:j_idt899",widgetVar:"overlay615186",target:"formSmash:j_idt892:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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