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Uniqueness of Nonnegative Solutions to Elliptic Differential Inequalities on Finsler Manifolds

  • Changwei XiongEmail author
Article
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Abstract

We consider a class of elliptic differential inequalities involving Finsler p-Laplacian and a positive potential function on forward geodesically complete noncompact Finsler measure spaces with finite reversibility. Under various volume growth conditions concerning geodesic balls with a given center and the potential function, we prove that the only nonnegative weak solution of the differential inequalities is identically zero.

Keywords

Uniqueness of nonnegative solutions Elliptic differential inequality Finsler measure space 

Mathematics Subject Classification (2010)

35R45 35J92 58J05 

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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Mathematical Sciences InstituteAustralian National UniversityCanberraAustralia

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