On the sub poly-harmonic property for solutions of (-Δ)^p u <0 in R^n
https://doi.org/10.1016/j.crma.2017.04.003Publisher, magazine: ,
Publication year: 2017
Lưu Trích dẫn Chia sẻAbstract
In this note, we mainly study the relation between the sign of and in with and for . Given the differential inequality , first we provide several sufficient conditions so that holds. Then we provide conditions such that for all , which is known as the sub poly-harmonic property for u. In the last part of the note, we revisit the super poly-harmonic property for solutions to and with in .
Tags: sub polyharmonic functions; super poly-harmonic functions; semilinear elliptic equations; positive solutions
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On the sub poly-harmonic property for solutions of (-Δ)^p u <0 in R^n