Quasilinear equations with source terms on Carnot groups

Details Quasilinear equations with source terms on Carnot groups Quasilinear equations with source terms on Carnot groups

2012-01-17

arxiv.org/abs/1201.3586v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

In this paper we give necessary and sufficient conditions for the existence of solutions to quasilinear equations of Lane--Emden type with measure data on a Carnot group $\mathbb G$ of arbitrary step. The quasilinear part involves operators of the $p$-Laplacian type $\Delta_{\mathbb G,\,p}\,$, $1

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