Article ID Journal Published Year Pages File Type
6417225 Journal of Differential Equations 2015 48 Pages PDF
Abstract

In this paper, we are interested in solving the following partial differential equation−Δθu+Ru=fu1+2/n on a compact strictly pseudo-convex CR manifold (M,θ) of dimension 2n+1 with n⩾1. This problem naturally arises when solving the prescribing Webster scalar curvature problem on M with the prescribed function f. Using variational techniques, we prove several non-existence, existence, and multiplicity results when the function f is sign-changing.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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