On the uniqueness problem for quasilinear elliptic equations involving measures

Tero Kilpeläinen; Xiangsheng Xu

doi:10.4171/rmi/204

JournalsrmiVol. 12, No. 2pp. 461–475

On the uniqueness problem for quasilinear elliptic equations involving measures

Tero Kilpeläinen
University of Jyväskylä, Finland
Xiangsheng Xu
Mississippi State University, USA

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Abstract

We discuss the uniqueness of solutions to problems like

λ ∣ u ∣^{s -1} u - div (∣ ▽ u ∣^{p -2} = μ on Ω,

u = 0 in \partial Ω,

where $λ \geq 0$ and $μ$ is a signed Radon measure.

Cite this article

Tero Kilpeläinen, Xiangsheng Xu, On the uniqueness problem for quasilinear elliptic equations involving measures. Rev. Mat. Iberoam. 12 (1996), no. 2, pp. 461–475

DOI 10.4171/RMI/204