English

Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data

Analysis of PDEs 2008-12-18 v1

Abstract

We give a partial uniqueness result concerning comparable renormalized solutions of the nonlinear elliptic problem \diw(\aop(x,Du))=μ-\diw(\aop(x,Du))=\mu in Ω\Omega, u=0u=0 on Ω\partial\Omega, where μ\mu is a Radon measure with bounded variation on Ω\Omega.

Keywords

Cite

@article{arxiv.0803.1783,
  title  = {Remarks on the uniqueness of comparable renormalized solutions of elliptic equations with measure data},
  author = {Olivier Guibé},
  journal= {arXiv preprint arXiv:0803.1783},
  year   = {2008}
}