On the uniqueness problem for quasilinear elliptic equations involving measures

Tero Kilpeläinen, Xiangsheng Xu · Revista Matemática Iberoamericana · 1996

We discuss the uniqueness of solutions to problems like \lambda |u|^{s–1}u– \mathrm {div} (|\bigtriangledown u|^{p–2}= \mu \space {\mathrm {on} \space \Omega,} u=0 \space \mathrm {in} \space {\partial \Omega,} where \lambda ≥ 0 and \mu is a signed Radon measure.

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