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p-Laplacian type equations involving measures

Tero Kilpeläinen
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Abstract

This is a survey on problems involving equations $-\operatorname{div}{\Cal A}(x,\nabla u)=μ$, where $μ$ is a Radon measure and ${\Cal A}:\bold {R}^n\times\bold R^n\to \bold R^n$ verifies Leray-Lions type conditions. We shall discuss a potential theoretic approach when the measure is nonnegative. Existence and uniqueness, and different concepts of solutions are discussed for general signed measures.

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Tero Kilpeläinen. 2003-04-24. p-Laplacian type equations involving measures. https://arxiv.org/abs/math/0304392

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