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MATHEMATICA BOHEMICA, Vol. 127, No. 2, pp. 243-250 (2002)
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# Problems involving $p$-Laplacian type

equations and measures

## Tero Kilpeläinen

* Tero Kilpeläinen*, University of Jyväskylä, Department of Mathematics, P. O. Box 35, 40351 Jyväskylä, Finland, e-mail: ` terok@math.jyu.fi`

**Abstract:**
In this paper I discuss two questions on $p$-Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to $-\div (|\nabla u|^{p-2}\nabla u)=\mu $ with zero boundary values; here $\mu $ is a Radon measure. The joining link between the problems is the use of equations involving measures.

**Keywords:** $p$-Laplacian, removable sets

**Classification (MSC2000):** 35J60, 35J70

**Full text of the article:**

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