Geodesic
Problems involving $p$-Laplacian type equations and measures
Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 243-250

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MR Zbl
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.
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.
DOI : 10.21136/MB.2002.134164
Classification : 35B60, 35J60, 35J70, 35R05
Keywords: $p$-Laplacian; removable sets 
Kilpeläinen, Tero. Problems involving $p$-Laplacian type equations and measures. Mathematica Bohemica, Tome 127 (2002) no. 2, pp. 243-250. doi: 10.21136/MB.2002.134164
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