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Problems involving \(p\)-Laplacian type equations and measures. (English) Zbl 1074.35536
Summary: 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.
MSC:
35J60 Nonlinear elliptic equations
35J70 Degenerate elliptic equations
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