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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
##### Keywords:
$$p$$-Laplacian; removable sets
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