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Problems involving p -Laplacian type equations and measures

Tero Kilpeläinen (2002)

Mathematica Bohemica

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 ( | u | p - 2 u ) = μ with zero boundary values; here μ is a Radon measure. The joining link between the problems is the use of equations involving measures.

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