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Nonlinear Potential Theory and PDEs

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Abstract

We consider equations like — div(∣∇up-2u) = µ, where µ is a nonnegative Radon measure and 1 < p < ∞. Results that relate the solution u and the measure µ are reviewed. A link between potential estimates and the boundary regularity of the Dirichlet problem is established.

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© 1994 Springer Science+Business Media Dordrecht

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Kilpeläinen, T. (1994). Nonlinear Potential Theory and PDEs. In: Bertin, E. (eds) ICPT ’91. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1118-8_6

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  • DOI: https://doi.org/10.1007/978-94-011-1118-8_6

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4488-2

  • Online ISBN: 978-94-011-1118-8

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