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Maximum estimates for oblique derivative problems with right hand side in L p, p<n

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Abstract.

If u is a solution of the second order elliptic differential equation Lu=f in some Lipschitz domain in ℝn, we estimate the maximum of u in terms of some oblique derivative prescribed on the boundary of the domain and in terms of the L p norm of f with p<n.

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  1. Department of Mathematics, Iowa State University, Ames, Iowa 50011, USA

    Gary M. Lieberman

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  1. Gary M. Lieberman
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Correspondence to Gary M. Lieberman.

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Lieberman, G. Maximum estimates for oblique derivative problems with right hand side in L p, p<n . manuscripta math. 112, 459–472 (2003). https://doi.org/10.1007/s00229-003-0412-2

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  • DOI: https://doi.org/10.1007/s00229-003-0412-2

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