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Sharp inequalities for solutions to elliptic problems with mixed boundary conditions

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No logo availableCentre International de Rencontres Mathématiques (CIRM)
 Trombetti, Cristina

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Sharp inequalities for solutions to elliptic problems with mixed boundary conditions
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4
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We show, using symmetrization techniques, that it is possible to prove a comparison principle (we are mainly focused on L1 comparison) between solutions to an elliptic partial differential equation on a smooth bounded set Ω with a rather general boundary condition, and solutions to a suitable related problem defined on a ball having the same volume as Ω. This includes for instance mixed problems.
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