Perron's solutions for two-phase free boundary problems with distributed sources
classification
🧮 math.AP
keywords
boundaryfreeperrontwo-phasecaffarellicaseconstructdistributed
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We use Perron method to construct a weak solution to a two-phase free boundary problem with right-hand-side. We thus extend the results of the pioneer work of Caffarelli for the homogeneous case.
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