Existence of solutions of Two-Phase free boundary problems for fully nonlinear elliptic equations of second order |
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Authors: | Pei-Yong Wang |
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Institution: | (1) Department of Mathematics, University of California, 93106 Santa Barbara, CA |
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Abstract: | In this article, we have established existence of a solution to the 2 -phase free boundary problem for some fully nonlinear
elliptic equations and also shown the free boundary has finite Hn−1 Hausdorff measure and a normal in a measuretheoretic sense Hn−1 almost everywhere. The regularity theory developed in 9] and 10] for this free boundary problem then leads to the fact
that the free boundary is locally a C1,α surface near Hn−1-a.e. point. |
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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 35R35 35J60 28A78 49Q15 |
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