In this paper, we present a survey concerning unconstrained free boundary problems of type [Formula: see text] where B1 is the unit ball, Ω is an unknown open set, F(1) and F(2) are elliptic operators (admitting regular solutions), and [Formula: see text] is a functions space to be specified in each case. Our main objective is to discuss a unifying approach to the optimal regularity of solutions to the above matching problems, and list several open problems in this direction.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4535268 | PMC |
| http://dx.doi.org/10.1098/rsta.2014.0281 | DOI Listing |
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