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- W2897427309 abstract "We consider a one-phase free boundary problem of the minimizer of the energy [ J_{gamma}(u)=frac{1}{2}int_{(B_1^{n+1})^+}{y^{1-2s}|nabla u(x,y)|^2dxdy}+int_{B_1^{n}times {y=0}}{u^{gamma}dx}, ] with constants $0<s,gamma<1$. It is an intermediate case of the fractional cavitation problem (as $gamma=0$) and the fractional obstacle problem (as $gamma=1$). We prove that the blow-up near every free boundary point is homogeneous of degree $beta=frac{2s}{2-gamma}$, and flat free boundary is $C^{1,theta}$ when $gamma$ is close to 0." @default.
- W2897427309 created "2018-10-26" @default.
- W2897427309 creator A5013650967 @default.
- W2897427309 date "2018-10-10" @default.
- W2897427309 modified "2023-09-27" @default.
- W2897427309 title "A non-local one-phase free boundary problem from obstacle to cavitation" @default.
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