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Questions related from Chen Huyuan
For connected C^2 domain \Omega such that |\Omega|=|B_1(0)|, let u be the soluiton of -\Delta u=1 in \Omega, u=0 on \partial \Omega, when the value \int_\Omega u dx takes the minimum? is it the...
06 May 2017 8,939 3 View
I want to know how to build the fast decaying solution for (-\Delta)^\alpha u=u^p in R^N\setminus {0} where p>\frac{N}{N-2\alpha}. Here fast decay means the solution hjas decaying rate...
23 December 2015 7,505 5 View
The regional fractional laplacian is defined by (-\Delta)_D^a u(x)=-C P:V. \int_D\frac{u(y)-u(z)}{|y-z|^{N+2a}}dy, where D is a C^2 domain.
30 November 2014 9,287 4 View
Boundary blow-up solution is usually found by Perron's method in the classical sense.
18 March 2014 1,771 2 View