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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...
05 May 2017 3,758 3 View
The earth has formed so many years. The inner temperature are much higher than the surface and it it keep balanced. It seems dificult to explain this by the Heat equation. Does some one know why...
08 August 2016 1,807 0 View
There are many papers on the parabolic or elliptic differential equation with Hardy potential, or inverse square potential. Is it from some physics model? Or coudl this type equation descripe...
08 August 2016 8,559 2 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...
12 December 2015 3,002 6 View
To prove the radial symmetry, the method of moving plane is a very useful tool. But how to do the moving planes for equations like -\Delta u =|\nable u|^p in B_1, u=0 on \partial B_1(0).
06 June 2015 5,418 1 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.
11 November 2014 1,588 5 View
We know that the solution of -\Delta u=f in B_1 is x_N-odd when f is x_N odd.
08 August 2014 2,825 3 View
Boundary blow-up solution is usually found by Perron's method in the classical sense.
03 March 2014 1,194 2 View
