bio | website | |
---|---|---|
location | ||
age | 29 | |
visits | member for | 2 years, 3 months |
seen | Feb 5 '13 at 19:45 | |
stats | profile views | 82 |
Feb 1 |
awarded | Scholar |
Feb 1 |
comment |
A 'conjecture' on critical elliptic pde
Craig, thanks for telling me this technique. I also realized that the answer should be straight forward from the known result. Assume $u$ is a solution to the problem (with certain regularity, for example, $C^1$), then extend $u$ by zero to the whole space, then we must have $u=0$ by the characterization of solutions to the cauchy problem $\Delta u+u^5=0$ in $\mathbb{R}^3$. |
Feb 1 |
accepted | A 'conjecture' on critical elliptic pde |
Jan 5 |
comment |
A 'conjecture' on critical elliptic pde
Yes, I want zero boundary condition. |
Jan 5 |
asked | A 'conjecture' on critical elliptic pde |
Jan 4 |
asked | A critical elliptic PDE |
Dec 29 |
awarded | Student |
Dec 29 |
asked | Best constant of Gagliardo-Nirenberg inequality in exterier domain |