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 May 13 accepted Min-Max Principle and Harnack's inequality May 10 comment Min-Max Principle and Harnack's inequality @GiuseppeNegro just trying to see if somebody might have an idea. I am not "requiring" people to know or answer. That's the purpose of this website, right? People raise questions and people discuss. May 10 comment Min-Max Principle and Harnack's inequality @GiuseppeNegro It was merely a sentence saying that. I can't find it again... sorry. But as for my doubt, there is at least no easy way to prove maximum principle with harnack, right? May 10 asked Min-Max Principle and Harnack's inequality May 3 asked Upper semi-continuity of log-concave functions Apr 17 asked reducibility of an operator Apr 6 revised proof on Poincare's inequality. added 2 characters in body Apr 6 comment proof on Poincare's inequality. which notation do you need me to explain? Apr 6 asked proof on Poincare's inequality. Apr 5 accepted Minimizing sequence that has certain property Apr 3 asked Minimizing sequence that has certain property Mar 30 accepted Limiting argument when proving inequality in Sobolev space Mar 29 comment Limiting argument when proving inequality in Sobolev space this makes a hell lot more sense!! Thanks! Mar 29 comment Limiting argument when proving inequality in Sobolev space So I should interpret this inequality as: For any $f$ in $W^{1,1}$, there is a $\tilde{f}$, s.t. $\tilde{f}=f$ in the distributional sense with $\tilde{f}\in L^{\infty}$ and that inequality holds. Am I right? Mar 29 comment Limiting argument when proving inequality in Sobolev space first thank you for pointing out the Cauchy sequence part. I was stupid to not have seen this. But why does $f_n$ necessarily converge to this same $f$ in $L^{\infty}$? Mar 29 asked Limiting argument when proving inequality in Sobolev space Mar 26 awarded Popular Question Mar 21 accepted What does it mean for a distribution to be in $L_2$? Mar 21 comment What does it mean for a distribution to be in $L_2$? I am trying to get a little intuition here. So based on what you said, a lot of distributions are not in $L_2$ since for a general distribution, you are not even lucky enough to get that kind of representation. Am I right? Mar 21 asked What does it mean for a distribution to be in $L_2$?