# Tomás

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 1d accepted Why convolution regularize functions? Apr18 comment Extension of function from $W^{1,p}(\Omega - \{x\})$ to $W^{1,p}(\Omega)$ You can solve this problem by using the following characterization: en.wikipedia.org/wiki/… Apr18 comment what are the equilibrium points of the following: @1950RobertLewis, I am not so sure about it. Take a look in the message below and you will see that there is plenty of reasons for this question to be closed. Apr16 comment First eigenvalue of Laplacian and Poincaré inequality Thanks for your comment @Frank. With respect to the gaps, they are intentional: I will not give you an full answer, because I want you to think about it. With respect to the typos, they are unintentional, so feel free to correct them. However, if there is some point where you are completely lost, you can leave a comment here and I will try to help you. Apr15 comment Vector spaces isomorphic, then dual spaces isomorphic Maybe the word "fast" needs a definition? Apr15 comment Regularity of Dirichlet Eigenvalues on Lipschitz Domain Yes, it is really useful. What is your definition for classical solutions? In some problems it is only necessary continuity on the boundary and $C^2$ in the interior. Apr15 comment Regularity of Dirichlet Eigenvalues on Lipschitz Domain Take a look in Brezis book chapter 9: amazon.com/… Apr14 answered First eigenvalue of Laplacian and Poincaré inequality Apr14 comment bilinear continuous, coercive form You are welcome @user93736 Apr12 revised bilinear continuous, coercive form edited tags Apr12 answered bilinear continuous, coercive form Apr9 answered Show $W^{1,p}(a,b)$ is compactly embedded in $L^p(a,b)$ for any \$1