Tomás
Reputation
12,708
Top tag
Next privilege 15,000 Rep.
Protect questions
Badges
3 11 46
Newest
Impact
~131k people reached

• 45 helpful flags
• 4,087 votes cast

# 3,202 Actions

 1d answered Variant of Ladyzhenskaya’s inequality 1d comment Variant of Ladyzhenskaya’s inequality Note that $(x+y)^2\le 2x^2+2y^2$. 2d comment Prove difference quotient converges to weak derivative in $L^p$ In this case, you can adapt the proof given by @Jose27, which is now deleted. Apr14 comment Question about representation of the eigenvalues of second order elliptic operator Have you tried to prove it? Apr11 comment The Courant Min-Max theorem of elliptic pdes. Because $\lambda_i\le \lambda _k$ for each $i\in \{1,\cdots, n\}$. Apr11 revised A trace inequality with epsilon in Sobolev spaces edited tags Apr10 comment Approximating $u \in H^1$ s.t. $u(T)=0$ with $u_n \in H^1_0$ in the gradient norm? The space $H_0^1(0,T)$ is complete with the norm $\|u\|=\|\nabla u\|_2$, therefore, if $u\in H_0^1(0,T)$ is such that $\nabla u_n\to \nabla u$ in $L^2$, we must conclude that $u\in H_0^1(0,T)$. Apr8 comment Prove that $\dfrac{g(x,u_{n})}{\left\Vert u_{n}\right\Vert ^{p-1}}\rightarrow g_{0}$ weakly in $L^{\overline{p}}$ for some $\overline{p}>p*'$ Where do you got this problem? Apr8 comment Complicated convergence of nonlinear term No @Kamil. I fail to see why does that functions belong to $L^1$. Do you know why? Apr7 comment Proof that $C^{\infty}_0$ is dense in $W^{1,p}(\mathbb{R}^n)$ This is the content of Theorem 9.2. in the Brezis book of Functional Analysis, Apr7 comment How to prove Poincaré-like inequality for the integral over the boundary? Why do you think this is true? Apr7 comment Complicated convergence of nonlinear term Why does $|\nabla u_k|^{p-2}\nabla u_k^i u_k^j \cdot \nabla v\in L^1$? Apr7 comment How to prove Poincare-like inequality? Edit it and ask on meta to reopen, or just edit it and I will vote to reopen. Apr7 comment How to prove Poincare-like inequality? There is no need to ask the same question. Just follow the instructions given for the closure of the last one and then hit the button reopen. Take a look in @Pedro's comment. Apr6 comment Trace operator on $W^{1,\infty}$ The space $W^{1,\infty}(\Omega)$ is the space of Lipschitz functions defined in $\overline{\Omega}$. Apr1 reviewed Leave Open Proving that for when AB = 2BA, then B is not invertible if A is invertible. Apr1 reviewed Close Help showing $\sum_{n=2}^{\infty}(\log n)^{-\log n}$ converges. Apr1 reviewed Close Does uniform convergence imply $L^1$-convergence? Apr1 reviewed Close Find all complex numbers such that $z^4 = 8\bar{z}$ Apr1 reviewed Close Set of measure $0$ in $[0,1]$ is nowhere dense