User Connor Mooney

21 votes

What is the intuition behind Almgren's frequency function?

answered Mar 31, 2018 at 7:48

20 votes

Accepted

What goes wrong for the Sobolev embeddings at $k=n/p$?

answered Mar 12, 2013 at 16:59

16 votes

Accepted

Alexandrov-Bakelmann-Pucci maximum principle

answered Sep 4, 2012 at 2:06

16 votes

Elementary calculus estimate or not?

answered Dec 3, 2019 at 0:30

11 votes

Accepted

Is an $H_0^1$ function continuous to the boundary if it is continuous in the interior?

answered Feb 3, 2021 at 3:10

10 votes

Accepted

Intuition behind choosing a specific test function

answered Aug 26, 2020 at 17:45

10 votes

$L^\infty-L^2$ smoothing for heat equation on manifold using Nash-Moser-De-Giorgi technique

answered Mar 18, 2016 at 23:36

8 votes

Roadmap to learning about Ricci Flow?

answered Aug 10, 2011 at 3:22

8 votes

Points where harmonic functions fail to give a coordinates system

answered Oct 31, 2021 at 18:15

7 votes

Accepted

A Liouville theorem involving an advection term

answered Nov 13, 2014 at 1:23

6 votes

$C^0$ estimate for solutions of elliptic PDE with Neumann BC

answered Sep 23, 2014 at 23:46

6 votes

Accepted

A question about the $C^{2,\alpha}$ regularity of concave fully nonlinear uniformly elliptic equation

answered Jul 25, 2013 at 7:24

6 votes

Accepted

Sobolev Inequality

answered Oct 11, 2013 at 22:19

6 votes

Accepted

What happens to the De Giorgi-Nash-Moser estimate when the potential term lies in the critical $L^{\frac n2}$ space?

answered Feb 8, 2017 at 9:08

6 votes

Compact Eucledean hypersurfaces with "almost" constant H_k curvature

answered Dec 15, 2015 at 14:02

6 votes

Regularity of the quasi-linear PDE $-\Delta u + c(u) = f$

answered Dec 18, 2020 at 22:30

6 votes

Differential inequalities under which a flat function must be identically zero

answered May 9, 2021 at 1:27

6 votes

Accepted

A boundary Schauder estimate

answered Apr 10, 2020 at 15:37

6 votes

Are all positive eigenfunctions principal eigenfunctions?

answered Aug 13, 2023 at 23:59

5 votes

Accepted

Estimates of $\Delta|\nabla u|$ for harmonic function $u$

answered Jan 16 at 21:07

5 votes

Higher regularity of solutions of non-linear elliptic PDE

answered Nov 24, 2021 at 20:59

5 votes

Accepted

Bernstein's corollary for the case of half space

answered May 14, 2022 at 14:29

5 votes

Vanishing rate of a harmonic function near a boundary point

answered Aug 5, 2021 at 14:28

5 votes

Accepted

Maximum principle for heat equation, low regularity case

answered Oct 16, 2017 at 21:36

5 votes

improvement of flatness in the regularity of minimal surfaces

answered Sep 25, 2018 at 15:47

5 votes

Properties of heat equation

answered Mar 17, 2019 at 16:47

5 votes

What are your favorite instructional counterexamples?

answered Jul 30, 2011 at 16:38

5 votes

Accepted

comparing Laplacian and gradient of function on boundary

answered Oct 18, 2015 at 1:57

5 votes

Does the following type of Gronwall inequality hold?

answered May 2, 2015 at 17:24

4 votes

Accepted

stability of the Monge-Ampère equation

answered Oct 27, 2015 at 23:30

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82 Answers

What is the intuition behind Almgren's frequency function?

What goes wrong for the Sobolev embeddings at $k=n/p$?

Alexandrov-Bakelmann-Pucci maximum principle

Elementary calculus estimate or not?

Is an $H_0^1$ function continuous to the boundary if it is continuous in the interior?

Intuition behind choosing a specific test function

$L^\infty-L^2$ smoothing for heat equation on manifold using Nash-Moser-De-Giorgi technique

Roadmap to learning about Ricci Flow?

Points where harmonic functions fail to give a coordinates system

A Liouville theorem involving an advection term

$C^0$ estimate for solutions of elliptic PDE with Neumann BC

A question about the $C^{2,\alpha}$ regularity of concave fully nonlinear uniformly elliptic equation

Sobolev Inequality

What happens to the De Giorgi-Nash-Moser estimate when the potential term lies in the critical $L^{\frac n2}$ space?

Compact Eucledean hypersurfaces with "almost" constant H_k curvature

Regularity of the quasi-linear PDE $-\Delta u + c(u) = f$

Differential inequalities under which a flat function must be identically zero

A boundary Schauder estimate

Are all positive eigenfunctions principal eigenfunctions?

Estimates of $\Delta|\nabla u|$ for harmonic function $u$

Higher regularity of solutions of non-linear elliptic PDE

Bernstein's corollary for the case of half space

Vanishing rate of a harmonic function near a boundary point

Maximum principle for heat equation, low regularity case

improvement of flatness in the regularity of minimal surfaces

Properties of heat equation

What are your favorite instructional counterexamples?

comparing Laplacian and gradient of function on boundary

Does the following type of Gronwall inequality hold?

stability of the Monge-Ampère equation