List questions from elliptic-equations

Published on 17 Jan 2024 - 12:21

39

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Green's representation for the Helmholtz equation in arbitrary dimension

Published on 19 Jan 2024 - 14:59

27

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Remark on theorem $4.11$ in Gilbarg, Trudinger.

Published on 21 Jan 2024 - 14:48

25

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Sobolev inequality and C^{1,1} estimate

Published on 25 Mar 2026 - 20:17

70

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Construct a sequence of real analytic functions solving the equation with a condition

Published on 25 Feb 2026 - 7:54

35

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Mixed Laplace equation and missing one step in the integration by parts

Published on 03 Feb 2024 - 22:34

141

Views

$W^{1,p}(\Omega)$ estimates of solutions of elliptic equation

Published on 08 Feb 2024 - 11:02

175

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Gradient estimates of linear elliptic PDE

Published on 19 Feb 2024 - 15:52

18

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Bound by limit plane of harmonic function on half space vanishing at infinity

Published on 23 Feb 2024 - 5:07

71

Views

Type of solution (as the critical point of the energy functional) after doing scaling to the PDE.

Published on 24 Feb 2024 - 15:03

63

Views

How we get the jacobi elliptic functions

Published on 26 Mar 2026 - 17:30

42

Views

Maximum principle to get $C^0$ estimates in terms of $L^1$ norms

Published on 26 Mar 2026 - 17:54

45

Views

FEM for non linear PDEs

Published on 02 Mar 2024 - 18:41

46

Views

Global $L^{2}$ solution of Laplace equation in $\mathbb{R}^{3}$.

Published on 11 Mar 2024 - 14:39

36

Views

linear elliptic problem inverse mapping is Lipschitz in log permeability

Published on 25 Mar 2026 - 22:09

List Question

Reference request heat equation with moving interface

Green's representation for the Helmholtz equation in arbitrary dimension

Remark on theorem $4.11$ in Gilbarg, Trudinger.

Sobolev inequality and C^{1,1} estimate

Construct a sequence of real analytic functions solving the equation with a condition

Mixed Laplace equation and missing one step in the integration by parts

$W^{1,p}(\Omega)$ estimates of solutions of elliptic equation

Gradient estimates of linear elliptic PDE

Bound by limit plane of harmonic function on half space vanishing at infinity

Type of solution (as the critical point of the energy functional) after doing scaling to the PDE.

How we get the jacobi elliptic functions

Maximum principle to get $C^0$ estimates in terms of $L^1$ norms

FEM for non linear PDEs

Global $L^{2}$ solution of Laplace equation in $\mathbb{R}^{3}$.

linear elliptic problem inverse mapping is Lipschitz in log permeability

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