List questions from elliptic-equations

Published on 24 Mar 2026 - 11:56

148

Views

Show that solution has range $[-1,1]$

Published on 25 Jan 2019 - 16:09

53

Views

Does the linearized equation of uniformly elliptic equation maintain uniformly elliptic?

Published on 01 Feb 2019 - 11:53

153

Views

On the solvability of the Dirichlet Problem $\Delta u =f$ for $f$ locally Holder continuous and $L^p$ for $p>n/2$

Published on 05 Feb 2019 - 2:06

152

Views

Laplacian with Integral BC(s)

Published on 12 Feb 2019 - 14:49

51

Views

$-\Delta u=f$ in $L^1$ but $u_{x_ix_j}$ not in $L^1$ ($i\neq j$)

Published on 15 Feb 2019 - 0:02

88

Views

How to show minimal surface equation is a non-uniform elliptic equation

Published on 18 Feb 2019 - 13:21

44

Views

Eigenvalue of nonlinear elliptic equation.

Published on 22 Feb 2019 - 8:20

335

Views

Uniqueness of solution for Dirichlet and Neumann problem

Published on 10 Mar 2019 - 8:47

76

Views

Global elliptic regularity theory on $\mathbb{R}^n$ or interior estimates for elliptic pde when $p \neq 2$

Published on 12 Mar 2019 - 7:43

120

Views

Minimal surface with a "flat curve"

Published on 25 Mar 2026 - 5:05

41

Views

Are Kolmogorov partial differential equations degenerate elliptic?

Published on 03 Apr 2019 - 13:49

106

Views

$L^\infty$ boundedness for solution of elliptic PDE with Neumann BC

Published on 04 Apr 2019 - 10:09

487

Views

A (nontrivial) nonlinear Poisson equation

Published on 13 Apr 2019 - 3:04

198

Views

Convergence of Sequence of Solutions to Elliptic Equation

Published on 17 Apr 2019 - 17:41

List Question

Boundary problem with elliptic 2nd order pde

Show that solution has range $[-1,1]$

Does the linearized equation of uniformly elliptic equation maintain uniformly elliptic?

On the solvability of the Dirichlet Problem $\Delta u =f$ for $f$ locally Holder continuous and $L^p$ for $p>n/2$

Laplacian with Integral BC(s)

$-\Delta u=f$ in $L^1$ but $u_{x_ix_j}$ not in $L^1$ ($i\neq j$)

How to show minimal surface equation is a non-uniform elliptic equation

Eigenvalue of nonlinear elliptic equation.

Uniqueness of solution for Dirichlet and Neumann problem

Global elliptic regularity theory on $\mathbb{R}^n$ or interior estimates for elliptic pde when $p \neq 2$

Minimal surface with a "flat curve"

Are Kolmogorov partial differential equations degenerate elliptic?

$L^\infty$ boundedness for solution of elliptic PDE with Neumann BC

A (nontrivial) nonlinear Poisson equation

Convergence of Sequence of Solutions to Elliptic Equation

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