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JackT's user avatar
JackT's user avatar
JackT
  • Member for 7 years
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13 votes
Accepted

Non-linear elliptic PDE uniqueness of solution

8 votes
Accepted

How does one convert the mean curvature equation into a homogeneous linear elliptic P.D.E?

6 votes
Accepted

Mean Value Relation and Harmonic Functions

5 votes

Prove that the problem $-\Delta u = 0$ with $u = g$ on the boundary has no solution for a given $g$.

5 votes
Accepted

Find the inverse laplace transforms of $\frac{\ln(s)}{s^2}$

5 votes

Integral in n-dimensional spherical coordinates

5 votes

$W_0^{1,p}(\Omega)\neq W^{1,p}(\Omega)$

5 votes
Accepted

Strong vs Weak solution to one-dimensional elliptic PDE

5 votes
Accepted

$-\Delta u=\lambda u$ in $\Omega$, $u=0$ in some ball, then $u\equiv 0$

5 votes
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a directional derivative estimate

4 votes

Uniqueness for linear elliptic PDE given existence

4 votes
Accepted

Theorem 4 (Strong maximum principle) Evans.

4 votes

Doubt about a passage on page 24 of the Evans Partial Differential Equations book

4 votes

On solving the fractional Laplacian

4 votes

Can we enforce two boundary conditions for a second order PDE?

4 votes
Accepted

Convolution of Two i.i.d. Exponential Distributions

4 votes
Accepted

An equality in Evans' PDE book chapter 9

4 votes
Accepted

elliptic PDE with discontinuous coefficients

4 votes
Accepted

Solution of elliptic problem is a minimizer of certain functional

4 votes
Accepted

Prove that $T^n$ is a zero map.

3 votes
Accepted

Compute the limit of $\displaystyle\lim_{n \to \infty} \int_0^1 \frac{e^{-nt}}{\sqrt{t}} \, dt$

3 votes
Accepted

Integral of the Poisson's kernel: $\int_{\partial \mathbb{R}^n_+} K(x,y)dy = 1$.

3 votes
Accepted

How to prove that there exists a p such that $df_p$ exists

3 votes
Accepted

Prove $\int_\Omega G(x,y)f(y) dy \to 0$ as $x\to \partial \Omega$

3 votes

Functions whose Fractional derivative equal $0$

3 votes
Accepted

Laplace's eigenvalue problem

3 votes
Accepted

Question about Sobolev space estimate

3 votes

Volume of a cone in an $n$-dimensional ball

3 votes
Accepted

How to prove $\frac{1}{|x|^d}$ is not integrable in $\{{x\in \mathbb R^d:|x|>1}\}$

3 votes
Accepted

Weak Laplacian is a closed map

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