Prove that the nonhomogeneous Neumann problem has a solution only if $\int_Ωf = 0$.
59370
Weak solutions to the Neumann's problem (Evans PDE)
151796
There is not an holomorphic function on a bounded domain such that $\lim_{z \to w} f(z)= \infty$ for every $w \in Fr(\Omega)$
110854
Heat conduction problem with boundary at $\infty$
5229
Prove that $\lim_{n \to \infty} \int_0^1{nx^nf(x)}dx$ is equal to $f(1)$.
87390
Laplace equation of composite function
104518
Lower bound for the Hardy-Littlewood maximal function implies it is not integrable
72660
How can I show that $f$ must be zero if $\int fg$ is always zero?
49155
$f: \Omega \rightarrow \Omega$ holomorphic, $f(0) = 0$, $f'(0) = 1$ implies $f(z) = z$
21881
Prove that $\forall\alpha\geq\omega$, $|L_\alpha|=|\alpha|$ without AC
131444
Local maximum implies derivative is $0$
69945
A PDE exercise from Gilbarg Trudinger. problem 2.2
123806
How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?
4656
Prove that there is a $\delta$ such that $\int_{0}^{1} (f(x))^2dx\leq \delta$$\int_{0}^{1} (f'(x))^2dx$ for all $f$ with these conditions
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
893
Simple PDE with Neumann BC
93621
Prove that $\mathbb{Z}[\omega]$ is an integral domain
100608
Prove that $\|v\|_{H^1(\Omega )}\leq C(\|f\|_{L^2(\Omega )}+\|v\|_{H^{1/2}(\partial \Omega )}+\|\partial _\nu v\|_{H^{1/2}(\partial \Omega )}))$