All Questions

Consider a bounded smooth set $\Omega \subset \mathbb R^n$ (for example, we can take a ball). Can we write down the solution of \begin{align*} -\Delta u(x) + \lambda u(x) &= f(x), & x \in \...

I am studying an article Link of Article. There author assumes that $\Omega \subset \mathbb{R}^N$, $ N>4 $ . Some where in the paper we have $$ \Delta^2 (\cdot) - \frac{\lambda}{|x|^4} (\cdot) : W^...