Blowup analysis for integral equations on bounded domains

Qianqiao Guo

Consider the integral equation \begin{equation*} f^{q-1}(x)=\int_Ω\frac{f(y)}{|x-y|^{n-α}}dy,\ \ f(x)>0,\quad x\in \overline Ω, \end{equation*} where $\Omega \subset {\mathbb{R}}^n$ is a s…