MathOverflow

I am looking for references on conformal metrics with multiple boundary singularities.
Let $M$ be a compact manifold with corners, let $g_0$ be a smooth Riemannian metric, and let $\rho_1,\ldots,\rho_k$ be boundary defining functions for the boundary hypersurfaces. Consider the conformal metric...

Let $G(V,E)$ be a complete symmetric graph with positive edge weights and let further $\mathcal{C}=\lbrace C_1,\,\cdots\,C_k\rbrace$ be the minimum-weight vertex-disjoint cycle cover.
The set $E$ of edges is then the disjoint union of three kinds of edges: $E=\lbrace C,\,D,\,X\rbrace$, where...

Take the $SU(2)$ Yang-Mills Lagrangian in $3+1$d:
$$\mathcal{L} = -\frac{1}{4} G^a_{\mu \nu} G^{\mu \nu}_a$$
There are several types of solutions known to this system.

We have two quadrivariates $G_1(x_1,x_2,x_3,x_4), G_2(x_1,x_2,x_3,x_4)$ which are irreducible and with large integer coefficients (as large as $T^c$ where $T=\max_{i\in\{1,\dots,4\}}T_u$ for a $c\in\mathbb N$ with $c=O(1)$ where $T_1,\dots,T_4$ are dimensions...