4 papers
Prescribing curvatures on surfaces with conical singularities and corners
Luca Battaglia, Francisco Javier Reyes-Sanchez
This paper is concerned with the problem of prescribing Gaussian curvature and geodesic curvature in a compact surface with boundary with conical singularities and corners. Solutio…
Infinitely many solutions for a boundary Yamabe problem
Luca Battaglia, Giusi Vaira, Yixing Pu
We consider the classical geometric problem of prescribing the scalar and the boundary mean curvature in the unit ball endowed with the standard Euclidean metric. We will deal with…
Prescribing almost constant curvatures on manifolds with boundary
Luca Battaglia, Yixing Pu
In this paper, we investigate a boundary case of the classical prescribed curvature problem. We focus on prescribing the scalar curvature function K and the boundary mean curvature…
A mean field problem approach for the double curvature prescription problem
Luca Battaglia, Rafael López-Soriano
In this paper we establish a new mean field-type formulation to study the problem of prescribing Gaussian and geodesic curvatures on compact surfaces with boundary, which is equiva…