3 papers
math.AP2025
Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three
Yixing Pu
We investigate the existence of solutions to the semilinear equation with a slightly supercritical exponent in dimension three, \begin{align*} -Îu=K(x) u^{5+μ},\quad u>0 ~\text{i…
math.AP2025
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…
math.AP2025
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…