108 citations · 181 across the 39 of their papers we have counts for
4 papers · 1 filter
Trudinger-Moser inequalities on complete noncompact Riemannian manifolds
Yunyan Yang
Though Trudinger-Moser inequalities on compact Riemannian manifolds or Euclidean space are well understood, we know little about them on complete noncompact Riemannian manifolds. I…
Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
Yunyan Yang
In this paper a quasi-linear elliptic equation in the whole Euclidean space is considered. The nonlinearity of the equation is assumed to have exponential growth or have critical g…
Adams type inequalities and related elliptic partial differential equations in dimension four
Yunyan Yang
Motivated by Ruf-Sani's recent work, we prove an Adams type inequality and a singular Adams type inequality in the whole four dimensional Euclidean space. As applications of those…
Smoothing metrics on closed Riemannian manifolds through the Ricci flow
Yunyan Yang
Under the assumption of the uniform local Sobolev inequality, it is proved that Riemannian metrics with an absolute Ricci curvature bound and a small Riemannian curvature integral…