1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
Nonexistence of quasi-harmonic sphere with large energy
Jiayu Li, Yunyan Yang
Nonexistence of quasi-harmonic spheres is necessary for long time existence and convergence of harmonic map heat flows. Let be a complete noncompact Riemannian manifolds. A…
Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
Yuxiang Li, Pan Liu, Yunyan Yang
Let be a 2-dimensional compact Riemannian manifold. In this paper, we use the method of blowing up analysis to prove several Moser-Trdinger type inequalities for vector bun…