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math.AP2011
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…
math.AP2011★ 1 cited
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…
math.DG2011
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…