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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…