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math.AP2020
Concentration solutions to singularly prescribed Gaussian and geodesic curvatures problem
LiPing Wang, Chunyi Zhao
We consider the following Liouville-type equation with exponential Neumann boundary condition: $$ -Δ\tilde u = \varepsilon^2 K(x) e^{2\tilde u}, \quad x\in D, \qquad \frac{\partial…
math.AP2018
Embeddings of weighted Sobolev spaces and a weighted fourth order elliptic equation
Zongming Guo, Fangshu Wan, Liping Wang
New embeddings of weighted Sobolev spaces are established. Using such embeddings, we obtain the existence and regularity of positive solutions with Navier boundary value problems f…
math.AP2017
On Delaunay solutions of a biharmonic elliptic equation with critical exponent
Zongming Guo, Xia Huang, Liping Wang +1
We are interested in the qualitative properties of positive entire solutions of the equation \begin{equation} \label{0.0} Δ^2 u=u^{\frac…