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math.AP2016
The Brezis-Nirenberg problem for fractional elliptic operators
Ko-Shin Chen, Marcos Montenegro, Xiaodong Yan
In the present paper, we study the effect of an elliptic operator in divergence form L defined in a bounded open set on the existence and nonexistence of positive solutions of the…
math.AP2011★ 5 cited
Instability of Ginzburg-Landau Vortices on Manifolds
Ko-Shin Chen
We investigate two settings of Ginzburg-Landau posed on a manifold where vortices are unstable. The first is an instability result for critical points with vortices of the Ginzburg…