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Minimality of the vortex solution for Ginzburg-Landau systems

We consider the standard Ginzburg-Landau system for N-dimensional maps definedin the unit ball for some parameter eps>0. For a boundary data corresponding to a vortex of topological degree one, the...

The Jenkins-Serrin Theorem reloaded

Jenkins and Serrin in the sixties proved a famous theorem   about minimal graphs in the Euclidean 3-space with infinite boundary values. After reviewing the classical results, we show how to solv...
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