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math.AP2012
Uniform estimates for positive solutions of semilinear elliptic equations and related Liouville and one-dimensional symmetry results
Christos Sourdis
We consider a semilinear elliptic equation with Dirichlet boundary conditions in a smooth, possibly unbounded, domain. Under suitable assumptions, we deduce a condition on the size…
math.AP2012★ 5 cited
The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit
Georgia D. Karali, Christos Sourdis
We study the ground state which minimizes a Gross-Pitaevskii energy with general non-radial trapping potential, under the unit mass constraint, in the Thomas-Fermi limit where a sm…