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Doubling and Desingularization Constructions for Minimal Surfaces
Differential geometry minimal surfaces partial differential equations
2011/2/28
In the first part of the paper we discuss the current status of the application of the gluing methodology to doubling and desingularization constructions for minimal surfaces in Riemannian three-manif...
Existence of minimal nodal solutions for the Nonlinear Schroedinger equations with V ({\infty}) = 0
Nonlinear Equations Variational Methods Orlicz Spaces,
2011/2/28
We consider the problem u + V (x)u = f′(u) in RN. Here the non-linearity has a double power behavior and V is invariant under an orthogonal involution, with V (∞) = 0. An existence theorem of one pai...
Lawson's genus two minimal surface and meromorphic connections
Lawson's genus two minimal surface meromorphic connections
2010/12/14
We investigate the Lawson genus 2 surface by methods from integrable system theory. We prove that the associated family of flat connections comes from a family of flat connections on a 4−punctur...
For any m > 1, we construct properly embedded minimal surfaces in H2 R with genus zero,
infinitely many vertical planar ends and m limit ends. We also provide examples with an infinite countable nu...