Cellular membranes change conformation in striking ways during such processes as movement, division, the extension of neuronal arbors and vesicle trafficking. Vesicle budding and fusion occur with ...
We study the conformal deformation equation Δu − 2kg + 2Keu = 0 on noncompact surfaces of finite topological type with K nonpositive. Sharp existence and nonexistence results are obtained. There are ...
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