Flatness of Bernoulli jets |
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| Authors: | Enrico Valdinoci |
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| Affiliation: | (1) Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, I-00133 Roma, Italy |
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| Abstract: | Level sets of minimizers of a possibly singular or degenerate elliptic variational problem related with fluid jets are shown to possess a Harnack-type inequality. A few flatness and one-dimensional results thence follow. This work has been partially supported by MIUR Variational Methods and Nonlinear Differential Equations. ``...e diedi un volto a quelle mie chimere le navi costruii di forma ardita, concavi navi dalle vele nere...'(Fancesco Guccini, Odysseus.) |
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| Keywords: | p-Laplacian operator Free boundary problems Sliding methods Geometric and qualitative properties of solutions Variational models in fluid dynamics |
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