Bernoulli jets and the zero mean curvature equation |
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Authors: | Enrico Valdinoci |
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Institution: | Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, I-00133 Roma, Italy |
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Abstract: | We consider an elliptic PDE problem related with fluid mechanics. We show that level sets of rescaled solutions satisfy the zero mean curvature equation in a suitable weak viscosity sense. In particular, such level sets cannot be touched from below (above) by a convex (concave) paraboloid in a suitably small neighborhood. |
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Keywords: | 35J60 35J70 35R35 76M30 76B10 |
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