Tangential contact between free and fixed boundaries for variational solutions to variable-coefficient Bernoulli-type free boundary problems
Diego Moreira
Universidade Federal do Ceará, Fortaleza, BrazilHarish Shrivastava
Gandhi Institute of Technology and Management (GITAM), Bangalore, India
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Abstract
In this paper, we show that, given appropriate boundary data, the free boundaries of minimizers of functionals of type and the fixed boundary touch each other in a tangential fashion. We extend the results of Karakhanyan, Kenig, and Shahgholian [Calc. Var. Partial Differential Equations 28 (2007), 15–31] to the case of variable coefficients. We prove this result via classification of the global profiles, as per Karakhanyan, Kenig, and Shahgholian [Calc. Var. Partial Differential Equations 28 (2007), 15–31].
Cite this article
Diego Moreira, Harish Shrivastava, Tangential contact between free and fixed boundaries for variational solutions to variable-coefficient Bernoulli-type free boundary problems. Interfaces Free Bound. 26 (2024), no. 2, pp. 217–243
DOI 10.4171/IFB/509