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Extremal domains in : Geometric and Analytic methods
JM Espinar, DA Marín - arxiv preprint arxiv:2410.23777, 2024 - arxiv.org
In this paper, we study domains $\Omega\subset\mathbb {S}^ 2$ that support positive
solutions to the overdetermined problem $\Delta {u}+ f (u,|\nabla u|)= 0$ in $\Omega $, with …
solutions to the overdetermined problem $\Delta {u}+ f (u,|\nabla u|)= 0$ in $\Omega $, with …
Extremal Domains in $\Mathbb {S}^ 2$: Geometric and Analytic Methods
DA Marín Muñoz, JM Espinar - Available at SSRN 5104685 - papers.ssrn.com
We study domains $\Omega\subset\mathbb {S}^ 2$ that support positive solutions to the
overdetermined problem $\Delta {u}+ f (u,|\nabla u|)= 0$ in $\Omega $, with the boundary …
overdetermined problem $\Delta {u}+ f (u,|\nabla u|)= 0$ in $\Omega $, with the boundary …