網頁2024年11月29日 · In this survey we consider the classical overdetermined problem which was studied by Serrin in 1971. The original proof relies on Alexandrov's moving plane … 網頁In this survey we consider the classical overdetermined problem which was studied by Serrin in 1971. The original proof relies on Alexandrov’s moving plane method, maximum …

[1711.10787v1] The classical overdetermined Serrin problem

網頁2024年10月1日 · In this paper, we study some overdetermined boundary value problems for anisotropic elliptic PDEs in a bounded domain Ω in a convex cone of Rn. By using some integral identities and maximum... 網頁2024年9月6日 · We refer to a nice survey paper by Nitsch–Trombetti [ 18] for an overview of Serrin type overdetermined problem and a collection of proofs to Serrin’s theorem, as well as another nice survey paper by Magnanini [ 15] on the relationship of Alexandrov’s theorem and Serrin’s theorem. martin schiff md

Analysis of two-phase shape optimization problems by means of …

網頁Overdetermined elliptic problem is related to plasma physics [36], nuclear reac-tors [3] and tomography [33,35]. Since Serrin’s famous work [32], overdetermined elliptic problem has attracted the attention of many mathematicians. In the post half century, 網頁A celebrated theorem of Serrin asserts that one overdetermined condition on the boundary is enough to obtain radial symmetry in the one-phase overdetermined torsion problem. It is also known that imposing just one overdetermined condition on the boundary is not enough to obtain radial symmetry in the corresponding multi-phase overdetermined problem. 網頁Giuseppe Buttazzo ， Bernd Kawohl. 摘要：. We consider overdetermined boundary value problems for the $\\infty$-Laplacian in a domain $\\Omega$ of $\\R^n$ and discuss what kind of implications on the geometry of $\\Omega$ the existence of a solution may have. The classical $\\infty$-Laplacian, the normalized or game-theoretic $\\infty ... martin schilbe tree care