A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative
By F. Brock, Antoine Henrot. 2002
59 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/6f4bc615b67a0f83e948deb46d49f2e4cad2a912
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Sven Jarohs
- M. Fall
- Ilaria Fragalà
- Filippo Gazzola
- B. Kawohl
- Alberto Farina
- Tobias Weth
- Enrico Valdinoci
In Computational Theory and Mathematics
- Sven Jarohs
- M. Fall
- Filippo Gazzola
- Ilaria Fragalà
- B. Kawohl
- Alberto Farina
- Tobias Weth
- Enrico Valdinoci
Citations in the corpus
- Remarks on an overdetermined boundary value problem (2008, methodology): “A totally different line of reasoning was pursued in [2], where Brock and Henrot used continuous Steiner symmetrization and domain derivative to study an overdetermined problem under the assumption that is a convex domain and for a class of quasilinear operators of p-Laplacian-type.”
- Overdetermined problems with fractional Laplacian (2013, background): “Since a complete list of references cannot be given, we only quote: [1, 4, 7, 8, 11, 10, 12, 19, 20, 22, 23, 25, 28, 31, 32, 34, 33, 39, 38].”
- Overdetermined problems with possibly degenerate ellipticity, a geometric approach (2006, methodology): “1 The assumptions made on the operator A in [15] (and in [6]) were that A(t) = f ′(t)/t, where f is a positive convex function of class C2(0, +∞) satisfying c1(t − 1) ≤ tf ′(t) ≤ c2(t + 1) , c1 ≤ tf ′′(t)/f ′(t) ≤ c2 for all t > 0, some r ∈ (1, +∞) and some positive constants c1 and c2.”