scholarly journals On the Bernoulli free boundary problem and related shape optimization problems

2001 ◽  
pp. 1-13 ◽  
Author(s):  
Mohammed Hayouni ◽  
Antoine Henrot ◽  
Nadia Samouh
Keyword(s):  
Free Boundary ◽  
Shape Optimization ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Optimization Problems ◽  
Bernoulli Free Boundary

scholarly journals A nonstandard free boundary problem arising in the shape optimization of thin torsion rods

2013 ◽  
Vol 15 (1) ◽  
pp. 95-119 ◽  
Author(s):  
Jean Jacques Alibert ◽  
Guy Bouchitté ◽  
Ilaria Fragalà ◽  
Ilaria Lucardesi
Keyword(s):  
Free Boundary ◽  
Shape Optimization ◽  
Boundary Problem ◽  
Free Boundary Problem

Gamma limits in some Bernoulli free boundary problem

2005 ◽  
Vol 84 (1) ◽  
pp. 79-87 ◽  
Author(s):  
Bernd Kawohl ◽  
Henrik Shahgholian
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Bernoulli Free Boundary

scholarly journals On the supremal version of the Alt–Caffarelli minimization problem

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Graziano Crasta ◽  
Ilaria Fragalà
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Recent Work ◽  
Free Boundary Problem ◽  
Minimization Problem ◽  
Companion Paper ◽  
Infinity Laplacian ◽  
Link Type ◽  
Bernoulli Free Boundary

Abstract This is a companion paper to our recent work [Bernoulli free boundary problem for the infinity Laplacian, preprint 2018, https://arxiv.org/abs/1804.08573]. Here we consider its variational side, which corresponds to the supremal version of the Alt–Caffarelli minimization problem.

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