Shape derivatives in Kondratiev spaces for conical diffraction

2012 ◽  
Vol 35 (12) ◽  
pp. 1365-1391 ◽  
Author(s):  
N. Kleemann
Keyword(s):  
Shape Derivatives ◽  
Kondratiev Spaces

scholarly journals Shape derivatives for minima of integral functionals

2013 ◽  
Vol 148 (1-2) ◽  
pp. 111-142 ◽  
Author(s):  
Guy Bouchitté ◽  
Ilaria Fragalà ◽  
Ilaria Lucardesi
Keyword(s):  
Integral Functionals ◽  
Shape Derivatives

scholarly journals Shape optimization for an elliptic operator with infinitely many positive and negative eigenvalues

2018 ◽  
Vol 7 (1) ◽  
pp. 49-66 ◽  
Author(s):  
Catherine Bandle ◽  
Alfred Wagner
Keyword(s):  
Eigenvalue Problem ◽  
Shape Optimization ◽  
Elliptic Operator ◽  
Fundamental Frequency ◽  
Isoperimetric Inequalities ◽  
Main Question ◽  
Shape Derivatives ◽  
Negative Eigenvalues ◽  
Domain Variations ◽  
Circular Domains

AbstractThis paper deals with an eigenvalue problem possessing infinitely many positive and negative eigenvalues. Inequalities for the smallest positive and the largest negative eigenvalues, which have the same properties as the fundamental frequency, are derived. The main question is whether or not the classical isoperimetric inequalities for the fundamental frequency of membranes hold in this case. The arguments are based on the harmonic transplantation for the global results and the shape derivatives (domain variations) for nearly circular domains.

scholarly journals A Variational Method for Second Order Shape Derivatives

2016 ◽  
Vol 54 (2) ◽  
pp. 1056-1084 ◽  
Author(s):  
Guy Bouchitté ◽  
Ilaria Fragalà ◽  
Ilaria Lucardesi
Keyword(s):  
Variational Method ◽  
Second Order ◽  
Shape Derivatives
Sign in / Sign up

Export Citation Format

Share Document