Some shape optimization problems for eigenvalues

被引：5

作者：

Gasimov, Yusif S. ^{[1
]}

机构：

[1] Boku State Univ, Inst Appl Math, AZ-1148 Baku, Azerbaijan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 05期

关键词：

D O I：

10.1088/1751-8113/41/5/055202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work we consider some inverse problems with respect to domain for the Laplace operator. The considered problems are reduced to the variational formulation. The equivalency of these problems is obtained under some conditions. The formula is obtained for the eigenvalue in the optimal domain.

引用

页数：9

共 50 条

[1] On some rescaled shape optimization problems
Buttazzo, G.
Wagner, A.
ADVANCES IN CALCULUS OF VARIATIONS, 2010, 3 (02) : 213 - 232
[2] Some nonconvex shape optimization problems
Kawohl, B
OPTIMAL SHAPE DESIGN, 2000, 1740 : 7 - 46
[3] Optimal shape problems for eigenvalues
Wagner, A
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2005, 30 (07) : 1039 - 1063
[4] The role of monotonicity in some shape optimization problems
Buttazzo, G
Trebeschi, P
CALCULUS OF VARIATIONS AND DIFFERENTIAL EQUATIONS, 2000, 410 : 41 - 55
[5] DOUBLE EIGENVALUES IN OPTIMIZATION PROBLEMS
BRATUS, AS
SEIRANIAN, AP
DOKLADY AKADEMII NAUK SSSR, 1983, 272 (02): : 275 - 278
[6] A class of shape optimization problems for some nonlocal operators
Fernandez Bonder, Julian
Ritorto, Antonella
Martin Salort, Ariel
ADVANCES IN CALCULUS OF VARIATIONS, 2018, 11 (04) : 373 - 386
[7] SEMICLASSICAL EIGENVALUES AND SHAPE PROBLEMS ON SURFACES OF REVOLUTION
GURARIE, D
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (04) : 1934 - 1944
[8] MULTIPLE EIGENVALUES IN OPTIMIZATION PROBLEMS.
Seiranyan, A.P.
1600, (51):
[9] MULTIPLE-EIGENVALUES IN OPTIMIZATION PROBLEMS
SEIRANYAN, AP
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1987, 51 (02): : 272 - 275
[10] The eigenvalues of some problems with a nonlocal condition
Sapagovas, MP
DIFFERENTIAL EQUATIONS, 2002, 38 (07) : 1020 - 1026

← 1 2 3 4 5 →