期刊论文详细信息
Kodai Mathematical Journal | |
Some remarks on a shape optimization problem | |
Francesco Della Pietra1  | |
[1] Università degli studi di Napoli "Federico II" Dipartimento di Matematica e Applicazioni "R. Caccioppoli" | |
关键词: Eigenvalues; Shape optimization; Symmetrization; | |
DOI : 10.2996/kmj/1414674612 | |
学科分类:数学(综合) | |
来源: Tokyo Institute of Technology, Department of Mathematics | |
【 摘 要 】
References(17)Given a bounded open set Ω of Rn, n ≥ 2, and α ∈ R, let us considerμ(Ω,α) = $\min_{\substack{v\in W_{0}^{1,2}(\Omega)\\v\not\equiv 0}} \frac{\ds\int_{\Omega} |\nabla v|^{2}dx+\alpha \left|\ds\int_{\Omega}|v|v\,dx \right|}{\ds\int_{\Omega} |v|^{2}dx}$.We study some properties of μ(Ω,α) and of its minimizers, and, depending on α, we determine the sets Ωα among those of fixed measure such that μ(Ωα,α) is the smallest possible.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080708072ZK.pdf | 18KB | download |