On Existence of Shape Optimization for a p-Laplacian Equation over a Class of Open Domains

• Autorzy: Bao-Zhu Guo , D. H. Yang
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce four new classes of open sets in general Euclidean space RN. It is shown that every such class of open sets is compact under the Hausdorff distance. The result is applied to a shape optimization problem of p-Laplacian equation. The existence of the optimal solution is presented. (original abstract)

Słowa kluczowe

EN

Optimization theory; Control theory

PL

Teoria optymalizacji; Teoria kontroli

• Czasopismo: Control and Cybernetics
• Rocznik: 2014
• Tom: 43
• Numer: nr 1
• Strony: 15--31

Twórcy

autor

Bao-Zhu Guo

• Academy of Mathematics and Systems Science, Academia Sinica Beijing, P.R.China

autor

D. H. Yang

• School of Mathematics, Central South University Changsha, P.R.China

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