On existence of shape optimization for a p-Laplacian equation over a class of open domains

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

Słowa kluczowe

EN

Laplacian; shape optimization; existence

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2014
• Tom: Vol. 43, no. 1
• Strony: 15--31
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Guo Bao-Zhu.

• Academy of Mathematics and Systems Science, Academia Sinica Beijing 100190, P.R.China
• School of Computational and Applied Mathematics University of the Witwatersrand, Wits 2050, Johannesburg, South Africa
• Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

autor

Yang D. H.

• School of Mathematics, Central South University Changsha 410075, P.R.China

Bibliografia

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