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http://hdl.handle.net/10397/93310
Title: | Solvable optimization problems involving a p-Laplacian type operator | Authors: | Qiu, C Yang, X Zhou, Y |
Issue Date: | 2022 | Source: | Applicable analysis, 2022, v. 101, no. 9, 3246-3263 | Abstract: | This paper is concerned with maximization and minimization problems related to a boundary value problem involving a p-Laplacian type operator. These optimization problems are formulated relative to the rearrangement of a fixed function. Firstly, by introducing a truncated function, we establish the existence and uniqueness of the solution of the boundary value problem involving a p-Laplacian type operator, and then, we show that both optimization problems are solvable under some suitable assumptions. Furthermore, we show that the solution of the minimization problem is unique and has some symmetric property if the domain considered is a ball. | Keywords: | Optimization P-Laplacian Rearrangement Symmetric |
Publisher: | Taylor & Francis | Journal: | Applicable analysis | ISSN: | 0003-6811 | EISSN: | 1563-504X | DOI: | 10.1080/00036811.2020.1842372 | Rights: | © 2020 Informa UK Limited, trading as Taylor & Francis Group This is an Accepted Manuscript of an article published by Taylor & Francis in Applicable analysis on 05 Nov 2020 (published online), available at: http://www.tandfonline.com/10.1080/00036811.2020.1842372 |
Appears in Collections: | Journal/Magazine Article |
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Yang_Solvable_Optimization_Problems.pdf | Pre-Published version | 852.71 kB | Adobe PDF | View/Open |
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