A transmission problem with (p, q)-Laplacian

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-06-14 DOI:10.1080/03605302.2023.2175216

Maria Colombo, Sunghan Kim, H. Shahgholian

引用次数: 2

Abstract

Abstract In this paper we consider the so-called double-phase problem where the phase transition takes place across the interface of the positive and negative phase of minimizers of the functional We prove that minimizers exist, are Hölder regular and verify in a weak sense. We also prove that their free boundary is a.e. with respect to the measure whose support is of σ-finite -dimensional Hausdorff measure.

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具有（p，q）-Laplacian算子的一个传输问题

摘要在本文中，我们考虑了所谓的双相问题，其中相变发生在泛函的极小子的正相和负相的界面上。我们证明了极小子的存在，是Hölder正则的，并在弱意义上进行了验证。我们还证明了它们的自由边界是关于其支持为σ-有限维Hausdorff测度的测度的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.