Some further results on the nonlocal p-Laplacian type problems

Chao Zhang; Xia Zhang

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Some further results on the nonlocal p-Laplacian type problems

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摘要

We study the existence of entropy solutions by assuming the right-hand side function f to be an integrable function for some elliptic nonlocal p-Laplacian type problems. Moreover, the existence of weak solutions for the corresponding parabolic cases is also established. The main aim of this paper is to provide some positive answers for the two questions proposed by Chipot and de Oliveira (Math. Ann., 2019, 375, 283-306).

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《Proceedings of the Royal Society of Edinburgh, Section A. Mathematics》 |2021年第3期|953-970|共18页
作者
Chao Zhang; Xia Zhang;
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作者单位

School of Mathematics and Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;

School of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Nonlocal p-Laplacian type problems; entropy solutions; weak solutions; existence;

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Some further results on the nonlocal p-Laplacian type problems

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