Some further results on the nonlocal p-Laplacian type problems

Chao Zhang; Xia Zhang

doi:10.1017/prm.2020.45

Some further results on the nonlocal p-Laplacian type problems

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	953-970
Number of pages	18
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	151
Issue number	3
DOIs	https://doi.org/10.1017/prm.2020.45
State	Published - Jun 2021
Externally published	Yes

Keywords

Nonlocal p-Laplacian type problems
entropy solutions
existence
weak solutions

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10.1017/prm.2020.45

Cite this

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abstract = "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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N2 - 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).

AB - 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).

KW - Nonlocal p-Laplacian type problems

KW - entropy solutions

KW - existence

KW - weak solutions

UR - https://www.scopus.com/pages/publications/85090472577

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DO - 10.1017/prm.2020.45

M3 - 文章

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SN - 0308-2105

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

IS - 3

ER -

Some further results on the nonlocal p-Laplacian type problems

Abstract

Keywords

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