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Research paper | Publishing Language: Chinese

Fujita-Type Nonexistence for an Inhomogeneous Nonlocal Quasilinear Parabolic Differential Inequality

School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
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Abstract

This paper studies nonexistence of nontrivial nonnegative weak solutions for an inhomogeneous nonlocal weighted parabolic differential inequality in the whole space, involving p-Laplacian type quasilinear operator and the weight functions may be singular or degenerate at the origin. In the framework of test functions theory, modifying the nonlinear capacity method to derive precise a priori estimates and establish a new Fujita-type nonexistence theorem.

Keywords

inhomogeneous parabolic differential inequalitynonlocal sourceweight functionFujita-type nonexistence
CLC number: O175 Document code: A Article ID: 1672-5174(2026)04-087-13

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Periodical of Ocean University of China
Volume 56 Issue 4,
April 2026
Pages 87-99
DOI: 10.16441/j.cnki.hdxb.20240319

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Cite this article:
Li M, Fang Z. Fujita-Type Nonexistence for an Inhomogeneous Nonlocal Quasilinear Parabolic Differential Inequality. Periodical of Ocean University of China, 2026, 56(4): 87-99. https://doi.org/10.16441/j.cnki.hdxb.20240319

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Received: 24 September 2024
Revised: 29 October 2024
Published: 01 April 2026
© Periodical of Ocean University of China