具有R^N临界增长的p分数Kirchhoff方程解的存在性与不存在性

Q4 Mathematics

Mathematica Pub Date : 2023-06-15 DOI:10.24193/mathcluj.2023.1.11

M. Massar

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引用次数: 0

摘要

"本文研究了一类p分数Kirchhoff方程。通过将方程转化为一个等价方程组，在不使用众所周知的Ambrosetti-Rabinowitz (AR)条件的情况下，建立了至少一个非平凡解或两个非平凡解的存在性。此外，还讨论了不存在的情况。我们的结果扩展并完善了最近的文献工作。”

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Existence and nonexistence of solutions for a p-fractional Kirchhoff equation with critical growth in R^N

"This paper deals with a certain p-fractional Kirchhoff equation. By transforming the equation into an equivalent system, we establish the existence of at least one nontrivial solution or two nontrivial solutions without using the well-known Ambrosetti-Rabinowitz (AR) condition. Furthermore, the nonexistence case is also treated. Our result extends and completes the recent works in the literature."

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来源期刊

Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量