p-k-Hessian 方程的非rivial p-k-convex 径向解的存在性和渐近行为

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Meiqiang Feng, Yichen Lu
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引用次数: 0

摘要

我们通过完全连续算子的特征值理论,研究了 p-k-Hessian 方程的 p-k 凸径向解的存在性和渐近行为。这可能是首次利用这一技术研究 p-k-Hessian 方程。本文还得出了几个新的不存在结论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Existence and asymptotic behavior of nontrivial p-k-convex radial solutions for p-k-Hessian equations

We study, via the eigenvalue theory of completely continuous operators, the existence and asymptotic behavior of nontrivial p-k-convex radial solutions for a p-k-Hessian equation. This is probably the first time that p-k-Hessian equations have been studied by employing this technique. Several new nonexistence conclusions are also derived in this paper.

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来源期刊
Letters in Mathematical Physics
Letters in Mathematical Physics 物理-物理:数学物理
CiteScore
2.40
自引率
8.30%
发文量
111
审稿时长
3 months
期刊介绍: The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.
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