涉及超临界指数的分数（p,q）-拉普拉卡问题的符号变化解法

Fractal and Fractional Pub Date : 2024-03-25 DOI:10.3390/fractalfract8040186

Jianwen Zhou, Chengwen Gong, Wenbo Wang

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摘要

在本文中，我们考虑以下分数（p,q）-拉普拉斯问题 (-Δ)ps1u+(-Δ)qs2u+V(x)(|u|p-2u+|u|q-2u)=f(u)+λ|u|r-2u, 其中 x∈RN, (-Δ)ps1 是分数 p 拉普拉斯算子（(-Δ)qs2 类似），00 很小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Sign-Changing Solution for Fractional (p,q)-Laplacian Problems Involving Supercritical Exponent

In this article, we consider the following fractional (p,q)-Laplacian problem (−Δ)ps1u+(−Δ)qs2u+V(x)(|u|p−2u+|u|q−2u)=f(u)+λ|u|r−2u, where x∈RN, (−Δ)ps1 is the fractional p-Laplacian operator ((−Δ)qs2 is similar), 00 is small.

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Fractal and Fractional

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