Infinitely many solutions for Hamiltonian system with critical growth

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2024-01-01 DOI:10.1515/anona-2023-0134

Yuxia Guo, Yichen Hu

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引用次数: 0

Abstract

In this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain: − Δ u = K 1 ( ∣ y ∣ ) ∣ v ∣ p − 1 v , in B 1 ( 0 ) , − Δ v = K 2 ( ∣ y ∣ ) ∣ u ∣ q − 1 u , in B 1 ( 0 ) , u = v = 0 on ∂ B 1 ( 0 ) ,

\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspac

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具有临界增长的哈密顿系统的无限多解

在本文中，我们考虑以下有界域上的哈密顿型椭圆系统： - Δ u = K 1 ( ∣ y ∣ ) ∣ v ∣ p - 1 v , in B 1 ( 0 ) , - Δ v = K 2 ( ∣ y ∣ ) ∣ u ∣ q - 1 u , in

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