Nonexistence of solutions for quasilinear Schrodinger equation in Double-struck capital RN

被引：0

作者：

Chen, Lijuan ^{[1
,2
]}

Chen, Caisheng ^{[2
]}

Yang, Hongwei ^{[3
]}

Xiu, Zonghu ^{[4
]}

机构：

[1] Yancheng Inst Technol, Yancheng, Peoples R China

[2] Hohai Univ, Coll Sci, Nanjing, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China

[4] Qingdao Agr Univ, Sci & Informat Coll, Qingdao, Peoples R China

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Quasilinear Schrodinger equations; Pohazaev-type identity; nonexistence of solutions;

D O I：

10.1080/00036811.2020.1854231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the nonexistence of solutions to the quasilinear Schrodinger equations: -Delta(p)u + V(x)vertical bar u vertical bar(p-2)u - Delta(p)(vertical bar u vertical bar(2 alpha))vertical bar u vertical bar(2 alpha-2)u = g(x, u), x is an element of R-N, (1) where p-Laplacian operator Delta(p)u = div(vertical bar del u vertical bar(p-2)del u), 1 < p < N and alpha > 1/2 is a parameter. Under suitable conditions on g(x, u), the nonexistence of solutions to Equation (1) is investigated.

引用

页码：3479 / 3496

页数：18

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