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.
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页码：3479 / 3496
页数：18
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