Existence and multiplicity results for double phase problem

被引：240

作者：

Liu, Wulong ^{[1
]}

Dai, Guowei ^{[2
]}

机构：

[1] Jiangxi Univ Sci & Technol, Sch Sci, Ganzhou 341000, Jiangxi, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 265卷 / 09期

关键词：

Double phase problems; Musielak-Orlicz spaces; Sign-changing solution; REGULARITY; FUNCTIONALS; MINIMIZERS; CALCULUS;

D O I：

10.1016/j.jde.2018.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By variational method, we obtain various existence and multiplicity results for the following double phase problem {-div(vertical bar del u vertical bar(p-2)del u + a(x) vertical bar u vertical bar(q-2)del u) = f(x,u) in Omega, u=0 on partial derivative Omega. In particular, we find a sign-changing ground state solution. Some properties of double phase operator are also obtained. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：4311 / 4334

页数：24

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