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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：西北师范大学
学位：博士
所在单位：数学科学学院
学科：应用数学. 基础数学
办公地点：B1409
联系方式：大连理工大学创新园大厦
电子邮箱：daiguowei@dlut.edu.cn
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Existence and multiplicity results for double phase problem
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论文类型：期刊论文
发表时间：2018-11-05
发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS
收录刊物：SCIE、Scopus
卷号：265
期号：9
页面范围：4311-4334
ISSN号：0022-0396
关键字：Double phase problems; Musielak-Orlicz spaces; Sign-changing solution
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.