Normalized solutions of (p,q)-Laplacian
equation with Lq-subcritical or
Lq-supercritical growth in RN
报告专家:王文波 副研究员(云南大学)
报告时间:3月21日(周六)15:00-17:00
报告地点:国家天元数学西南中心401
报告摘要:
In this talk, we are concerned with the following (p,q)-Laplacian equation

where
,
is similar.
is the mass critical exponent for prescribed
-norm problems for the
-Laplacian. We consider the corresponding minimization problem. When
, it admits a minimizer. If
, a non-existence result is given. If
, local minimizer is obtained. The methods used here contain mountainpass argument on the prescribed
-norm constraint, a new Moser’s iteration and Pohozaev’s identity. We point out that if
, the Lagrange multiplier
. Here
and
. Some asymptotical behaviours are also
given as
.
专家简介:
王文波,云南大学数学与统计学院副研究员,云南省兴滇英才青年人才。2018年于中国科学大学获博士学位,2018至2020年在云南大学数学博士后流动站从事临界点理论研究工作,随后留在云南大学工作。完成国家自然科学基金青年项目一项,发表SCI论文34篇,引用近160次.目前在Schrodinger方程解的存在性及其性质方面做了一些有意义的结果。
邀请人:王泉