一类双相问题多重解的存在性OACSTPCD
Multiple Solutions for a Class of Double Phase Problem
本文研究一类双相问题多重解的存在性.基于变分方法,证明了该问题至少存在两个非平凡解.当非线性项关于u是奇函数,利用对称山路引理,我们同时得到了该问题存在无穷多对解.
In this paper,we deal with the existence of multiple nontrivial solutions for a class of double phase problem.Based on variational methods,we prove the existence of at least two nontrivial solutions for this problem.Moreover,if the nonlinearity is odd in u,we also obtain infinitely many pairs of solutions via symmetry mountain pass theorem.
钱正雅;王智勇
南京信息工程大学数学与统计学院,江苏南京210044南京信息工程大学数学与统计学院,江苏南京210044
数理科学
双相问题山路定理Ekeland变分原理对称山路定理
Double phase problemMountain pass theoremEkeland variational principleSymmetry mountain pass theorem
《应用数学》 2023 (2)
400-408,9
Supported by the National Natural Science Foundation of China(11571176,11701289)and Jiangsu Province Science Foundation for Youths(BK20170936)
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