期刊论文详细信息
Proceedings Mathematical Sciences | |
Soliton solutions for a quasilinear Schrödinger equation via Morse theory | |
Duchao Liu2  Peihao Zhao1  | |
[1] $$;School of Mathematics and Statistics, Lanzhou University, Lanzhou 0000, People’s Republic of China$$ | |
关键词: Quasilinear Schrödinger equation; soliton solution; critical point; Morse theory; local linking.; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
In this paper, Morse theory is used to show the existence of nontrivial weak solutions to a class of quasilinear Schrödinger equation of the form$$-𛥠u - frac{p}{2^{p-1}} u ð›¥_p (u^2) = f(x, u)$$in a bounded smooth domain $𛺠subset mathbb{R}^N$ with Dirichlet boundary condition.
【 授权许可】
Unknown
【 预 览 】
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RO201912040507151ZK.pdf | 121KB | download |