caa a22 4500 606244506 CHVBK 20210128101330.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s12044-015-0240-9 doi (NATIONALLICENCE)springer-10.1007/s12044-015-0240-9 Soliton solutions for a quasilinear Schrödinger equation via Morse theory [Elektronische Daten] [DUCHAO LIU, PEIHAO ZHAO] 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 − Δ p u − p 2 p − 1 u Δ p ( u 2 ) = f ( x , u ) $-{\Delta }_{p} u-\frac {p}{2^{p-1}}u{\Delta }_{p}(u^{2})=f(x,u)$ in a bounded smooth domain Ω ⊂ ℝ N ${\Omega }\subset \mathbb {R}^{N}$ with Dirichlet boundary condition. Indian Academy of Sciences, 2015 Quasilinear Schrödinger equation nationallicence soliton solution nationallicence critical point nationallicence Morse theory nationallicence local linking nationallicence LIU DUCHAO School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, People's Republic of China aut ZHAO PEIHAO School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, People's Republic of China aut Proceedings - Mathematical Sciences Springer India 125/3(2015-08-01), 307-321 0253-4142 125:3<307 2015 125 12044 https://doi.org/10.1007/s12044-015-0240-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0240-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- LIU DUCHAO School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, People's Republic of China aut NATIONALLICENCE 700 1- ZHAO PEIHAO School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, People's Republic of China aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/3(2015-08-01), 307-321 0253-4142 125:3<307 2015 125 12044