Multiple solutions for a coercive quasilinear elliptic equation via Morse theory

Boundary value problems

Mingzheng Sun¹  Lifang Fu² 

[1] College of Sciences, North China University of Technology, 100144, Beijing, People’s Republic of China;Faculty of Science, Henan University of Animal Husbandry and Economy, 450044, Zhengzhou, People’s Republic of China;

关键词: Quasilinear elliptic equations;    Resonant;    Morse theory;    35J92;    35J35;    35B34;   

DOI  :  10.1186/s13661-021-01494-w

来源: Springer

【 摘 要 】

We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.

【 授权许可】

CC BY