A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition

Advances in Nonlinear Analysis

Huang Chen¹ 

[1] College of Mathematics and Informatics, FJKLMAA, Fujian Normal University, Fuzhou, 350117, PR China;

关键词: quasi-linear elliptic equations;    non-smooth clark’s theorem;    essential values;    35j20;    35j62;    35b45;   

DOI  :  10.1515/anona-2020-0197

来源: DOAJ

【 摘 要 】

We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations. Our results improve the abstract results about a semi-linear elliptic equation in Kajikiya [10] and Li-Liu [11].

【 授权许可】

Unknown