A remark on multiple solutions for a nonlinear eigenvalue problem

  • Gen-Qiang Wang

    Guangdong Polytechnic Normal University, Guangzhou, China
  • Sui Sun Cheng

    National Tsing Hua University, Hsinchu, Taiwan

Abstract

Multiple solutions are shown to exist for the system , where , is a positive definite matrix and is ‘superquadratic’ or ‘subquadratic’. We make use of Clark's theorem in critical point theory to obtain our results and provide examples to show that the results are sharp.

Cite this article

Gen-Qiang Wang, Sui Sun Cheng, A remark on multiple solutions for a nonlinear eigenvalue problem. Port. Math. 65 (2008), no. 4, pp. 497–507

DOI 10.4171/PM/1823