Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 3: 587 - 595

DOI: https://doi.org/10.1007/s11464-012-0211-8

RESEARCH ARTICLE

Existence of solutions for elliptic equations without superquadraticity condition

  • Yimin ZHANG , 1 ,
  • Yaotian SHEN 2
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  • 1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 2. Department of Mathematics, South China University of Technology, Guangzhou 510641, China

Received date: 30 Mar 2010

Accepted date: 22 Mar 2012

Published date: 01 Jun 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

By weakening or dropping the superquadraticity condition (SQC), the existence of positive solutions for a class of elliptic equations is established. In particular, we deal with the asymptotical linearities as well as the superlinear nonlinearities.

Key words： Mountain pass; superquadraticity condition (SQC); Palais-Smale type condition; weakly superquadraticity condition (WSQC)

Cite this article

Yimin ZHANG , Yaotian SHEN . Existence of solutions for elliptic equations without superquadraticity condition[J]. Frontiers of Mathematics in China, 2012 , 7(3) : 587 -595 . DOI: 10.1007/s11464-012-0211-8

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