Existence of solutions for elliptic equations without superquadraticity condition

doi:10.1007/s11464-012-0211-8

Front Math Chin

2012, Vol. 7

Issue (3) : 587-595 https://doi.org/10.1007/s11464-012-0211-8

RESEARCH ARTICLE

Existence of solutions for elliptic equations without superquadraticity condition

Yimin ZHANG¹(

), Yaotian SHEN²

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

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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.

Keywords Mountain pass superquadraticity condition (SQC) Palais-Smale type condition weakly superquadraticity condition (WSQC)

Corresponding Author(s): ZHANG Yimin,Email:ymin.zhang@mail.scut.edu.cn

Issue Date: 01 June 2012

Cite this article:

Yimin ZHANG,Yaotian SHEN. Existence of solutions for elliptic equations without superquadraticity condition[J]. Front Math Chin, 2012, 7(3): 587-595.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0211-8
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I3/587

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