Existence of three nontrivial solutions for semilinear elliptic equations on R<sup><i>N</i></sup>

doi:10.1007/s11464-016-0538-7

Front. Math. China

2016, Vol. 11

Issue (3) : 723-735 https://doi.org/10.1007/s11464-016-0538-7

RESEARCH ARTICLE

Existence of three nontrivial solutions for semilinear elliptic equations on R^N

Ruichang PEI^1,^*(

),Jihui ZHANG²

1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
2. Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, China

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Abstract

We establish the existence theorem of three nontrivial solutions for a class of semilinear elliptic equation on ?^N by using variational theorems of mixed type due to Marino and Saccon and linking theorem.

Keywords Schr?dinger equation ?-condition linking superlinear

Corresponding Author(s): Ruichang PEI

Issue Date: 17 May 2016

Cite this article:

Ruichang PEI,Jihui ZHANG. Existence of three nontrivial solutions for semilinear elliptic equations on R^N[J]. Front. Math. China, 2016, 11(3): 723-735.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0538-7
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I3/723

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