Existence of anti-periodic solutions for hemivariational inequalities

doi:10.1007/s11464-018-0699-7

Front. Math. China

2018, Vol. 13

Issue (3) : 607-618 https://doi.org/10.1007/s11464-018-0699-7

RESEARCH ARTICLE

Existence of anti-periodic solutions for hemivariational inequalities

Xiaoyou LIU(

)

School of Mathematics and Physics, University of South China, Hengyang 421001, China

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Abstract

J. Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68: 747–767; 2009, 71: 3203–3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we point out that the methods used there are not suitable for the proof of the existence of anti-periodic solutions for hemivariational inequalities and we shall give a straightforward approach to handle these problems. The main tools in our study are the maximal monotone property of the derivative operator with antiperiodic conditions and the surjectivity result for L-pseudomonotone operators.

Keywords Hemivariational inequality anti-periodic solutions maximal monotone operator

Corresponding Author(s): Xiaoyou LIU

Issue Date: 11 June 2018

Cite this article:

Xiaoyou LIU. Existence of anti-periodic solutions for hemivariational inequalities[J]. Front. Math. China, 2018, 13(3): 607-618.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-018-0699-7
https://academic.hep.com.cn/fmc/EN/Y2018/V13/I3/607

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