Existence of anti-periodic solutions for hemivariational inequalities

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

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