On solvability of variational inequalities with discontinuous semimonotone operators

• Date: 1993
• Main Authors: Pavlenko, V. N., Павленко, В. Н.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5829
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using the method of monotone operators, a theorem on the existence of the solution with a special property is obtained for an elliptic variational inequality with discontinuous semimonotone operator; this theorem is then used to prove the existence of a semicorrect solution of a variational inequ...