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On a hemivariational inequality with non-monotone operator.

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Title: On a hemivariational inequality with non-monotone operator.
Authors: Galewski, Marek1 (AUTHOR) marek.galewski@p.lodz.pl, Motreanu, Dumitru2 (AUTHOR)
Source: Optimization. Oct2025, Vol. 74 Issue 14, p3687-3701. 15p.
Subject Terms: *VARIATIONAL inequalities (Mathematics), *LAPLACIAN operator, *OPERATOR functions, *RITZ method, *VARIATIONAL approach (Mathematics), *MONOTONE operators, *DYNAMICAL systems
Abstract: We investigate the existence of generalized variational solutions to abstract hemivariational inequality driven by a coercive and locally Lipschitz operator with no further monotonicity conditions imposed on it. A finite dimensional Ritz type approximation scheme is derived. Applications to competitive systems driven by the generalized $ \left (p,q\right) $ (p , q) - Laplacian with convection are given. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:We investigate the existence of generalized variational solutions to abstract hemivariational inequality driven by a coercive and locally Lipschitz operator with no further monotonicity conditions imposed on it. A finite dimensional Ritz type approximation scheme is derived. Applications to competitive systems driven by the generalized $ \left (p,q\right) $ (p , q) - Laplacian with convection are given. [ABSTRACT FROM AUTHOR]
ISSN:02331934
DOI:10.1080/02331934.2024.2385651