Nonlinear Analysis: Theory, Methods & Applications
Convex analysis and variational problems
Convex analysis and variational problems
Semicoercive Variational-hemivariational Inequalities with Unilateral Growth Conditions
Journal of Global Optimization
Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type
Nonlinear Analysis: Theory, Methods & Applications - 1st Level Done by Prameela
Browder-Tikhonov regularization for a class of evolution second order hemivariational inequalities
Journal of Global Optimization
Strongly nonlinear multivalued elliptic equations on a bounded domain
Journal of Global Optimization
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We develop an existence theory for hemivariational inequalities in vector-valued function spaces which involve pseudomonotone operators. The obtained abstract result is used to study quasilinear elliptic systems whose lower order coupling vector field depends discontinuously upon the solution vector. We provide conditions that allow the identification of regions of existence of solutions for such systems, so called trapping regions.