Nonconvex energy functions. Hemivariational inequalities and substationarity principles

1983 ◽  
Vol 48 (3-4) ◽  
pp. 111-130 ◽  
Author(s):  
P. D. Panagiotopoulos
Keyword(s):  
Hemivariational Inequalities ◽  
Energy Functions ◽  
Nonconvex Energy

scholarly journals A-monotonicity and applications to nonlinear variational inclusion problems

2004 ◽  
Vol 2004 (2) ◽  
pp. 193-195 ◽  
Author(s):  
Ram U. Verma
Keyword(s):  
Existence Of Solutions ◽  
Variational Inclusion ◽  
Hemivariational Inequalities ◽  
Energy Functions ◽  
Inclusion Problems ◽  
Constrained Problems ◽  
Nonconvex Energy

A new notion of the A-monotonicity is introduced, which generalizes the H-monotonicity. Since the A-monotonicity originates from hemivariational inequalities, and hemivariational inequalities are connected with nonconvex energy functions, it turns out to be a useful tool proving the existence of solutions of nonconvex constrained problems as well.

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