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Existence results for nonlocal and nonsmooth hemivariational inequalities


We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration. In particular, no continuity assumptions are imposed on the nonlocal term. The proofs rely on a combined use of recent results due to the authors on hemivariational inequalities and operator equations in partially ordered sets.



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Correspondence to S. Carl.

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Carl, S., Heikkilä, S. Existence results for nonlocal and nonsmooth hemivariational inequalities. J Inequal Appl 2006, 79532 (2006).

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  • Growth Condition
  • Recent Result
  • Existence Result
  • Operator Equation
  • Continuity Assumption