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Boundary hemivariational inequality problems with doubly nonlinear operators. (English) Zbl 06194413
Summary: In this paper, we investigate a class of nonlinear boundary hemivariational inequality problems. Under suitable hypotheses, the existence of solutions is established via rewriting these problems into a class of evolution inclusions and using the discretization method and the theory of pseudomonotone operators. Moreover, the continuous dependence result of the solutions to the initial data is given.
MSC:
49J40Variational methods including variational inequalities
47H05Monotone operators (with respect to duality) and generalizations
References:
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