Nonlinear Inclusions and Hemivariational Inequalities

By Stanislaw Migórski, Anna Ochal, Mircea-Traian Sofonea. 2013

615 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/63a0c6323d1b568d8960b9f3978ff3d5704d2218

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems (2016, background): “In this section, we recall some important notions and useful results on nonlinear analysis, optimization theory and nonsmooth analysis, which can be found in [1, 4, 10, 16, 26].”
Analysis of a general dynamic history-dependent variational–hemivariational inequality (2017, background): “Details on such a frictional contact condition is found in [6] and some references therein.”
Existence of solutions for double phase obstacle problems with multivalued convection term (2020, neutral): “Combining the convergence properties above along with the upper semicontinuity of (s, ζ) → f(x, s, ζ) and Proposition 3.12 in Migórski-Ochal-Sofonea [23] we obtain ξ(x) ∈ f(x, u(x),∇u(x)) for a.a. x ∈ Ω.”
On the optimal control of variational–hemivariational inequalities (2019, background): “Variational and hemivariational inequalities are widely used in the study of many nonlinear boundary value problems and have a large number of applications in Contact Mechanics and Engineering see, for instance, [4, 17, 21, 22, 26].”
Partial differential hemivariational inequalities (2018, background): “Finally, we summarize some basic facts related to the extension of subdifferential calculus to locally Lipschitz functions (see [4, 24]).”
Advances in Variational and Hemivariational Inequalities (2015, methodology): “In 2011, Wen ([35]) modified the projection methods to a generalized system of nonconvex variational inequalities with different nonlinear operators.”