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Strong Solvability of Boundary Value Contact Problems

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Abstract

Strong solvability in Sobolev spaces is proved for a unilateral contact boundary value problem for a class of nonlinear discontinuous operators. The operator is assumed to be of Caratheodory type and to satisfy a suitable ellipticity condition. Only measurability with respect to the independent variable x is required. The main tool of the proof is an estimate for the second derivatives of the functions which satisfy the unilateral boundary conditions, in which it has been possible to prove that the constant is equal to 1.

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Authors and Affiliations

  1. D.I.M.E.T., Faculty of Engineering, University of Reggio Calabria, Via Graziella, Loc. Feo di Vito, Reggio Calabria, Italy

    Sofia Giuffrè

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  1. Sofia Giuffrè
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Correspondence to Sofia Giuffrè.

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Giuffrè, S. Strong Solvability of Boundary Value Contact Problems. Appl Math Optim 51, 361–372 (2005). https://doi.org/10.1007/s00245-004-0817-7

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  • DOI: https://doi.org/10.1007/s00245-004-0817-7

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