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- W71870894 abstract "Strong solvability in Sobolev spaces is proved for a unilateral boundary value problem for a class of nonlinear discontinuous operators. The operator is assumed to be of Carathéodory 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 unilateral boundary conditions, that allows us to obtain an uniqueness and existence theorem, extending the result in [6], which holds only for n = 2.KeywordsSignorini problemunilateral problemsnonlinear elliptic equations" @default.
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- W71870894 date "2003-01-01" @default.
- W71870894 modified "2023-10-16" @default.
- W71870894 title "Strong Solvability of Boundary Value Problems in Elasticity with Unilateral Constraints" @default.
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- W71870894 doi "https://doi.org/10.1007/978-1-4613-0239-1_11" @default.
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