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Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients. (English) Zbl 0823.35067

The author proves existence of a solution to a quasilinear degenerate elliptic variational inequality in a weighted Sobolev space. The coefficients of the quasilinear operator are assumed to satisfy a condition weaker than the usual Carathéodory condition.

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35J70 Degenerate elliptic equations
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