Article Contents
Article Contents

# Generalized eigenvalue problem for totally discontinuous operators

• We introduce the notion of →p -multivoque Leray-Lions operator

-div→p(δφ i(x,δu/δxi))=Au

on a Banach-Sobolev function space V→p and we study the generalized eigenvalue problem Au=λδj(u). Here δφ i (resp. δj) denotes the subdifferential in the sense of convex analysis or more generally in the sense of H. Clarke.

Mathematics Subject Classification: Primary: 35P30, 47J10, 35R70; Secondary: 46N10, N9N99, 46B50.

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