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Abstract and Applied Analysis 
Volume 2004 (2004), Issue 11, Pages 981-995
doi:10.1155/S1085337504401055

An index formula for the degree of (S)+-mappings associated with one-dimensional p-Laplacian

Jun Kobayashi and Mitsuharu Ôtani

Department of Applied Physics, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

Received 11 August 2003

Abstract

The topological degree for (S)+-mappings concerning a nonlinear eigenvalue problem associated with one-dimensional p-Laplacian is evaluated. The result is applied to a variational inequality, where the multiple existence of solutions is discussed.