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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

abstract and applied analysis

An index formula for the degree of (S)<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$_+$" id="E1"><mml:mo>+</mml:mo></mml:math>-mappings associated with one-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$p$" id="E2"><mml:mi>p</mml:mi></mml:math>-Laplacian

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