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We introduce a new construction of topological degree for denselydefined mappings of monotone type. We also study the structure of the classes of mappings involved. Using the basic properties of the degree, we prove some abstract existence results that can be applied to elliptic problems

abstract and applied analysis

On the degree theory for densely defined mappings of class<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$(S_+)_L$"><mml:mrow><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mo>+</mml:mo></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mi>L</mml:mi></mml:msub></mml:mrow></mml:math>

On the degree theory for densely defined mappings of class(S+)L