Abstract
This paper presents an abstract theory for the existence, localization and multiplicity of fixed points in a cone. The key assumption is the property of the nonlinear operator of satisfying an inequality of Harnack type. In particular, the theory offers a completely new approach to the problem of positive solutions of quasilinear elliptic equations with p-Laplace operator.
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Precup, R. Abstract weak Harnack inequality, multiple fixed points and p-Laplace equations. J. Fixed Point Theory Appl. 12, 193–206 (2012). https://doi.org/10.1007/s11784-012-0091-2
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DOI: https://doi.org/10.1007/s11784-012-0091-2