What is it about?
In this article, we discuss the solvability of some class of fully nonlinear equations, and equations with p-Laplacian in more general conditions by using a new approach given by Soltanov in Nonlinear Anal. 72:164–175, 2010 for studying the nonlinear continuous operator. Moreover, we reduce certain general results for the continuous operators acting on Banach spaces and investigate their image. Here we also consider the existence of a fixed-point of the continuous operators under various conditions.
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Why is it important?
In this article, we discuss the solvability of some class of fully nonlinear equations, and equations with p-Laplacian in more general conditions by using a new approach for studying the nonlinear continuous operator. Moreover, we reduce certain general results for the continuous operators acting on Banach spaces and investigate their image. Here we also consider the existence of a fixed point of the continuous operators under various conditions.
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This page is a summary of: Nonlinear Operators, Fixed-Point Theorems, Nonlinear Equations, January 2015, Springer Science + Business Media,
DOI: 10.1007/978-3-319-12577-0_41.
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