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Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol

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  • Mauricio Bravo Vera

Abstract

The aim of this work is to show existence and regularity properties of equations of the form on , in which is a measurable function that satisfies some conditions of ellipticity and stands for the Laplace operator on . Here, we define the class of functions to which belongs and the Hilbert space in which we will find the solution to this equation. We also give the formal definition of explaining how to understand this operator.

Suggested Citation

  • Mauricio Bravo Vera, 2014. "Nonlinear Equations of Infinite Order Defined by an Elliptic Symbol," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jijmms:656959
    DOI: 10.1155/2014/656959
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