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On the Viscosity Solutions to Some Nonlinear Elliptic Equations by Bhattacharya, Tilak; Marazzi, Leonardo is a scholarly article available to read on EtoBox.

What is On the Viscosity Solutions to Some Nonlinear Elliptic Equations about?

We consider viscosity solutions of a class of nonlinear degenerate elliptic equations on bounded domains. We prove comparison principles and a priori supremum bounds for the solutions. We also address the eigenvalue problem and, in many instances, show the existence of a first eigenvalue and a first positive eigenfunction.

Author

Bhattacharya, Tilak; Marazzi, Leonardo

Published

2015

Language

EN