Work

On the viscosity solutions to some nonlinear elliptic equations

Year: 2015

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1503.04879

Authors: Bhattacharya, Tilak, Marazzi, Leonardo

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2276273157

Cites: 7

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Related to: 20