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arXiv · 1509.02331

A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions

Yanyan Li·Jiakun Liu·Luc Nguyen
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Abstract

In this paper we introduce an integer-valued degree for second order fully nonlinear elliptic operators with nonlinear oblique boundary conditions. We also give some applications to the existence of solutions of certain nonlinear elliptic equations arising from a Yamabe problem with boundary and reflector problems.

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Yanyan Li, Jiakun Liu, Luc Nguyen. 2015-09-08. A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions. https://arxiv.org/abs/1509.02331

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