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

2015/09/08 by Li, Yanyan, Liu, Jiakun, Nguyen, Luc · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.02331

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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