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

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 re...

Full description

Bibliographic Details
Main Authors: Nguyen, L, Li, Y, Liu, J
Format: Journal article
Published: Springer Verlag 2017
_version_ 1797085191124025344
author Nguyen, L
Li, Y
Liu, J
author_facet Nguyen, L
Li, Y
Liu, J
author_sort Nguyen, L
collection OXFORD
description 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 re ector problems.
first_indexed 2024-03-07T02:05:29Z
format Journal article
id oxford-uuid:9edc7783-7cf1-42e7-8387-c8047d8f17ba
institution University of Oxford
last_indexed 2024-03-07T02:05:29Z
publishDate 2017
publisher Springer Verlag
record_format dspace
spelling oxford-uuid:9edc7783-7cf1-42e7-8387-c8047d8f17ba2022-03-27T00:53:09ZA degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9edc7783-7cf1-42e7-8387-c8047d8f17baSymplectic Elements at OxfordSpringer Verlag2017Nguyen, LLi, YLiu, JIn 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 re ector problems.
spellingShingle Nguyen, L
Li, Y
Liu, J
A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
title A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
title_full A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
title_fullStr A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
title_full_unstemmed A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
title_short A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
title_sort degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions
work_keys_str_mv AT nguyenl adegreetheoryforsecondordernonlinearellipticoperatorswithnonlinearobliqueboundaryconditions
AT liy adegreetheoryforsecondordernonlinearellipticoperatorswithnonlinearobliqueboundaryconditions
AT liuj adegreetheoryforsecondordernonlinearellipticoperatorswithnonlinearobliqueboundaryconditions
AT nguyenl degreetheoryforsecondordernonlinearellipticoperatorswithnonlinearobliqueboundaryconditions
AT liy degreetheoryforsecondordernonlinearellipticoperatorswithnonlinearobliqueboundaryconditions
AT liuj degreetheoryforsecondordernonlinearellipticoperatorswithnonlinearobliqueboundaryconditions