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

Journal Article


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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.

Authors


  •   Li, Yanyan (external author)
  •   Liu, Jiakun
  •   Nguyen, Luc (external author)

Publication Date


  • 2017

Citation


  • Li, Y., Liu, J. & Nguyen, L. (2017). A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions. Journal of Fixed Point Theory and Applications, 19 (1), 853-876.

Scopus Eid


  • 2-s2.0-85012202187

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=7571&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/6541

Number Of Pages


  • 23

Start Page


  • 853

End Page


  • 876

Volume


  • 19

Issue


  • 1

Place Of Publication


  • Switzerland

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.

Authors


  •   Li, Yanyan (external author)
  •   Liu, Jiakun
  •   Nguyen, Luc (external author)

Publication Date


  • 2017

Citation


  • Li, Y., Liu, J. & Nguyen, L. (2017). A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions. Journal of Fixed Point Theory and Applications, 19 (1), 853-876.

Scopus Eid


  • 2-s2.0-85012202187

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=7571&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/6541

Number Of Pages


  • 23

Start Page


  • 853

End Page


  • 876

Volume


  • 19

Issue


  • 1

Place Of Publication


  • Switzerland