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On existence of a unique generalized solution to systems of elliptic PDEs at resonance

Tom 110 / 2014

Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu Annales Polonici Mathematici 110 (2014), 25-31 MSC: Primary 35J47; Secondary 35J61. DOI: 10.4064/ap110-1-3

Streszczenie

The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.

Autorzy

  • Tiantian QiaoCollege of Science
    China University of Petroleum
    266580 Qingdao, P.R. China
    and
    Department of Mathematics
    Harbin Institute of Technology
    150001 Harbin, P.R. China
    e-mail
  • Weiguo LiCollege of Science
    China University of Petroleum
    266580 Qingdao, P.R. China
  • Kai LiuDepartment of Mathematics
    Nanjing University
    210093 Nanjing, P.R. China
  • Boying WuDepartment of Mathematics
    Harbin Institute of Technology
    150001 Harbin, P.R. China

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