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

• Autorzy: Tiantian Qiao , Weiguo Li , Kai Liu , Boying Wu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35J61: Semilinear elliptic equations
• 35J47: Second-order elliptic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 1
• Strony: 25-31

Daty

wydano

2014

Twórcy

autor

Tiantian Qiao

• College of Science, China University of Petroleum, 266580 Qingdao, P.R. China
• Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, P.R. China

autor

Weiguo Li

• College of Science, China University of Petroleum, 266580 Qingdao, P.R. China

autor

Kai Liu

• Department of Mathematics, Nanjing University, 210093 Nanjing, P.R. China

autor

Boying Wu

• Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, P.R. China

Identyfikatory

DOI

10.4064/ap110-1-3