Geodesic
On existence of a unique generalized solution to systems of elliptic PDEs at resonance
Tiantian Qiao1 ; Weiguo Li2 ; Kai Liu3 ; Boying Wu4
1College of Science China University of Petroleum 266580 Qingdao, P.R. China and Department of Mathematics Harbin Institute of Technology 150001 Harbin, P.R. China
2College of Science China University of Petroleum 266580 Qingdao, P.R. China
3Department of Mathematics Nanjing University 210093 Nanjing, P.R. China
4Department of Mathematics Harbin Institute of Technology 150001 Harbin, P.R. China
Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 25-31
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap110-1-3
Keywords: dirichlet boundary value problem systems elliptic partial differential equations resonance studied existence unique generalized solution proved using min max principle global inversion theorem

Tiantian Qiao  1   ; Weiguo Li  2   ; Kai Liu  3   ; Boying Wu  4

1 College of Science China University of Petroleum 266580 Qingdao, P.R. China and Department of Mathematics Harbin Institute of Technology 150001 Harbin, P.R. China
2 College of Science China University of Petroleum 266580 Qingdao, P.R. China
3 Department of Mathematics Nanjing University 210093 Nanjing, P.R. China
4 Department of Mathematics Harbin Institute of Technology 150001 Harbin, P.R. China 
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     title = {On existence of a unique generalized solution to systems of elliptic {PDEs} at resonance},
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Tiantian Qiao; Weiguo Li; Kai Liu; Boying Wu. On existence of a unique generalized solution to systems of elliptic PDEs at resonance. Annales Polonici Mathematici, Tome 110 (2014) no. 1, pp. 25-31. doi: 10.4064/ap110-1-3

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