On existence of a unique generalized solution to systems of elliptic PDEs at resonance
Tom 110 / 2014
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.