Solvability of nonlinear Dirichlet problem for a class ofdegenerate elliptic equations

摘要

We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partialdifferential operators of the formLu(x)=∑i,j=1nDj(aij(x)Diu(x)), withDj=∂/∂xj, whereaij:Ω→ℝare functionssatisfying suitable hypotheses.