Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations

Albo Carlos Cavalheiro
2004 Abstract and Applied Analysis  
We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the formLu(x)=∑i,j=1nDj(aij(x)Diu(x)), withDj=∂/∂xj, whereaij:Ω→ℝare functionssatisfying suitable hypotheses.
doi:10.1155/s1085337504310043 fatcat:oogsgs6slzghpnyoqb3bxjgmgq