## Pseudo-monotonicity and degenerate elliptic operators of second order.(English)Zbl 1034.35021

Summary: Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $Au(x)= -\operatorname{div} a(x,u,\nabla u)+ a_0(x,u,\nabla u),$ in particular, when only large monotonicity is satisfied.

### MSC:

 35J25 Boundary value problems for second-order elliptic equations 35J70 Degenerate elliptic equations
Full Text: