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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
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