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Strongly nonlinear problems with Hamiltonian having natural growth. (English) Zbl 0714.35035
The aim of this paper is to prove an existence result for an equation of the type \(Au+g(x,u,Du)=f\), \(u\in H^ 1_ 0\), where A is a nonlinear operator and g is a Caratheodory function having natural growth.
Reviewer: T.del Vecchio

MSC:
35J70 Degenerate elliptic equations
35G30 Boundary value problems for nonlinear higher-order PDEs
47H05 Monotone operators and generalizations
Keywords:
existence
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