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On the regularity of solutions to a nonvariational elliptic equation. (English) Zbl 1127.35327

Summary: We make a detailed study of the degree of regularity of all solutions of a nonvariational elliptic partial differential equation. Such equations have often turned out to be a source of counterexamples which are critical to the theory of PDE’s.

MSC:

35J25 Boundary value problems for second-order elliptic equations
35J65 Nonlinear boundary value problems for linear elliptic equations
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