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Averaging of nonlinear elliptic operators with nonuniformly oscillating coefficients. (Russian) Zbl 0825.35010
The procedure of averaging is justified for nonlinear operators whose coefficients contain both the rapid and slow variables. For simplicity, only second order operators are discussed.

MSC:
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35J60 Nonlinear elliptic equations
35J15 Second-order elliptic equations
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