engleski

On a regularity of biharmonic approximations to a nonlinear degenerate elliptic PDE

Under appropriate assumption on the coefficients, we prove that a sequence of biharmonic regularization to a nonlinear degenerate elliptic equation with possibly rough coefficients preserves certain regularity as the approximation parameter tends to zero. In order to obtain the result, we introduce a generalization of the Chebyshev inequality. We also present numerical example.

Chebyshev inequality ; nonlinear degenerate elliptic equations

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