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- W2028916338 abstract "The Dirichlet problem for quasilinear elliptic systems of equations with nondiagonal principal matrix and additional terms with strong nonlinearity in the gradient is considered. An a priori condition on the behavior of solutions in a neighborhood of a fixed point is stated, which allows us to estimate locally the Hölder norm of a solution in terms of its energy norm. Owing to the monotonicity inequality proved for one class of such systems, the a priori assumption on the behavior of solutions is reduced to an optimal one while estimating the Hölder norm of the solution. Bibliography: 27 titles." @default.
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- W2028916338 date "2007-04-01" @default.
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- W2028916338 title "The monotonicity condition and a priori estimates of the Hölder norm for a class of nondiagonal elliptic systems with quadratic nonlinearity" @default.
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- W2028916338 doi "https://doi.org/10.1007/s10958-007-0084-7" @default.
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