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Oblique derivative boundary value problems for nonlinear elliptic equations of second order with measurable coefficients in high dimensional domains - MaRDI portal

Oblique derivative boundary value problems for nonlinear elliptic equations of second order with measurable coefficients in high dimensional domains (Q1765152)

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scientific article; zbMATH DE number 2137203
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Oblique derivative boundary value problems for nonlinear elliptic equations of second order with measurable coefficients in high dimensional domains
scientific article; zbMATH DE number 2137203

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    Oblique derivative boundary value problems for nonlinear elliptic equations of second order with measurable coefficients in high dimensional domains (English)
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    23 February 2005
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    The authors consider the nonlinear elliptic equation of the second-order \[ F(x,u,D_x u,D^2_x u)= 0\quad\text{in }\Omega,\tag{1} \] where \(\Omega\) is a bounded domain in \(\mathbb R^N\) with \(\partial\Omega\in C^2\). They give an estimate for the solutions of the oblique derivative problem for (1) and obtain the existence of solutions.
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    Oblique derivative problems
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    nonlinear elliptic equations
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    measurable coefficients
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    high dimensional domains
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