The a priori Estimate for the Gradient

  • Enrico Giusti
Part of the Monographs in Mathematics book series (MMA, volume 80)


In this section we shall be concerned with smooth solutions of the minimal surface equation
$${D_i}\left( {\frac{{{D_i}u}}{{\sqrt {1 + {{\left| {Du} \right|}^2}} }}} \right) = 0$$
in a ball ℬ ⊂ ℝ n .


Harmonic Function Euler Equation Minimal Surface Dirichlet Problem Smooth Solution 
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Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Enrico Giusti

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