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The Dirichlet Problem

2014
The natural Dirichlet problem in C n is not the classical one for solutions of the Laplace equation but rather for solutions of the Monge–Ampere equation. We present the solution of this Dirichlet problem in a ball.
P. Gauthier
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The Dirichlet Problem

2009
In this chapter, approximation of solutions of Laplace’s equation requires the study of sequences of harmonic functions, making use of the integral representations and averaging properties of harmonic functions. The latter property is used to incorporate a larger class of functions called superharmonic functions that are used to approximate solutions ...
L. L. Helms
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Existence of solutions for p(x) -Laplacian dirichlet problem

Nonlinear Analysis: Theory, Methods & Applications, 2003
Xianling Fan, Qihu Zhang
semanticscholar   +3 more sources

Polyharmonic dirichlet problems

Proceedings of the Steklov Institute of Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Begehr, H., Vu, T. N. H., Zhang, Z.-X.
openaire   +1 more source

The Dirichlet Problem

Journal of Mathematics and Physics, 1924
N. Wiener
openaire   +2 more sources

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