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The Dirichlet Problem

1991
This chapter is devoted to studying boundary value problems for second-order elliptic equations. The variational (also known as Hilbert space) approach to the Dirichlet problem is emphasized. Maximum principles are discussed in §5.10 and §5.11, which are independent of the preceding sections and are essential reading along with §5.1, §5.2, and §5.3 ...
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The Dirichlet problem for degenerate curvature equations

Journal of Functional Analysis, 2022
Zhizhang Wang
exaly  

On Dirichlet's Problem

American Journal of Mathematics, 1937
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Is There More Than One Dirichlet--Neumann Algorithm for the Biharmonic Problem?

SIAM Journal of Scientific Computing, 2021
Martin Gander
exaly  

A Dirichlet problem with singular and supercritical nonlinearities

Nonlinear Analysis: Theory, Methods & Applications, 2012
Lucio Boccardo
exaly  

The dirichlet problem for a complex Monge-Amp�re equation

Inventiones Mathematicae, 1976
Eric Bedford
exaly  

Multiple solutions for the Dirichlet second-order boundary value problem of nonsingular type

Computers and Mathematics With Applications, 1999
D O'Regan, R P Agarwal
exaly  

A Dirichlet problem for polyharmonic functions

Annali Di Matematica Pura Ed Applicata, 2007
Jinyuan Du, Heinrich Begehr
exaly  

A Dirichlet problem involving critical exponents

Nonlinear Analysis: Theory, Methods & Applications, 1995
Lucio Boccardo, Ireneo Peral Alonso
exaly  

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