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We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First… Click to show full abstract
We consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
Keywords:
local solvability;
solvability;
elliptic equations;
order lder;
lder coefficients
Journal Title: Revista De La Union Matematica Argentina
Year Published: 2020
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Journal Title: Revista De La Union Matematica Argentina
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!