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Regularity of solutions to the polyharmonic equation in general domains
Regularity of solutions polyharmonic equation general domains Analysis of PDEs
2012/6/9
The present paper establishes boundedness of $[m-\frac n2+\frac 12]$ derivatives for the solutions to the polyharmonic equation of order $2m$ in arbitrary bounded open sets of $\RR^n$, $2\leq n\leq 2m...
Principal Eigenvalue and Maximum Principle for some Elliptic Systems defined on General Domains with Refined Dirichlet Boundary Condition
General domains Refined Dirichlet Boundary Condition Refined Maximum Principle Elliptic Systems
2009/6/16
We prove the existence of a principal eigenvalue and we derive a ”Refined Maximum
Principle” for an elliptic system LU = LMU +F defined on an irregular bounded
domain in RN with Refined Dirichlet Bo...