This paper is concerned with the Dirichlet problem in an unbounded domain \Omega of R^n, n>=2, for linear second order elliptic partial differential equations with leading coefficients a_ij of class L^infinity(\Omega) \cap W^1,s_loc(\bar\Omega)+C(\bar\Omega), where s>2 if n=2 and s=n if n>2. Some existence and uniqueness theorems are proved.
Further contributions to the study of second order elliptic equations in unbounded open sets
TRANSIRICO, Maria;TROISI, Mario
1990-01-01
Abstract
This paper is concerned with the Dirichlet problem in an unbounded domain \Omega of R^n, n>=2, for linear second order elliptic partial differential equations with leading coefficients a_ij of class L^infinity(\Omega) \cap W^1,s_loc(\bar\Omega)+C(\bar\Omega), where s>2 if n=2 and s=n if n>2. Some existence and uniqueness theorems are proved.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.