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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3137734
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