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Acta Mathematica Vietnamica

CRITICAL SOBOLEV EXPONENT FOR DEGENERATE ELLIPTIC OPERATORS

icon-email NGUYEN MINH TRI

Abstract

Semilinear equations for degenerate elliptic operators are considered. A simple proof of imbedding theorems for appropriate Sobolev spaces are given. Via generalized Pokhozaev identity we prove some nonexistence theorems for the equations.