Acta Mathematica Vietnamica
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CRITICAL SOBOLEV EXPONENT FOR DEGENERATE ELLIPTIC OPERATORS
NGUYEN MINH TRIpp. 83-94
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.