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POHOŽAEV IDENTITIES FROM DOMAIN DEFORMATION
Journal article   Peer reviewed

POHOŽAEV IDENTITIES FROM DOMAIN DEFORMATION

QINGHUA XU, YING LU and LIHE WANG
International journal of mathematics, Vol.21(9), pp.1121-1134
09/2010
DOI: 10.1142/S0129167X10006392

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Abstract

This paper presents a unified approach to a class of identities which was first proved by Pohožaev. These identities have generalizations to Schrödinger's equation, the wave equation, the p-Laplace equation and the biharmonic equation. We also show that the systems can be proved under our unified approach.
domain deformation Pohožaev identities monotonicity formula

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