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POHOŽAEV IDENTITIES FROM DOMAIN DEFORMATION

QINGHUA XU

Department of Biomedical Engineering, The 4th Military Medical University, Xi'an, 710032, P. R. China

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YING LU

Department of Mathematics, Jilin University, Changchun 130012, P. R. China

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LIHE WANG

Department of Mathematics, Xi'an Jiaotong University, Xi'an, 710049, P. R. China

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https://doi.org/10.1142/S0129167X10006392Cited by:2 (Source: Crossref)

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.

Keywords:

AMSC: 16R50, 14D15

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