Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications

Mean Value Theorem and Pohozaev Type Identities of Generalized Greiner Operator and Their Applications

Year:    2001

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 3 : pp. 220–234

Abstract

In this paper, a fundamental solution at the origin and mean value theorem of generalized Greiner operator are given. Then the Hardy type inequality and some Pohozaev type identities are proved. As their applications, some nonexistence results of semilinear nonelliptic equation and unique continuation are discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JPDE-5481

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 3 : pp. 220–234

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Fundamental solution