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Matematicheskie Zametki, 1998, Volume 63, Issue 1, Pages 95–105
DOI: https://doi.org/10.4213/mzm1251 (Mi mzm1251) 		 
This article is cited in 30 scientific papers (total in 30 papers)

On Grushin's equation

Nguyen Minh Triab

a Institute of Mathematics, National Centre for Natural Science and Technology
b International Centre for Theoretical Physics
Full-text PDF (227 kB) Citations (30)
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DOI: https://doi.org/10.4213/mzm1251
Abstract: The paper deals with nonlinear problems for equations of Grushin type. We prove some nonexistence results via Pokhozhaev's identity. In the rest of the paper we prove some results on smoothness near the boundary of eigenfunctions by using an explicit formula for fundamental solutions and the Kelvin transform for the operator.
Received: 27.06.1996
English version:
Mathematical Notes, 1998, Volume 63, Issue 1, Pages 84–93
DOI: https://doi.org/10.1007/BF02316146
Bibliographic databases:
UDC: 517
Language: Russian
Citation: Nguyen Minh Tri, “On Grushin's equation”, Mat. Zametki, 63:1 (1998), 95–105; Math. Notes, 63:1 (1998), 84–93
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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