This article is cited in 32 papers

On Grushin's equation

Nguyen Minh Tri<sup>ab

a</sup> Institute of Mathematics, National Centre for Natural Science and Technology
^b International Centre for Theoretical Physics

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.

UDC: 517

Received: 27.06.1996

DOI: 10.4213/mzm1251

 English version: Mathematical Notes, 1998, 63:1, 84–93

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