On Grushin's equation
Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 95-105

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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.
@article{MZM_1998_63_1_a9,
     author = {Nguyen Minh Tri},
     title = {On {Grushin's} equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {95--105},
     publisher = {mathdoc},
     volume = {63},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a9/}
}
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Nguyen Minh Tri. On Grushin's equation. Matematičeskie zametki, Tome 63 (1998) no. 1, pp. 95-105. http://geodesic.mathdoc.fr/item/MZM_1998_63_1_a9/