Geodesic
A nonexistence result of positive stable solutions to a weighted elliptic equation
Filomat, Tome 37 (2023) no. 17, p. 5691

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DOI

We investigate the following weighted elliptic equation −∆u + b(x) · ∇u = (1 + |x| 2) α 2 u p in R N, where α ≥ 0, p > 1, N ≥ 3 and the advection term b(x) is a smooth vector field satisfying certain decay condition. We establish a Liouville-type theorem for possible stable solutions of the equation above.
DOI : 10.2298/FIL2317691M
Classification : 35B53, 35J60, 35B35
Keywords: Liouville type theorems, Advection terms, Stable solutions, Elliptic equations 
Nam Phong Mai; Thi Hien Anh Vu. A nonexistence result of positive stable solutions to a weighted elliptic equation. Filomat, Tome 37 (2023) no. 17, p. 5691 . doi: 10.2298/FIL2317691M
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     title = {A nonexistence result of positive stable solutions to a weighted elliptic equation},
     journal = {Filomat},
     pages = {5691 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317691M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317691M/}
}
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