On the elliptic equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0

Fang Hua Lin

doi:10.1090/S0002-9939-1985-0801327-3

On the elliptic equation D_i[a_ij(x)Dju]-k(x)u + K(x)U^p = 0

Fang Hua Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation D_i[a_ij(x)Dju]-k(x)u + K(x)U^p = 0 in Rⁿ, where p > 1, is studied. A limiting case when K(x) is negative and has quadratic decay at infinity is also treated.

Original language	English (US)
Pages (from-to)	219-225
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	95
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1985-0801327-3
State	Published - Oct 1985

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1985-0801327-3

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title = "On the elliptic equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0",

abstract = "The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0 in Rn, where p > 1, is studied. A limiting case when K(x) is negative and has quadratic decay at infinity is also treated.",

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AB - The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0 in Rn, where p > 1, is studied. A limiting case when K(x) is negative and has quadratic decay at infinity is also treated.

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On the elliptic equation D_i[a_ij(x)Dju]-k(x)u + K(x)U^p = 0

Abstract

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