Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations

Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations

Year:    2008

Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 3 : pp. 253–262

Abstract

In this note, we consider positive entire large solutions for semilinear elliptic equations Δu = ρ(x)f(u) in R^N with N ≥ 3. More precisely, we are interested in the link between the existence of entire large solution with the behavior of solution for -Δu = ρ(x) in R^N. Especially for the radial case, we try to give a survey of all possible situations under Keller-Osserman type conditions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JPDE-5281

Journal of Partial Differential Equations, Vol. 21 (2008), Iss. 3 : pp. 253–262

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Entire large solution