Positive evanescent solutions of nonlinear elliptic equations

Smail Djebali; Toufik Moussaoui; Octavian G. Mustafa

doi:10.1016/j.jmaa.2006.12.004

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Positive evanescent solutions of nonlinear elliptic equations

Journal article

Peer reviewed

Positive evanescent solutions of nonlinear elliptic equations

Smail Djebali, Toufik Moussaoui and Octavian G. Mustafa

Journal of mathematical analysis and applications, Vol.333(2), pp.863-870

15/09/2007

DOI: https://doi.org/10.1016/j.jmaa.2006.12.004

Abstract

Exterior domain

Nonlinear elliptic equation

Positive solution

In this note we investigate the existence of positive solutions vanishing at +∞ to the elliptic equation Δ u + f ( x , u ) + g ( | x | ) x ⋅ ∇ u = 0 , | x | > A > 0 , in R n ( n ⩾ 3 ) under mild restrictions on the functions f, g.

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Details

Title: Positive evanescent solutions of nonlinear elliptic equations
Creators - without role: Smail Djebali - École Normale Supérieure de Kouba
Toufik Moussaoui - École Normale Supérieure de Kouba
Octavian G. Mustafa - University of Craiova
Publication Details: Journal of mathematical analysis and applications, Vol.333(2), pp.863-870
Publisher: Elsevier Inc
Identifiers: 9916576808331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article