Non-existence of positive radial solution for semipositone weighted p-Laplacian problems

Non-existence of positive radial solution for semipositone weighted p-Laplacian problems

We prove the non-existence of positive radial solution to a semipositone weighted $p$-Laplacian problem whenever the weight is sufficiently large. Our main tools are a Pohozaev type identity and a comparison principle.

Bibliographic Details
Main Authors: Sigifredo Herron, Emer Lopera
Format: Article
Language:English
Published: Texas State University 2015-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Semipositone
quasilinear weighted elliptic equation
positive radial solution
non-existence result
Pohozaev identity
Online Access:http://ejde.math.txstate.edu/Volumes/2015/130/abstr.html
Description
Summary:We prove the non-existence of positive radial solution to a semipositone weighted $p$-Laplacian problem whenever the weight is sufficiently large. Our main tools are a Pohozaev type identity and a comparison principle.
ISSN:1072-6691

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