Electron. J. Diff. Equ., Vol. 2015 (2015), No. 130, pp. 1-9.

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

Sigifredo Herron, Emer Lopera

Abstract:
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.

Submitted January 12, 2015. Published May 7, 2015.
Math Subject Classifications: 35J92, 35J60, 35J62.
Key Words: Semipositone; quasilinear weighted elliptic equation; positive radial solution; non-existence result; Pohozaev identity.

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Sigifredo Herrón
Universidad Nacional de Colombia
Sede Medellín, Apartado Aéreo 3840
Medellín, Colombia
email: sherron@unal.edu.co
Emer Lopera
Universidad Nacional de Colombia
Sede Medellín, Apartado Aéreo 3840
Medellín, Colombia
email: edlopera@unal.edu.co

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