Sigifredo Herron, Emer Lopera
Abstract:
We prove the non-existence of positive radial solution to
a semipositone weighted
-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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