%0 Journal Article
%T Existence of a positive solution for a p-Laplacian semipositone problem
%A Maya Chhetri
%A R. Shivaji
%J Boundary Value Problems
%D 2005
%I Springer
%R 10.1155/bvp.2005.323
%X We consider the boundary value problem  ¡é   ¡¯   ¡±pu=    f(u) in      satisfying u=0 on  ¡é        , where u=0 on  ¡é        ,     >0 is a parameter,      is a bounded domain in  ¡é    n with C2 boundary  ¡é        , and    ¡±pu:=div(| ¡é    u|p ¡é   ¡¯2 ¡é    u) for p>1. Here, f:[0,r] ¡é   ¡¯ ¡é     is a C1 nondecreasing function for some r>0 satisfying f(0)<0 (semipositone). We establish a range of      for which the above problem has a positive solution when f satisfies certain additional conditions. We employ the method of subsuper solutions to obtain the result.
%U http://dx.doi.org/10.1155/BVP.2005.323