Existence results for classes of infinite semipositone problems
1 Department of Mathematics, Auburn University Montgomery, Montgomery, AL, 36124, USA
2 Department of Mathematics Education, Pusan National University, Busan, 609-735, Korea
3 Department of Mathematics & Statistics, Mississippi State University, Mississippi State, MS, 39762, USA
4 Department of Mathematics & Statistics, University of North Carolina at Greensboro, Greensboro, NC, 27412, USA
Boundary Value Problems 2013, 2013:97 doi:10.1186/1687-2770-2013-97Published: 19 April 2013
We consider the problem
where , , Ω is a smooth bounded domain in , , , , and . Given a, b, γ and α, we establish the existence of a positive solution for small values of c. These results are also extended to corresponding exterior domain problems. Also, a bifurcation result for the case is presented.