Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224120130101On positive solutions for a class of infinite semipositone problems49542510.22075/ijnaa.2013.25ENM. B. GhaemiDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranM. ChoubinDepartment of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, IranJournal Article20120528We discuss the existence of a positive solution to the innite semipositone problem<br />u = au bu<br /> f(u) <br />c<br />u ; x 2 <br />; u = 0; x 2 @<br />;<br />where is the Laplacian operator, <br /> > 1, 2 (0; 1), a; b and c are positive constants, <br /> is a bounded<br />domain in RN with smooth boundary @<br />, and f : [0;1) ! R is a continuous function such that<br />f(u) ! 1 as u ! 1. Also we assume that there exist A > 0 and > 1 such that f(s) As, for<br />all s 0. . We obtain our result via the method of sub- and supersolutions.https://ijnaa.semnan.ac.ir/article_25_7870e0429784ac5d0e18ac58d13aff5f.pdf