Electron. J. Diff. Equ., Vol. 2013 (2013), No. 155, pp. 1-6.

### Infinite semipositone problems with indefinite weight and asymptotically linear growth forcing-terms Ghasem A. Afrouzi, Saleh Shakeri

Abstract:
In this work, we study the existence of positive solutions to the singular problem where is positive parameter, is a bounded domain with smooth boundary, , and is a continuous function which is asymptotically p-linear at . The weight function is continuous satisfies , . We prove the existence of a positive solution for a certain range of using the method of sub-supersolutions.

Submitted September 17, 2012. Published July 8, 2013.
Math Subject Classifications: 35J55, 35J25.
Key Words: Infinite semipositone problem; indefinite weight; forcing term; asymptotically linear growth; sub-supersolution method.

Show me the PDF file (193 KB), TEX file, and other files for this article. Ghasem Alizadeh Afrouzi Department of Mathematics, Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: afrouzi@umz.ac.ir Saleh Shakeri Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: s.shakeri@umz.ac.ir
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