The main goal is to study nonlinear Schrodinger type problems for the -Laplacian with nonlinearities satisfying Keller- Osserman conditions. We establish the existence of infinitely many positive entire radial solutions by an application of a fixed point theorem and the Arzela-Ascoli theorem. An important aspect in this article is that the solutions are obtained by successive approximations and hence the proof can be implemented in a computer program.
Submitted March 12, 2012. Published May 2, 2012.
Math Subject Classifications: 35J62, 35J66, 35J92, 58J10, 58J20.
Key Words: Entire solutions; large solutions; quasilinear systems; radial solutions.
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| Dragos-Patru C. Covei |
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Constantin Brancusi University from Tg-Jiu
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