Existence of Entire Radially Symmetric Solutions for a Quasilinear System with d-Equations ABSTRACT | FULL TEXT

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1. Bandle, C. and Giarrusso, E. Boundary blowup for semilinear elliptic equations with non- linear gradient terms, Advances in Differential Equations 1 (1), 133–150, 1996.
2. Covei, D. P. Large and entire large solution for a quasilinear problem, Nonlinear Analysis: Theory, Methods & Applications 70 (4), 1738–1745, 2009.
3. Covei, D. P. Radial and nonradial solutions for a semilinear elliptic system of Schr¨odinger type, Funkcialaj Ekvacioj-Serio Internacia, accepted manuscript. Li, H., Zhang, P. and Zhang, Z. A remark on the existence of entire positive solutions for a class of semilinear elliptic systems, Journal of Mathematical Analysis and Applications (2009), doi:10.1016/j.jmaa.2009.10.036. Lair, A. V. and Wood, A. W. Existence of entire large positive solutions of semilinear elliptic systems, Journal of Differential Equations 164, 380–394, 2000.
4. Lair, A. V. A necessary and sufficient condition for the existence of large solutions to sublin- ear elliptic systems, Journal of Mathematical Analysis and Applications 365 (1), 103–108, 2010. [7] Keller, J. B. On solution of ∆u = f (u), Communications on Pure and Applied Mathemat- ics10, 503–510, 1957.
5. Osserman, R. On the inequality ∆u ≥ f (u), Pacific Journal of Mathematics 7, 1641–1647, 1957. [9] Smith, D. N. Existence of large solutions to semilinear elliptic equations with multiple terms, Master’s Thesis, Air Force Inst of Tech Wright-Patterson Afb OH School of Engineering and Management, 41 Pages, Sep 2006.
6. Teramoto, T. Existence and nonexistence of positive radial entire solutions of second order quasilinear elliptic systems, Hiroshima Math. J. 30, 437–461, 2000.
7. Toumi, F. Existence of blowup solutions for nonlinear problems with a gradient term, Inter- national Journal of Mathematics and Mathematical Sciences Volume 2006 (2006), Article ID 80605, 11 pages. Yang, Z. Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems, Journal of Mathematical Analysis and Applications 288, 768–783, 2003.
8. Ye, D. and Zhou, F. Existence and nonexistence of entire large solutions for some semilinear elliptic equations, Journal of Partial Differential Equations Year 3, 253–262, 2008.