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

Year 2011, Volume: 40 Issue: 3, 433 - 439, 01.03.2011

Dragos-patru Covei

Keywords

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References

• 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.
• Covei, D. P. Large and entire large solution for a quasilinear problem, Nonlinear Analysis: Theory, Methods & Applications 70 (4), 1738–1745, 2009.
• 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.
• 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.
• 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.
• Teramoto, T. Existence and nonexistence of positive radial entire solutions of second order quasilinear elliptic systems, Hiroshima Math. J. 30, 437–461, 2000.
• 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.
• 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.