Existence of positive stationary solutions and threshold results for a reaction-diffusion system

Journal of Differential Equations

Volumn 130, Issue 2, 1996, Pages 277-291

  Gu, Yonggeng ^a   Wang, Mingxin ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030595267     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0143     Document Type: Article

References (8)

1. 1. Y. G. Gu and M. X. Wang, A semilinear parabolic system arising in the nuclear reactors, Chinese Sci. Bull. 39, No. 19 (1994), 1588-1592.
2. 2. H. Brezis and R. E. L. Tuner, On a class of super linear eliptec problems, Comm. Partial Differential Equations 2, No. 6 (1977), 601-614.
3. 3. Q. X. Ye and Z. Y. Li, "An Introduction to Reaction-Diffusion Equations," Science Press, Beijing, 1990. [In Chinese]
4. 4. D. Gilbarg and N. S. Trudinger, "Elliptic Partial Differential Equation of Second Order," Springer-Verlag, Berlin/New York, 1977.
5. 5. A. Friedman, "Partial Differential Equations of Parabolic Type," Prentice-Hall, Englewood Cliffs, NJ, 1964.
6. 6. Y. G. Gu, Existence and a priori estimate of positive solution of equation Δu = g(x, u, Du), Acta. Math. Sci. 7 (1987), 129-137. [In Chinese]
7. 7. B. Gidas, W. M. Ni, and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68 (1979), 209-243.
8. 8. W. Troy, Symmetry properties in systems of semilinear elliptic equations, J. Differential Equations 42 (1981), 400-413.