On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 47, Issue 1, 1996, Pages 89-96

  Cao, Dao Min ^a   Zhou, Huan Song ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030549726     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00917575     Document Type: Article

References (6)

1. 2u. Manuscripta Math. 54, 373-379 (1986).
2. H. Brézis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36, 437-477 (1983).
3. J. G. Eagle, Monotone methods for semilinear elliptic equation in unbounded domains, J. Math. Anal. Appl. 137, 122-131 (1989).
4. D. Gilbarg and N. S. Trudinger. Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin 1985.
5. G. Tarantello, On nonhomogeneous elliptic equations involving critical Sobolev exponent, Ann. I.H.P. Analyse nonlinéaire 9, 281-304 (1992).
6. X. P. Zhu, and H. S. Zhou, Existence of multiple positive solutions of inhomogeneous semilinear elliptic problems in unbounded domains. Proc. Royal Soc. Edinburgh 115A, 301-318 (1990).