Multiple solutions for a class of semilinear elliptic equations

Proceedings of the American Mathematical Society

Volumn 125, Issue 12, 1997, Pages 3659-3667

  Jin, Zhiren ^a  

^a WICHITA STATE UNIVERSITY   (United States)

Author keywords

Local minimum of a functional; Multiple solutions; Pseudo gradient flow; Semilinear elliptic equations; Sub Super solutions; Variational method

Indexed keywords

EID: 21944442408     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-04199-3     Document Type: Article

References (6)

1. BIBLIOGRAPHY 1. Ambrosetti, A., Azorero, J.G. &: Peral, I., Multiplicity results for some nonlinear elliptic equations, J. Funct. Anal. 137 (19D6), 219-242. MR 97b:35059
2. Ambrosetti, A., Brezis, H. & Cerami, G., Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal. 122 (1994), 519-543. MR 95g:35059
3. Ambrosetti, A. & Rabinowitz, P.H., Dual variational methods in critical point theory and applications, J. Funct. Anal. 14 (1973),' 349-381. MR 51:6412
4. 1 local minimizers, C.R. Acad. Sei. Paris 317 (1993), 465-472. MR94g:49044
5. Ghoussoub, N. & Preiss, D., A general mountain pass principle for locating and classifying critical points, Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), 321-330. MR 91a:58043
6. Gilbarg, D. & Trüdinger, N.S., Elliptic partial differential equations of second order, second edition, Springer-verlag (1983). MR 86c:35035