Ground states of semilinear elliptic equations: A geometric approach

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

Volumn 17, Issue 5, 2000, Pages 551-581

  Bamón, Rodrigo ^a   Flores, Isabel ^a   Del Pino, Manuel ^a  

^a UNIVERSITY OF CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347705515     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(00)00126-8     Document Type: Article

References (11)

1. Clemons C.B., Jones C.K.R.T., A geometric proof of the Kwong-McLeod uniqueness result, SIAM J. Math. Anal. 24 (1993) 436-443.
2. Fowler R., Further studies of Emden's and similar differential equations, Quart. J. Math. 2 (1931) 259-288.
3. Guckenheimer J., Holmes P., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
4. N, Adv. Math. Studies 7A (1981) 369-402.
5. Gidas B., Spruck J., Global and local behavior of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math. 34 (1981) 525-598.
6. Gidas B., Caffarelli L., Spruck J., Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (3) (1989) 271-297.
7. Hirsch M., Pugh C., Schub M., Invariant Manifolds, Lecture Notes in Math., Vol. 583, Springer-Verlag, New York, 1977.
8. Johnson R., Pan X., Yi Y., The Melnikov method and elliptic equations with critical exponent, Indiana Univ. Math. J. 43 (1994) 1045-1077.
9. Johnson R., Pan X., Yi Y., Positive solutions of super-critical elliptic equations and asymptotics, Comm. Partial Differential Eqnuations 18 (1993) 977-1019.
10. Lin C.-S., Ni W.-M., A counterexample to the nodal line conjecture and a related semilinear equation, Proc. Amer. Math. 102 (2) (1988) 271-277.
11. Smoller J., Shock Waves and Reaction Diffusion Equations, 2nd edn., Springer-Verlag, New York, 1994.