Finite Morse index solutions of exponential problems

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

Volumn 25, Issue 1, 2008, Pages 173-179

  Dancer, E N ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Finite Morse index solutions; Infinitely many bifurcations

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; NONLINEAR ANALYSIS;

FINITE MORSE INDEX SOLUTIONS; INFINITELY MANY BIFURCATIONS;

PROBLEM SOLVING;

EID: 37549032534     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2006.12.001     Document Type: Article

References (16)

1. 3 and a conjecture of De Giorgi. J. Amer. Math. Soc. 13 4 (2000) 725-739 (electronic)
2. Bahri A., and Lions P.-L. Solutions of superlinear elliptic equations and their Morse indices. Comm. Pure Appl. Math. 45 9 (1992) 1205-1215
3. Bidaut-Véron M.-F., and Véron L. Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations. Invent. Math. 106 3 (1991) 489-539
4. Buffoni B., Dancer E.N., and Toland J.F. The sub-harmonic bifurcation of Stokes waves. Arch. Ration. Mech. Anal. 152 3 (2000) 241-271
5. Chandrasekhar S. An Introduction to the Study of Stellar Structure (1939), University of Chicago Press, Chicago
6. n for small diffusion. In: Brunner, Zhao, and Zou (Eds). Nonlinear Dynamics and Evolution Equations. Fields Institute Communications (2006), Amer. Math. Soc. 67-94
7. n or on bounded domains with small diffusion. Trans. Amer. Math. Soc. 357 3 (2005) 1225-1243
8. E.N. Dancer, Finite Morse index solutions of supercritical problems, J. Reine Angew. Math., submitted for publication
9. n and the primary branch of some non-self-adjoint convex problems. Differential Integral Equations 17 9-10 (2004) 961-970
10. Dancer E.N. Infinitely many turning points for some supercritical problems. Ann. Mat. Pura Appl. (4) 178 (2000) 225-233
11. Dancer E.N. Real analyticity and non-degeneracy. Math. Ann. 325 2 (2003) 369-392
12. Hayman W., and Kennedy P. Subharmonic Functions (1979), Academic Press, London
13. Joseph D.D., and Lundgren T.S. Quasilinear Dirichlet problems driven by positive sources. Arch. Ration. Mech. Anal. 49 (1972/73) 241-269
14. Moschini L. New Liouville theorems for linear second order degenerate elliptic equations in divergence form. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 1 (2005) 11-23
15. Saut J.-C., and Temam R. Generic properties of nonlinear boundary value problems. Comm. Partial Differential Equations 4 3 (1979) 293-319
16. Suzuki T. Semilinear Elliptic Equations. GAKUTO International Series. Mathematical Sciences and Applications vol. 3 (1994), Gakkōtosho Co. Ltd., Tokyo