no. 1
Finite Morse index solutions of exponential problems
Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008) no. 1, pp. 173-179 
@article{AIHPC_2008__25_1_173_0,
     author = {Dancer, E. N.},
     title = {Finite {Morse} index solutions of exponential problems},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {173--179},
     year = {2008},
     publisher = {Elsevier},
     volume = {25},
     number = {1},
     doi = {10.1016/j.anihpc.2006.12.001},
     mrnumber = {2383085},
     zbl = {1136.35030},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpc.2006.12.001/}
}
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Dancer, E. N. Finite Morse index solutions of exponential problems. Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008) no. 1, pp. 173-179. doi: 10.1016/j.anihpc.2006.12.001

[1] Ambrosio L., Cabré X., Entire solutions of semilinear elliptic equations in R 3 and a conjecture of De Giorgi, J. Amer. Math. Soc. 13 (4) (2000) 725-739, (electronic). | Zbl | MR

[2] Bahri A., Lions P.-L., Solutions of superlinear elliptic equations and their Morse indices, Comm. Pure Appl. Math. 45 (9) (1992) 1205-1215. | Zbl | MR

[3] Bidaut-Véron M.-F., Véron L., Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations, Invent. Math. 106 (3) (1991) 489-539. | Zbl | MR

[4] Buffoni B., Dancer E.N., Toland J.F., The sub-harmonic bifurcation of Stokes waves, Arch. Ration. Mech. Anal. 152 (3) (2000) 241-271. | Zbl | MR

[5] Chandrasekhar S., An Introduction to the Study of Stellar Structure, University of Chicago Press, Chicago, 1939. | Zbl | JFM

[6] Dancer E.N., Stable and not too unstable solutions on R n for small diffusion, in: Brunner , Zhao , Zou (Eds.), Nonlinear Dynamics and Evolution Equations, Fields Institute Communications, Amer. Math. Soc., 2006, pp. 67-94. | MR

[7] Dancer E.N., Stable and finite Morse index solutions on R n or on bounded domains with small diffusion, Trans. Amer. Math. Soc. 357 (3) (2005) 1225-1243. | Zbl | MR

[8] E.N. Dancer, Finite Morse index solutions of supercritical problems, J. Reine Angew. Math., submitted for publication. | Zbl | MR

[9] Dancer E.N., Stable solutions on R n and the primary branch of some non-self-adjoint convex problems, Differential Integral Equations 17 (9-10) (2004) 961-970. | Zbl | MR

[10] Dancer E.N., Infinitely many turning points for some supercritical problems, Ann. Mat. Pura Appl. (4) 178 (2000) 225-233. | Zbl | MR

[11] Dancer E.N., Real analyticity and non-degeneracy, Math. Ann. 325 (2) (2003) 369-392. | Zbl | MR

[12] Hayman W., Kennedy P., Subharmonic Functions, Academic Press, London, 1979. | Zbl

[13] Joseph D.D., Lundgren T.S., Quasilinear Dirichlet problems driven by positive sources, Arch. Ration. Mech. Anal. 49 (1972/73) 241-269. | Zbl | MR

[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. | Zbl | MR | Numdam

[15] Saut J.-C., Temam R., Generic properties of nonlinear boundary value problems, Comm. Partial Differential Equations 4 (3) (1979) 293-319. | Zbl | MR

[16] Suzuki T., Semilinear Elliptic Equations, GAKUTO International Series. Mathematical Sciences and Applications, vol. 3, Gakkōtosho Co. Ltd., Tokyo, 1994. | Zbl | MR

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