@article{AIHPC_1996__13_1_95_0, author = {Alama, Stanley and Del Pino, Manuel}, title = {Solutions of elliptic equations with indefinite nonlinearities via {Morse} theory and linking}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {95--115}, publisher = {Gauthier-Villars}, volume = {13}, number = {1}, year = {1996}, mrnumber = {1373473}, zbl = {0851.35037}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1996__13_1_95_0/} }
TY - JOUR AU - Alama, Stanley AU - Del Pino, Manuel TI - Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking JO - Annales de l'I.H.P. Analyse non linéaire PY - 1996 SP - 95 EP - 115 VL - 13 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_1996__13_1_95_0/ LA - en ID - AIHPC_1996__13_1_95_0 ER -
%0 Journal Article %A Alama, Stanley %A Del Pino, Manuel %T Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking %J Annales de l'I.H.P. Analyse non linéaire %D 1996 %P 95-115 %V 13 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPC_1996__13_1_95_0/ %G en %F AIHPC_1996__13_1_95_0
Alama, Stanley; Del Pino, Manuel. Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking. Annales de l'I.H.P. Analyse non linéaire, Tome 13 (1996) no. 1, pp. 95-115. http://www.numdam.org/item/AIHPC_1996__13_1_95_0/
[1] On semilinear elliptic equations with indefinite nonlinearities, Calc. of Var. and P. D. E., Vol. 1, 1993, pp. 439-475. | MR | Zbl
and ,[2] On the solvability of a semilinear elliptic equation via an associated eigenvalue problem, to appear inMath. Z. | MR | Zbl
and ,[3] Elliptic problems with nonlinearities indefinite in sign, preprint, 1994. | MR
and ,[4] Critical point theorems for indefinite functionals, Invent. Math., Vol. 52, 1979, pp. 241-273. | MR | Zbl
and ,[5] Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires, C. R. Acad. Sci. Paris, t. 317, Série I, 1993, pp. 945-950. | MR | Zbl
, and ,[6] Variational methods for indefinite superlinear homogeneous elliptic problems, preprint, May 1994. | MR
, and ,[7] Superlinear indefinite elliptic problems and nonlinear Liouville theorems, preprint, 1994. | MR | Zbl
, and ,[8] H1 versus C1 minimizers", C. R. Acad. Sci. Paris, t. 317, Série I, 1993, pp. 465-572. | MR | Zbl
and , "[9] Infinite Dimensional Morse Theory and Multiple Solution Problems", Birkhäuser: Boston, 1993. | MR | Zbl
, "[10] H1 versus C1 isolated critical points", C. R. Acad. Sci. Paris, t. 319, Série I, 1994, pp. 441-446. | MR | Zbl
, "[11] Multiple solutions for a semilinear elliptic equation, preprint, 1992. | MR
and ,[12] Conformal metrics with prescribed scalar curvature, Invent. Math., Vol. 86, 1986, pp. 243-254. | MR | Zbl
and ,[13] A Note on the Topological Degree at a Critical Point of Mountainpass-type, Proc. Am. Math. Soc., Vol. 90, 1984, pp. 309-315. | MR | Zbl
,[14] Scalar curvature and the conformal deformation of Riemannian structure, J. Diff. Geom., Vol. 10, 1975, pp. 113-134. | MR | Zbl
and ,[15] Critical Point Theory and Hamiltonian Systems," Springer: New York, 1989. | MR | Zbl
and , "[16] On the positive solutions of semilinear elliptic equations Δu + λu + hup = 0 on compact manifolds, Part II, Indiana Univ. Math. J., Vol. 40, 1992, pp. 1083-1140. | MR | Zbl
,[17] Minimax Methods in Critical Point Theory with Applications to Differential Equations," CBMS-NSF, Vol. 65, American Math. Soc.: Providence, 1986. | MR | Zbl
, "[18] Variational Methods", Springer-Verlag: Berlin, 1990. | MR | Zbl
, "[19] Ph.D. thesis, New York Univ., 1994.
,[20] On a superlinear elliptic equation, Ann. Inst. H. Poincaré- Analyse Non lin., Vol. 8, 1991, pp. 43-57. | Numdam | MR | Zbl
,