On a superlinear elliptic equation

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1. [1] A. Ambrosetti and P.H. Rabinowitz, Dual Variational Methods in Critical Point Theory and Applications, J. Funct. Anal., Vol. 14, 1973, pp. 349-381. Zbl0273.49063MR370183
2. [2] A. Bahri and H. Berestycki, A Perturbation Method in Critical Point Theory and Applications, Trans. Am. Math. Soc., Vol. 267, 1981, pp. 1-32. Zbl0476.35030MR621969
3. [3] A. Bahri and P.L. Lions, Morse Index of Some Min-Max CriticalPoints. I. Application to Multiplicity Results, preprint. Zbl0645.58013
4. [4] V. Benci, Some Applications of the Generalized Morse-Conley Index, preprint. MR898735
5. [5] K.C. Chang, Morse Theory and its Applications to PDE, Séminaire Mathématiques supérieures, Univ. de Montreal. 
6. [6] M.J. Greenberg, Lectures on Algebraic Topology, W. A. BENJAMIN, Inc., New York, 1967. Zbl0169.54403MR215295
7. [7] D. Gromoll and W. Meyer, On Differentiable Functions with Isolated CriticalPoints, Topology, Vol. 8, 1969, pp. 361-369. Zbl0212.28903MR246329
8. [8] H. Hofer, A. Noteon the Topological Degree at a Critical Point of Mountainpass-Type, Proc. Am. Math. Soc., Vol. 90, 1984, pp. 309-315. Zbl0545.58015MR727256
9. [9] P. Hess and T. Kato, On Some Linear and Nonlinear Eigenvalue Problems with an Indefinite Weight Function, Comm. P.D.E., Vol. 5 (10), pp. 999-1030. Zbl0477.35075MR588690
10. [10] H. Jacobowitz, Periodic Solution of x+g(t,x)=0 via the Poincaré-Birkhoff Theorem, J. Diff. Eq., Vol. XX, 1976, pp. 37-52. Zbl0285.34028MR393673
11. [11] S. Li and Z. Q. Wang, An Abstract Critical Point Theorem and Applications, Acta Math. Sinica, Vol. 29, 1986, pp. 585-589. Zbl0633.58010MR876331
12. [12] P.H. Rabinowitz, Some Aspects of Nonlinear Eigenvalue Problems, Rocky Mountain Math. J., 1972. Zbl0255.47069MR320850
13. [13] P.H. Rabinowitz, Multiple Critical Points of Perturbed Symmetric Functionals, Trans. Am. Math. Soc., Vol. 272, 1982, pp. 753-769. Zbl0589.35004MR662065
14. [14] M. Struwe, Three Nontrivial Solutions of Anticoercive Boundary Value Problems for the Pseudo-Laplace-Operator, J. Reine Ange. Math., Vol. 325, 1981, pp. 68-74. Zbl0456.35032MR618546
15. [15] K. Tanaka, Morse Indices at Critical Points Related to the Symmetric Mountain Pass Theorem and Applications, Comm. in P.D.E., Vol. 14, 1989, pp. 99-128. Zbl0669.34035MR973271
16. [16] G. Tian, On the Mountain Pass Theorem, Chinese Bull. Sc., Vol. 14, 1983, pp. 833-835. MR763434

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