Keywords
- Mountain Pass Theorem
- Nonpositive Sectional Curvature
- Gradient Vector Field
- Compact Oriented Surface
- Mountain Pass Lemma
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References
A. Ambrosetti, P.H. Rabinowitz, Dual variational methods in critical point theory and applications, J. Funct Anal. 14 (1973), 349–381.
K.C. Chang, A variant mountain pass lemma, Scientia Sinica 26, no. 12, (1983), 1241–1255.
_____, Variational method and the sub-and super-solutions, ibid, 1256–1265.
_____, An extension of minimax principle. Symp. DD3 (1982) Changchuan Jilin.
_____, Infinite dimensional Morse theory and its applications, Lecture Notes of the 22nd Session of the Seminaire de mathematiques superieures at Montreal in 1983.
K.C. Chang, J. Eells, Harmonic maps and minimal surface coboundaries, Proc. Lefschetz Centenary. Mexico (1984).
_____, Unstable minimal surface coboundaries, Preprint, April 1985 Univ. of Warwick.
D.G. de Figueiredo, On the superlinear Ambrosetti-Prodi problem, MRC Tech. Rcp. #2522, 1983.
D.G. de Figueiredo, S. Solmini, A variational Approach to superlinear elliptic problems, Comm. in PDE, 9 (7), (1984), 699–717.
M. Morse, C.B. Tompkins, The existence of Minimal surfaces of general critical types, Ann. Math. 40 (1939), 443–472.
_____, Unstable minimal surfaces of higher topological structure, Duke Math. J. 8 (1941), 350–375.
P, Pucci, J. Serrin, A mountain pass theorem, to appear.
M. Shiffman, The Plateau problem for minimal surfaces of arbitrary topological structure, Amer. J. Math. 61 (1939), 853–882.
_____, The Plateau problem for non-relative minima, Ann. Math. 40 (1939), 834–854.
_____, Unstable minimal surfaces with several boundaries, Ann. Math. 43 (1942), 197–222.
M. Struwe, On a critica l point theory for minimal surfaces spanning a wire in R n, J. reine ang. Math. 349 (1984), 1–23.
_____, A Morse theory for annulus-type minimal surfaces, Preprint.
A. Szulkin, Minimax princ sples for lower semicontinuous functions and applications to nonlinear boundary value problems, Preprint.
Z.C. Wang, Remarks on the deformation lemma (to appear).
C.Q. Zhung, Master Thesis at Lanzhou Univ. 1985.
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© 1986 Equadiff 6 and Springer-Verlag
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Chang, KC. (1986). On the Mountain Pass Lemma. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076070
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DOI: https://doi.org/10.1007/BFb0076070
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