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Ni, Wei-Ming

Some minimax principles and their applications in nonlinear elliptic equations. (English) Zbl 0462.58016

J. Anal. Math. 37, 248-275 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 1 Review
Cited in 15 Documents

MSC:

58E30 Variational principles in infinite-dimensional spaces
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
35J60 Nonlinear elliptic equations

Keywords:

nonlinear elliptic equations; variational method; minimax principles
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References:

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[3] V. Benci and P. Rabinowitz,Critical point theorems for indefinite functional, Technical Summary Report # 1927, MRC, University of Wisconsin, 1979. · Zbl 0465.49006
[4] Borisovich, Ju. G.; Sapronov, Ju. I., On some topological invariants of nonlinear Fredholm mappings, Soviet Math. Dokl., 12, 5-9 (1971) · Zbl 0223.58003
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[9] S. Langs,Analysis II Addison-Wesley, 1968. · Zbl 0159.34303
[10] W.-M. Ni,Some minimax principles with applications in nonlinear elliptic boundary value problems and global vortex flow, Ph.D. Thesis, New York University, 1979.
[11] Ni, W.-M., On the existence of global vortex rings, J. Analyse Math., 37, 208-247 (1980) · Zbl 0457.76020 · doi:10.1007/BF02797686
[12] L. Nirenberg,Topics in Nonlinear Functional Analysis, CIMS Lecture Notes, 1975.
[13] Palais, R., Ljusternik-Schnirelman theory on Banach manifolds, Topology, 5, 115-132 (1966) · Zbl 0143.35203 · doi:10.1016/0040-9383(66)90013-9
[14] Rabinowitz, P., Free vibrations for a semilinear wave equation, Comm. Pure Appl. Math., 31, 31-68 (1978) · Zbl 0341.35051 · doi:10.1002/cpa.3160310203
[15] Rabinowitz, P., Periodic solutions for Hamiltonian system, Comm. Pure Appl. Math., 31, 175-184 (1978) · Zbl 0358.70014 · doi:10.1002/cpa.3160310203
[16] P.Rabinowitz,Variational methods and nonlinear eigenvalue problems, inEigenvalues of Nonlinear Problems, C.I.M.E., 1974, pp. 141-195.
[17] P. Rabinowitz,Some minimax principles and applications to semilinear elliptic partial differential equations, preprint.
[18] J. T. Schwartz,Nonlinear Functional Analysis, Gordon and Breach, 1969. · Zbl 0203.14501
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