zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Solutions of minimal period for a class of convex Hamiltonian systems. (English) Zbl 0466.70022

70H05Hamilton’s equations
34C25Periodic solutions of ODE
58E15Applications of variational methods to extremal problems in several variables; Yang-Mills functionals
58E05Abstract critical point theory
Full Text: DOI EuDML
[1] Ambrosetti, A.: Esistenza di infinite soluzioni per problemi non lineari in assenza di paramentro. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat.52, 402-409 (1972) · Zbl 0249.35030
[2] Ambrosetti, A.: On the existence of multiple solutions for a class of nonlinear boundary value problems. Rend. Sem. Mat. Univ. Padova49, 195-204 (1973) · Zbl 0273.35037
[3] Ambrosetti, A.: A perturbation theorem for superlinear boundary value problems. M.R.C. Techn. Rep.41, No. 41 (1974) · Zbl 0303.35036
[4] Ambrosetti, A., Mancini, G.: Remarks on some free boundary problems. To appear on ?Contributions to nonlinear partial differential equations?. Ed. H. Berestycki, H. Brezis, Pittman · Zbl 0477.35084
[5] Ambrosetti, A., Rabinowitz, P.H.: Dual variational methods in critical point theory and applications. J. Functional Analysis14, 349-381 (1973) · Zbl 0273.49063 · doi:10.1016/0022-1236(73)90051-7
[6] Brezis, H., Coron, J.M., Nirenberg, L.: Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz (to appear)
[7] Clark, D.C.: A variant of the Lusternik-Schnirelman theory. Ind. Univ. Math. J.22, 65-74 (1972) · Zbl 0228.58006 · doi:10.1512/iumj.1972.22.22008
[8] Clarke, F., Ekeland, I.: Hamiltonian trajectories having prescribed minimal period. Comm. Fure Appl. Math.33, 103-116 (1980) · Zbl 0428.70029 · doi:10.1002/cpa.3160330202
[9] Clarke, F., Ekeland, I.: Nonlinear oscillations and boundary value problems for Hamiltonian systems (to appear) · Zbl 0514.34032
[10] Coffmann, C.V.: A minimum-maximum principle for a class of nonlinear integral equation. J. Analyse Math.22, 391-419 (1969) · Zbl 0179.15601 · doi:10.1007/BF02786802
[11] Ekeland, I.: Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz. J. Differential Equations34, 523-534 (1979) · Zbl 0446.70019 · doi:10.1016/0022-0396(79)90034-2
[12] Hempel, J.A.: Superlinear variational boundary value problems and nonuniqueness. Thesis, Univ. New England, Aus., 1970
[13] Hempel, J.A.: Multiple solutions for a class of nonlinear boundary value problems. Ind. Univ. Math. J.20, 983-996 (1971) · Zbl 0225.35045 · doi:10.1512/iumj.1971.20.20094
[14] Nehari, Z.: Characteristic values associated with a class of nonlinear second-order differential equations. Acta Math.105, 141-175 (1961) · Zbl 0099.29104 · doi:10.1007/BF02559588
[15] Rabinowitz, P.H.: Variational methods for nonlinear eigenvalue problems, in Eigenvalues of nonlinear problems (C.I.M.E.). Ed. Cremonese · Zbl 0278.35040
[16] Rabinowitz, P.H.: Periodic solutions of Hamiltonian systems. Comm. Pure Appl. Math.11, 137-184 (1978) · Zbl 0358.70014
[17] Rabinowitz, P.H.: On subharmonic solutions of Hamiltonian systems (to appear) · Zbl 0425.34024
[18] Rockafellar, R.: Convex analysis. Princeton: Princeton University Press 1970 · Zbl 0193.18401
[19] Amann, H., Zehnder, E.: Periodic solutionsof asymptotically linear Hamiltonian systems. Manuscripta Math.32, 149-189 (1980) · Zbl 0443.70019 · doi:10.1007/BF01298187
[20] Brezis, H., Coron, J.M.: Periodic solutions of nonlinear wave equations and Hamiltonian systems (to appear)
[21] Clarke, F.: Periodic solutions to Hamiltonian inclusions. To appear in J. Differential Equations. · Zbl 0461.34030