Bulletin of the American Mathematical Society

Author(s): Haïm Brezis
Journal: Bull. Amer. Math. Soc. 8 (1983), 409-426.
MSC (1980): Primary 35K60
MathSciNet review: 693957
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1.: H. Amann and G. Mancini, Some applications of monotone operator theory to resonance problems (to appear). MR 548954
2.: H. Amann and E. Zehnder, Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations, Ann. Scuola Norm. Sup. Pisa 8 ( 1980), 539-603. MR 600524
3.: H. Amann and E. Zehnder, Multiple periodic solutions for a class of nonlinear autonomous wave equations, Houston J. Math. (to appear). MR 638944
4.: A. Ambrosetti, Recent advances in the study of the existence of periodic orbits of Hamiltonian systems (to appear). MR 716152
5.: A. Ambrosetti and G. Mancini, Solutions of minimal period for a class of convex Hamiltonian systems, Math. Ann. 255 (1981), 405-421. MR 615860
6.: A. Ambrosetti and G. Mancini, On a theorem of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories, J. Differential Equations (to appear). MR 647065
7.: A. Ambrosetti and P. Rabinowitz, Dual variational methods in a critical point theory and applications, J. Funct. Anal. 14 (1973), 345-381. MR 370183
8.: A. Bahri, Topological results on a certain class of functionals and applications, J. Funct. Anal. (to appear). MR 619960
9.: A. Bahri and H. Berestytcki, A perturbation method in critical point theory and applications, Trans. Amer. Math. Soc. 267 (1981), 1-32. MR 621969
10.: A. Bahri and H. Berestytcki, Forced vibrations of superquadratic Hamiltonian systems, Acta Math, (to appear); see also C. R. Acad. Sci. Paris Sér. A 292 (1981), 315-318. MR 741053
11.: A. Bahri and H. Berestytcki, Existence of periodic solutions for some second order systems of nonlinear ordinary differential equations, Comm. Pure Appl. Math, (to appear). MR 920606
12.: A. Bahri and H. Brezis, Periodic solutions of a nonlinear wave equation, Proc. Roy. Soc. Edinburgh 85 (1980), 313-320. MR 574025
13.: V. Benci and P. Rabinowitz, Critical point theorems for indefinite functionals, Invent. Math. 52 (1979), 241-273. MR 537061
14.: H. Berestycki and J. M. Lasry, Multiple periodic solutions of Hamilton's equations on a given energy surface (to appear).
15.: H. Brezis and J. M. Coron, Periodic solutions of nonlinear wave equations and Hamiltonian systems, Amer. J. Math. 103 (1981), 559-570. MR 618324
16.: H. Brezis, J. M. Coron and L. Nirenberg, Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz, Comm. Pure Appl. Math. 33 (1980), 667-689. MR 586417
17.: H. Brezis and L. Nirenberg, Forced vibrations for a nonlinear wave equation, Comm. Pure Appl. Math. 31 (1978), 1-30. MR 470377
18.: H. Brezis and L. Nirenberg, Characterizations of the ranges of some nonlinear operators and applications to boundary value problems, Ann. Scuola Norm. Sup. Pisa 5 (1978), 225-326. MR 513090
19.: F. Browder, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862-874. MR 156116
20.: D. Campbell, Personal communication and papers to appear.
21.: L. Cesari, Existence in the large of periodic solutions of hyperbolic partial differential equations, Arch. Rational Mech. Anal. 20 (1965), 170-190. MR 183976
22.: K. C. Chang, Solutions of asymptotically linear operator equations via Morse theory (to appear). MR 622618
23.: K. C. Chang, S. P. Wu and Shujie Li, Multiple periodic solutions for an asymptotically linear wave equation (to appear). MR 667791
24.: F. Clarke, Periodic solution to Hamiltonian inclusions, J. Differential Equations (to appear). MR 614215
25.: F. Clarke, A classical variational principle for periodic Hamiltonian trajectories, Proc. Amer. Math. Soc. 76 (1979), 186-188. MR 534415
26.: F. Clarke, The dual action, optimal control and generalized gradients (to appear). MR 851222
27.: F. Clarke and I. Ekeland, Hamiltonian trajectories having prescribed minimal period, Comm. Pure Appl. Math. 33 (1980), 103-116. MR 562546
28.: F. Clarke and I. Ekeland, Nonlinear oscillations and boundary-value problems for Hamiltonian systems, Arch. Rational Mech. Anal. (to appear). MR 653545
29.: J. M. Coron, Résolution de l'équatin Au + Bu = f où A est linéaire et B dérive d'un potentiel convexe, Ann. Fac. Sci. Toulouse 1 (1979), 215-234 and C. R. Acad. Sci. Paris Sér. A 288 (1979), 805-808. MR 568147
30.: J. M. Coron, Solutions périodiques non triviales d'une équation des ondes, Comm. Partial Differential Equations 6 (1981), 829-848. MR 623647
31.: J. M. Coron, Période minimale pour une corde vibrante de longueur infinie, C. R. Acad. Sci. Paris Sér. A 294 (1982), 127-129. MR 651803
32.: J. M. Coron, Periodic solutions of a nonlinear wave equation without assumption of monotonicity (to appear). MR 690201
33.: L. De Simon and G. Torelli, Soluzione periodiche di equazioni a derivate parziali di tipo iperbolico nonlineari, Rend. Sem. Mat. Univ. Padova 40 (1968), 380-401. MR 228836
34.: I. Ekeland, Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz, J. Differential Equations 34 (1979), 523-534. MR 555325
35.: I. Ekeland, A perturbation theory near convex Hamiltonian systems (to appear). MR 723579
36.: I. Ekeland and J. M. Lasry, On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface, Ann. of Math. (2) 112 (1980), 283-319. MR 592293
37.: I. Ekeland and J. M. Lasry, Duality in nonconvex variational problem (to appear). MR 716155
38.: J. Hale, Periodic solutions of a class of hyperbolic equations containing a small parameter, Arch. Rational Mech. Anal. 23 (1967), 380-398. MR 206503
39.: H. Hofer, On the range of a wave operator with nonmonotone nonlinearity (to appear). MR 675766
40.: H. Hofer, A new proof for a result of Ekeland and Lasry concerning the number of periodic Hamiltonian trajectories on a prescribed energy surface (to appear). MR 683483
41.: G. Lamb, Elements of soliton theory, Wiley, New York, 1980. MR 591458
42.: E. Landesman and A. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. MR 267269
43.: J. Leray and J. L. Lions, Quelques résultat de Visik sur les problèmes élliptiques nonlinéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France 93 (1965), 97-107. MR 194733
44.: H. Lovicarova, Periodic solutions of a weakly nonlinear wave equation in one dimension, Czech. Math. J. 19 (1969), 324-342. MR 247249
45.: G. Mancini, Periodic solutions of some semilinear autonomous wave equations, Boll. Un. Mat. Ital. 5 (1978), 649-673. MR 518496
46.: J. Mawhin, Solutions périodiques d'équations aux dérivées partielles hyperboliques nonlinéaires, Mélanges Th. Vogel, Presse Univ. Bruxelles, Bruxelles, 1978, pp. 301-319. MR 825555
47.: J. Mawhin, Compacité, monotonie et convexité dans l'étude de problèmes aux limites semi-linéaires, Lecture Notes Univ. de Sherbrooke, 1981.
48.: J. Moser, Periodic orbits near an equilibrium and a theorem by Alan Weinstein, Comm. Pure Appl. Math. 29 (1976), 727-747. MR 426052
49.: L. Nirenberg, Variational and topological methods in nonlinear problems, Bull. Amer. Math. Soc. (N.S.) 4 (1981), 267-302. MR 609039
50.: H. Poincaré, Les méthodes nouvelles de la mécanique céleste, Gauthier-Villars, Paris, 1982.
51.: P. Rabinowitz, Periodic solutions of nonlinear hyperbolic partial differential equations, Comm. Pure Appl. Math. 20 (1967), 145-205. MR 206507
52.: P. Rabinowitz, Time periodic solutions of nonlinear wave equations, Manuscripta Math. 5 (1971), 165-194. MR 326179
53.: P. Rabinowitz, Free vibrations for a semilinear wave equation, Comm. Pure Appl. Math. 31 (1978), 31-68. MR 470378
54.: P. Rabinowitz, Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 31 (1978), 157-184. MR 467823
55.: P. Rabinowitz, Periodic solutions of a Hamiltonian system on a prescribed energy surface, J. Differential Equations 33 (1979), 336-352. MR 543703
56.: P. Rabinowitz, Subharmonic solutions of a forced wave equation, Amer. J. Math, (to appear). MR 648473
57.: P. Rabinowitz, On nontrivial solutions of a semilinear wave equation, Ann. Scuola Norm. Sup. Pisa (to appear). MR 656003
58.: P. Rabinowitz, Periodic solutions of Hamiltonian systems: a survey, SIAM J. Math. Anal. (to appear). MR 653462
59.: P. Rabinowitz, Multiple critical points of perturbed symmetric functionals, Trans. Amer. Math. Soc. 272 (1982), 753-769. MR 662065
60.: M. Struwe, Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems, Manuscripta Math. 32 (1980), 335-364. MR 595426
61.: J. Toland, A duality principle for nonconvex optimisation and the calculus of variations, Arch. Rational Mech. Anal. 71 (1979), 41-61. MR 522706
62.: J. Toland, Duality in nonconvex optimization, J. Math. Anal. Appl. (to appear). MR 515903
63.: O. Vejvoda, Periodic solutions of a linear and weakly nonlinear wave equation in one dimension. I, Czech. Math. J. 14 (1964), 341-382. MR 174872
64.: O. Vejvoda et al., Partial differential equations: time-periodic solutions, Noordhoff, Groningen, 1981.
65.: A. Weinstein, Normal modes for a nonlinear Hamiltonian system, Invent. Math. 20 (1973) 47-57. MR 328222
66.: A. Weinstein, Periodic orbits for convex Hamiltonian systems, Ann. of Math. (2) 108 (1978), 507-518. MR 512430
67.: A. Weinstein, On the hypotheses of Rabinowitz' periodic orbit theorems, J. Differential Equations 33 (1979), 353-358. MR 543704
68.: M. Willem, Density of the range of potential operators, Proc. Amer. Math. Soc. 83 (1981), 341-344. MR 624926

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