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Publications Influence

Dual variational methods in critical point theory and applications

- A. Ambrosetti, P. H. Rabinowitz
- Mathematics
- 1 December 1973

This paper contains some general existence theorems for critical points of a continuously differentiable functional I on a real Banach space. The strongest results are for the case in which I is… Expand

3,427 486- PDF

Critical point theorems for indefinite functionals

- V. Benci, P. H. Rabinowitz
- Mathematics
- 1 October 1979

A variational principle of a minimax nature is developed and used to prove the existence of critical points for certain variational problems which are indefinite. The proofs are carried out directly… Expand

405 41

Homoclinic orbits for second order Hamiltonian systems possessing superquadratic potentials

- V. C. Zelati, P. H. Rabinowitz
- Mathematics
- 13 January 1991

Received by the editors November 27, 1990. 1991 Mathematics Subject Classification. Primary 34C99, 58E99, 58F99. The first author was supported by Ministero P. I. gruppo 40% "Calcolo delle… Expand

394 31- PDF

Periodic and heteroclinic orbits for a periodic hamiltonian system

- P. H. Rabinowitz
- Mathematics
- 1 September 1989

Abstract Consider the Hamiltonian system: (★) q ¨ + V ′ ( q ) = 0 where q = (q1,…, qn) and V is periodic in qi, 1 ≦ i ≦ n. It is known that (★) then possesses at least n + 1 equilibrium solutions.… Expand

145 15- PDF

Some Critical Point Theorems and Applications to Semilinear Elliptic Partial Differential Equations.

- P. H. Rabinowitz
- Mathematics
- 1978

Abstract : Variational methods are used to obtain some new existence theorems for critical points of a real valued function on a Banach space. Applications are made to semilinear elliptic boundary… Expand

79 12- PDF

Mixed states for an Allen‐Cahn type equation

- P. H. Rabinowitz, E. Stredulinsky
- Mathematics
- 1 August 2003

This paper continues the recent study of an Allen-Cahn model PDE [1] by eliminating a strong spatial reversibility condition and by weakening certain nondegeneracy conditions on families of basic… Expand

63 9

A minimax method for a class of Hamiltonian systems with singular potentials

- A. Bahri, P. H. Rabinowitz
- Mathematics
- 1 February 1989

Abstract This paper presents a minimax method which gives existence and multiplicity results for time periodic solutions of a class of Hamiltonian systems when a singular potential is present. The… Expand

95 7- PDF

A note on topological degree for potential operators

- P. H. Rabinowitz
- Mathematics
- 1 August 1975

Let E be a real Hilbert space and T: E -+ E be a compact potential operator with T(u) = t’(u) where t: E -+ IF!. Let g(u) = $ /I u II2 t(u). Our main goal in this note is to show that the index of an… Expand

60 5- PDF

Periodic solutions of Hamiltonian systems of 3-body type

- A. Bahri, P. H. Rabinowitz
- Mathematics
- 1 November 1991

Abstract We study the question of the existence of periodic solutions of Hamiltonian systems of the form: (✶) q ¨ + V q ( t , q ) = 0 where V = ∑ 1 ≦ i ≠ j 3 V i j ( t , q i − q j ) with V(t, ξ)… Expand

115 4- PDF

A rapid convergence method for a singular perturbation problem

- P. H. Rabinowitz
- Mathematics
- 1984

Abstract The existence of spatially periodic solutions for a singular perturbation of elliptic type is established. A rapid convergence method is used to obtain the result.

20 4- PDF