1.

Record Nr.

UNINA9910478901903321

Autore

Tromba Anthony

Titolo

On the number of simply connected minimal surfaces spanning a curve / / A.J. Tromba

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1977]

©1977

ISBN

1-4704-0155-X

Descrizione fisica

1 online resource (131 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 194

Disciplina

516/.362

Soggetti

Minimal surfaces

Critical point theory (Mathematical analysis)

Boundary value problems

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Bibliography: pages 118-121.

Nota di contenuto

""Table of Contents""; ""0. Introduction""; ""I. A review of the Euler characteristic of a Palais-Smale vector field""; ""II. Analytical preliminaries � the Sobelev spaces""; ""III. The global formulation of the problem of Plateau""; ""IV. The existence of a vector field associated to the Dirichlet functional E[sub(α)]""; ""V. A proof that the vector field X[sup(α)], associated to E[sub(α)], is Palais-Smale""; ""VI. The weak Riemannian structure on η[sub(α)]""; ""VII. The equivariance of X[sup(α)] under the action of the conformal group""