On the problem of Plateau : subharmonic functions / Tibor Radó
Type de document : Livre numériqueCollection : Ergebnisse der mathematik und ihrer grenzgebiete, 2Langue : anglais.Éditeur : Berlin : Springer, cop. 1971ISBN: 9783642983078.ISSN: 1955-1983.Sujet MSC : 31C05, Generalizations of potential theory, Harmonic, subharmonic, superharmonic functions on other spaces31-02, Research exposition (monographs, survey articles) pertaining to potential theoryEn-ligne : Springerlink | MSN
Tables of Contents: Introduction (p. 1); (I) Curves and surfaces (pp. 2–18); (II) Minimal surfaces in the small (pp. 19–30); (III) Minimal surfaces in the large (pp. 31–49); (IV) The non-parametric problem (pp. 49–68); (V) The problem of Plateau in the parametric form (pp. 68–90); (VI) The simultaneous problem in the parametric form. Generalizations (pp. 90–109).
Preface (pp. iii-iv); (I) Definition and preliminary discussion (pp. 1–6); (II) Integral means of subharmonic functions (pp. 7–12); (III) Criteria and constructions for subharmonic functions (pp. 12–22); (IV) Examples of subharmonic functions (pp. 22–31); (V) Harmonic majorants of subharmonic functions (pp. 31–39); (VI) Representation of subharmonic functions in terms of potentials (pp. 40–45); (VII) Analogies between harmonic and subharmonic functions (pp. 46–53); References (pp. 54–56).
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