Data di Pubblicazione:
2016
Citazione:
Existence of stable H-surfaces in cones and their representation as radial graphs / P. Caldiroli, A. Iacopetti. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 55:6(2016 Oct), pp. 131.1-131.21. [10.1007/s00526-016-1074-8]
Abstract:
In this paper we study the Plateau problem for disk-type surfaces contained in conic regions of R3and with prescribed mean curvature H. Assuming a suitable growth condition on H, we prove existence of a least energy H-surface X spanning an arbitrary Jordan curve Γ taken in the cone. Then we address the problem of describing such surface X as radial graph when the Jordan curve Γ admits a radial representation. Assuming a suitable monotonicity condition on the mapping λ↦ λH( λp) and some strong convexity-type condition on the radial projection of the Jordan curve Γ , we show that the H-surface X can be represented as a radial graph.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
35J66; 53A10; 57R40
Elenco autori:
P. Caldiroli, A. Iacopetti
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