Dissertação
Superfícies de curvatura média constante com bordo plano em R3
Fecha
2019-05-20Autor
Abé, Stephanie
Institución
Resumen
In this work, we will show that for each H such that AH2 < 2 , where A represents the
area of
and = p5−1
2 , the Dirichlet problem
(PD)H8>
<>
:
div ru p1+|ru|2 = −2H em
u = 0 em @
,
is solvable, for
R2 a bounded convex domain. For this, we use the Continuity Method
and study elliptic PDEs.
Keywords: cmc surfaces, Dirichlet problem, Continuity Method, a priori estimate.