Existence and Non Existence of Capillary Surfaces.
Existence and regularity of hypersurfaces with prescribed mean curvature and a free boundary.
Existence of discontinuous absolute minima for certain multiple integrals without growth properties
In the present paper the author discusses certain multiple integrals of the calculus of variations satisfying convexity conditions, and no growth property, and the corresponding Serrin integrals , to which the existence theorems in [3,4,5] do not apply. However, in the present paper, the integrals and are reduced to simpler form and to which the existence theorems above apply. Thus, we derive that , , we obtain the existence of the absolute minimum for the Serrin forms and , and...
Existence of embedded solutions of Plateau's problem
Existence of minimizers for non-quasiconvex functionals arising in optimal design
Existence of solutions for the one-phase and the multi-layer free-boundary problems with the -Laplacian operator.
Existence, Regularity, and Boundary Behaviour of Generalized Surfaces of Prescribed Mean Curvature.
Existence results for embedded minimal surfaces of controlled topological type, II
Existence results for embedded minimal surfaces of controlled topological type, I
Existence results for embedded minimal surfaces of controlled topological type, III
Existence, uniqueness, and regularity for functions of least gradient.
Extending Minimal Varieties.