Abstract
In this paper we consider the Euclidean Steiner tree problem and, more generally, (single sink) Gilbert–Steiner problems as prototypical examples of variational problems involving 1-dimensional connected sets in
Funding source: Agence Nationale de la Recherche
Award Identifier / Grant number: LabEx PERSYVAL-Lab (ANR-11-LABX-0025-01)
Award Identifier / Grant number: project COMEDIC
Funding statement: The first and second author are partially supported by GNAMPA-INdAM. The third author gratefully acknowledges the support of the ANR through the project GEOMETRYA, the project COMEDIC and the LabEx PERSYVAL-Lab (ANR-11-LABX-0025-01).
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Articles in the same Issue
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- Phase-field approximation for a class of cohesive fracture energies with an activation threshold
- A Paneitz–Branson type equation with Neumann boundary conditions
- Regularity of solutions to a fractional elliptic problem with mixed Dirichlet–Neumann boundary data
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Articles in the same Issue
- Frontmatter
- Phase-field approximation for a class of cohesive fracture energies with an activation threshold
- A Paneitz–Branson type equation with Neumann boundary conditions
- Regularity of solutions to a fractional elliptic problem with mixed Dirichlet–Neumann boundary data
- Variational approximation of functionals defined on 1-dimensional connected sets in ℝ n
- Confined elasticae and the buckling of cylindrical shells
- Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
- Constant sign and nodal solutions for superlinear double phase problems