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Title of Journal: Arch Rational Mech Anal

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Abbravation: Archive for Rational Mechanics and Analysis

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Springer Berlin Heidelberg

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DOI

10.1002/9781118942857.ch31

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1432-0673

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The Existence Problem for Steiner Networks in Stri

Authors: Alexandre Freire
Publish Date: 2011/04/05
Volume: 200, Issue: 2, Pages: 361-404
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Abstract

We consider the existence problem for ‘Steiner networks’ trivalent graphs with 2π/3 angles at each junction in strictly convex domains with ‘Neumann’ boundary conditions For each of the three possible combinatorial possibilities sufficient conditions on the domain are derived for existence In addition in each case explicit examples of nonexistence are given

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Other Papers In This Journal:
  1. Optimal Design in Conductivity Under Locally Constrained Heat Flux
  2. Regularity Issues in the Problem of Fluid Structure Interaction
  3. Negative Eigenvalues of Two-Dimensional Schrödinger Operators
  4. Dobrushin States in the $${\phi^4_1}$$ Model
  5. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  6. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  7. Counterexamples to the Sonic Criterion
  8. Dislocation Dynamics: Short-time Existence and Uniqueness of the Solution
  9. On Nonlinear Stochastic Balance Laws
  10. Weak Solutions of the Navier–Stokes Equations for Compressible Flows in a Half-Space with No-Slip Boundary Conditions
  11. Generalized Transition Fronts for One-Dimensional Almost Periodic Fisher-KPP Equations
  12. The Gel’fand Problem for the Biharmonic Operator
  13. Stability of Detonation Profiles in the ZND Limit
  14. Uniqueness of Absolute Minimizers for $${L^\infty}$$-Functionals Involving Hamiltonians $${H(x,p)}$$H(x,p)
  15. A Condition for the Hölder Regularity of Local Minimizers of a Nonlinear Elastic Energy in Two Dimensions
  16. Kinetic Stabilization¶of a Nonlinear Sonic Phase Boundary
  17. The Toda System and Clustering Interfaces in the Allen–Cahn equation
  18. A Stability Criterion for Two-Fluid Interfaces and Applications
  19. Long-Time Convergence of an Adaptive Biasing Force Method: The Bi-Channel Case
  20. Displacement Convexity and Minimal Fronts at Phase Boundaries
  21. Gradient Bounds for Elliptic Problems Singular at the Boundary
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