The singular set of higher dimensional unstable obstacle type problems
DOI10.4171/RLM/648zbMath1302.35459arXiv1207.3398OpenAlexW2113971280MaRDI QIDQ2376639
Henrik Shahgholian, John Andersson, Georg Sebastian Weiss
Publication date: 24 June 2013
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.3398
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (2)
Cites Work
- On the singularities of a free boundary through Fourier expansion
- Tangent cones to two-dimensional area-minimizing integral currents are unique
- Cross-shaped and degenerate singularities in an unstable elliptic free boundary problem
- An unstable elliptic free boundary problem arising in solid combustion
- Weak uniqueness and partial regularity for the composite membrane problem
- Uniform regularity close to cross singularities in an unstable free boundary problem
- Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\)
- Lagrangian approach to the study of level sets: Application to a free boundary problem in climatology
- Newtonian potential theory for unbounded sources and applications to free boundary problems
- The singular set for the composite membrane problem
- Minimal varieties in Riemannian manifolds
- Minimal cones and the Bernstein problem
- Eliminating Mixed Asymptotics in Obstacle Type Free Boundary Problems
- Existence of steady vortex rings in an ideal fluid
- Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
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