Everything about Free boundary problem

🧭 Start here: a 6-step reading path

1. Read the overview: Free boundary problemA 5-minute orientation
2. Skim a recent paper: A delay induced nonlocal free boundary problemInfluential work since 2022
3. Pick up a classic book: Force-Free Magnetic FieldsThe most-reprinted book on the subject
4. Read the landmark paper: A free boundary problem in ecologyCited 61 times
5. Go sideways: Elliptic boundary value problemA closely related topic
6. Go sideways: Kansa methodA closely related topic

🏆 Landmark papers (most cited)

• A free boundary problem in ecology

  Masayasu Mimura, Yoshio Yamada, Shoji Yotsutani · 1985 · Japan Journal of Applied Mathematics · 61 citations

• Stalactite growth as a free-boundary problem

  Martin B. Short, James C. Baygents, Raymond E. Goldstein · 2005 · Physics of Fluids · 37 citations

• Free Boundary Problem

  David E. Tepper · 1974 · SIAM Journal on Mathematical Analysis · 36 citations

• Maximal regularity for a free boundary problem

  Joachim Escher, Gieri Simonett · 1995 · Nonlinear Differential Equations and Applications NoDEA · 24 citations

• An elliptic-parabolic free boundary problem

  J. Hulshof, L.A. Peletier · 1986 · Nonlinear Analysis: Theory, Methods & Applications · 22 citations

• A Free Boundary Optimization Problem

  Andrew Acker · 1978 · SIAM Journal on Mathematical Analysis · 20 citations

• A Nonlocal Free Boundary Problem

  Serena Dipierro, Ovidiu Savin, Enrico Valdinoci · 2015 · SIAM Journal on Mathematical Analysis · 16 citations

• SINGULAR FREE BOUNDARY PROBLEM FROM IMAGE PROCESSING

  A. L. AMADORI, J. L. VÁZQUEZ · 2005 · Mathematical Models and Methods in Applied Sciences · 16 citations

🆕 Influential since 2022

• A delay induced nonlocal free boundary problem

  Yihong Du, Jian Fang, Ningkui Sun · 2022 · Mathematische Annalen · 12 citations

• A non-parametric Plateau problem with partial free boundary

  Giovanni Bellettini, Roberta Marziani, Riccardo Scala · 2024 · Journal de l’École polytechnique — Mathématiques · 5 citations

• Inhomogeneous global minimizers to the one-phase free boundary problem

  Daniela De Silva, David Jerison, Henrik Shahgholian · 2022 · Communications in Partial Differential Equations · 5 citations

• A free boundary problem with nonlinear advection and Dirichlet boundary condition

  Ning Ding, Jingjing Cai, Li Xu · 2023 · Nonlinear Analysis: Real World Applications · 4 citations

• A Free Boundary Problem for a Predator-Prey System

  M. S. Rasulov, A. N. Elmurodov · 2023 · Lobachevskii Journal of Mathematics · 4 citations

📚 Books worth reading

• Force-Free Magnetic FieldsGerald E. Marsh · 1995
• 📕Regularity of free boundaries in obstacle-type problemsArshak Petrosyan · 2012

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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