Local analysis of a two phase free boundary problem concerning mean curvature

DOI10.1512/iumj.2022.71.9014zbMath1505.35275arXiv2005.01012OpenAlexW3023395649MaRDI QIDQ5050601

Lorenzo Cavallina

Publication date: 17 November 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.01012

zbMATH Keywords

free boundary problemmean curvatureimplicit function theoremoverdetermined problemCrandall-Rabinowitz bifurcation theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Bifurcation theory of functional-differential equations (34K18) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (1)

Linear stability analysis of overdetermined problems with non-constant data

Cites Work

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• An overdetermined problem with non-constant boundary condition
• Bifurcation analysis for a free boundary problem modeling tumor growth
• Some characterizations of parallel hyperplanes in multi-layered heat conductors
• On the stability of the Serrin problem
• Shape variation and optimization. A geometrical analysis
• Nearly optimal stability for Serrin's problem and the soap bubble theorem
• On the stability for Alexandrov's soap bubble theorem
• Linear and quasilinear elliptic equations
• Bifurcation from simple eigenvalues
• A symmetry problem in potential theory
• Two-phase heat conductors with a surface of the constant flow property
• Nontrivial solutions to Serrin's problem in annular domains
• Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
• Two-phase heat conductors with a stationary isothermic surface
• A general comparison theorem with applications to volume estimates for submanifolds
• Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities
• Bifurcation phenomena in a free boundary problem for a circulating flow with surface tension
• The free boundary of a flow in a porous body heated from its boundary
• Lectures on Elliptic Partial Differential Equations
• On some elliptic transmission problems
• Stability analysis of the two-phase torsional rigidity near a radial configuration
• The classical overdetermined Serrin problem

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