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Academic Journal

Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence

Subjects: Sobolev inequality; logarithmic Sobolev inequality; stability

  • Source: ISSN: 2168-0930 ; Cambridge Journal of Mathematics ; https://hal.science/hal-03780031 ; Cambridge Journal of Mathematics, In press.

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Academic Journal

Uniform concentration property for Griffith almost-minimizers

Subjects: Griffith functional; uniform concentration property; blow-up limits

  • Source: ISSN: 0021-7824 ; Journal de Mathématiques Pures et Appliquées ; https://hal.science/hal-04328837 ; Journal de Mathématiques Pures et Appliquées, 2025, 194, pp.103667.

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Academic Journal

Volume-Preserving Geometric Shape Optimization of the Dirichlet Energy Using Variational Neural Networks

Subjects: Shape optimization; Dirichlet energy; volume constraint

  • Source: ISSN: 0893-6080 ; Neural Networks ; https://hal.science/hal-04663197 ; Neural Networks, 2025, 184, pp.106957. ⟨10.1016/j.neunet.2024.106957⟩.

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  • 1-10 of  50,231 results for ""[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]""