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REAL AND HARMONIC ANALYSIS & FUNCTION SPACES

  • Curl-measure fields, the generalized Stokes theorem and vorticity fluxes. w/ G-Q Chen & M Torres

        Preprint (Sep 2025, 78 pp.) available here.

  • On Korn inequalities with lower order trace terms. w/ E Süli & T Tscherpel

        Preprint (Sep 2025, 24 pp.) available here. 

  • Extensions of divergence-free fields in L¹-based spaces. w/ S Schiffer

       Preprint (Aug 2024, 48 pp.) available here.

  • Critical KMS inequalities in all dimensions. w/ P Lewintan & J Van Schaftingen

       Preprint (May 2024, 12 pp.) available here.

  • Sharp KMS-inequalities for general incompatibilities. w/ P Lewintan & P Neff

       (M³AS - Math. Meth. Mod. Appl. Sc., link to published version), Preprint (Dec 2022, 32 pp.) available here

  • Limiting L¹-estimates on halfspaces. w/ B Raita & J Van Schaftingen

       (Adv. Math., link to published version), Preprint (Nov 2022, 22 pp.) available here.

  • Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions. w/ P Lewintan & P Neff

       (Calc. Var. PDE, link to published version), Preprint (Jun 2022, 24 pp.) available here.

  • Natural annihilators and operators of constant rank over ℂ. w/ S Schiffer

       (Atti Acc. Rendiconti Lincei (Mat. ed Appl.), link to published version), Preprint (Mar 2022, 18 pp.) available here.

  • On symmetric div-quasiconvex hulls and divsym-free L^∞-truncations. w/ L Behn & S Schiffer

       (Ann. Inst. Henri Poincaré (C), link to published version), Preprint (Aug 2021, 40 pp.) available here.

  • Sharp trace and Korn inequalities for differential operators. w/ L Diening​​

       (Potential Analysis, link to published version), Preprint (May 2021, 48 pp.) available here. For an overview talk, click here.

  • On Korn-Maxwell-Sobolev inequalities. w/ D Spector

       (J. Math. Anal. Appl., link to published version). Preprint (Oct 2020, 12 pp.) available here.

  • Riesz potentials for ℂ-elliptic differential operators and continuity points for BV^A maps. w/ L Diening.

       (Q.J. Math. (Oxford), link to published version). Preprint (Nov 2019, 13 pp.) available here.

  • The Lipschitz truncation of functions of bounded variation. w/ D Breit & L Diening

      (Indiana Univ. Math. J.). Preprint (Aug 2019, 16 pp.) available here.

  • On limiting trace inequalities for vectorial differential operators. w/ B Raita & J Van Schaftingen

      (Indiana Univ. Math. J.). Preprint (Mar 2019, 30 pp.) available here.

  • Critical Lp-differentiability of BD-maps. w/ B Raita

       (Rev. Mat. Iberoam., link to published version). Preprint (Feb 2018, title has slightly changed) available here.

  • Limiting embeddings for 𝔸-weakly differentiable functions on domains. w/ B Raita

       (Journal of Functional Analysis (JFA), link to published version) . Preprint (Sep 2017) available here.

  •  On traces for functions of bounded 𝔸-variation. w/ D Breit & L Diening

       (Analysis & PDE, link to published version). Preprint (Jul 2017) available here. For an overview talk, click here

Contact Details: 

F Gmeineder

Professorship 'Theory of PDEs'                                                                                 

FB Mathematik & Statistik

Universitätsstraße 10                                 E-Mail: franz.gmeineder (at) uni-konstanz.de

78464 Konstanz, Germany

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