Jeffrey Steven Case

    • 249 Citations
    • 7 h-Index
    20102020

    Research output per year

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    Research Output

    • 249 Citations
    • 7 h-Index
    • 27 Article
    • 1 Comment/debate
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    Article
    2020

    Sharp weighted Sobolev trace inequalities and fractional powers of the Laplacian

    Case, J. S., Jan 1 2020, (Accepted/In press) In : Journal of Functional Analysis. 108567.

    Research output: Contribution to journalArticle

    The Frank-Lieb approach to sharp Sobolev inequalities

    Case, J. S., Jan 1 2020, (Accepted/In press) In : Communications in Contemporary Mathematics. 20500157.

    Research output: Contribution to journalArticle

    2019

    Conformally variational riemannian invariants

    Case, J. S., Lin, Y. J. & Yuan, W., Jan 1 2019, In : Transactions of the American Mathematical Society. 371, 11, p. 8217-8254 38 p.

    Research output: Contribution to journalArticle

    1 Scopus citations

    Extremal metrics for the Q0-curvature in three dimensions

    Case, J. S., Hsiao, C. Y. & Yang, P., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 2, p. 585-626 42 p.

    Research output: Contribution to journalArticle

    Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory

    Case, J. S., Moreira, A. C. & Wang, Y., Jun 1 2019, In : Calculus of Variations and Partial Differential Equations. 58, 3, 106.

    Research output: Contribution to journalArticle

    The weighted σk-curvature of a smooth metric measure space

    Case, J. S., Jan 1 2019, In : Pacific Journal of Mathematics. 299, 2, p. 339-399 61 p.

    Research output: Contribution to journalArticle

    2018

    A Dirichlet's principle for the k-Hessian

    Case, J. S. & Wang, Y., Dec 1 2018, In : Journal of Functional Analysis. 275, 11, p. 2895-2916 22 p.

    Research output: Contribution to journalArticle

    An integral formula for the q-prime curvature in 3-dimensional cr geometry

    Case, J. S., Cheng, J. H. & Yang, P., Jan 1 2018, In : Proceedings of the American Mathematical Society. 147, 4, p. 1577-1586 10 p.

    Research output: Contribution to journalArticle

    Boundary operators associated to the σ k -curvature

    Case, J. S. & Wang, Y., Oct 15 2018, In : Advances in Mathematics. 337, p. 83-106 24 p.

    Research output: Contribution to journalArticle

    1 Scopus citations

    Boundary operators associated with the Paneitz operator

    Case, J. S., Jan 1 2018, In : Indiana University Mathematics Journal. 67, 1, p. 293-327 35 p.

    Research output: Contribution to journalArticle

    4 Scopus citations

    Sur la conjecture de Lichnerowicz pour les variétés CR de signature mixte

    Translated title of the contribution: On the Lichnerowicz conjecture for CR manifolds with mixed signatureCase, J. S., Curry, S. N. & Matveev, V. S., May 2018, In : Comptes Rendus Mathematique. 356, 5, p. 532-537 6 p.

    Research output: Contribution to journalArticle

    2017

    A weighted renormalized curvature for manifolds with density

    Case, J. S., Jan 1 2017, In : Proceedings of the American Mathematical Society. 145, 9, p. 4031-4040 10 p.

    Research output: Contribution to journalArticle

    Some energy inequalities involving fractional gjms operators

    Case, J. S., Jan 1 2017, In : Analysis and PDE. 10, 2, p. 253-280 28 p.

    Research output: Contribution to journalArticle

    5 Scopus citations
    2016

    A notion of the weighted σk-curvature for manifolds with density

    Case, J. S., Jun 4 2016, In : Advances in Mathematics. 295, p. 150-194 45 p.

    Research output: Contribution to journalArticle

    2 Scopus citations

    Extremal metrics for the Q'-curvature in three dimensions

    Case, J. S., Hsiao, C. Y. & Yang, P., Apr 1 2016, In : Comptes Rendus Mathematique. 354, 4, p. 407-410 4 p.

    Research output: Contribution to journalArticle

    1 Scopus citations

    On Fractional GJMS Operators

    Case, J. S. & Alice Chang, S. Y., Jun 1 2016, In : Communications on Pure and Applied Mathematics. 69, 6, p. 1017-1061 45 p.

    Research output: Contribution to journalArticle

    29 Scopus citations

    The CR Paneitz operator and the stability of CR pluriharmonic functions

    Case, J. S., Chanillo, S. & Yang, P., Jan 10 2016, In : Advances in Mathematics. 287, p. 109-122 14 p.

    Research output: Contribution to journalArticle

    3 Scopus citations
    2015

    A remark on the kernel of the CR Paneitz operator

    Case, J. S., Chanillo, S. & Yang, P., Oct 26 2015, In : Nonlinear Analysis, Theory, Methods and Applications. 126, p. 153-158 6 p., 10499.

    Research output: Contribution to journalArticle

    1 Scopus citations

    A Yamabe-type problem on smooth metric measure spaces

    Case, J. S., Nov 2015, In : Journal of Differential Geometry. 101, 3, p. 467-505 39 p.

    Research output: Contribution to journalArticle

    9 Scopus citations
    2013
    3 Scopus citations

    Sharp metric obstructions for quasi-Einstein metrics

    Case, J. S., Feb 1 2013, In : Journal of Geometry and Physics. 64, 1, p. 12-30 19 p.

    Research output: Contribution to journalArticle

    2 Scopus citations

    The Energy of a Smooth Metric Measure Space and Applications

    Case, J. S., Jan 1 2013, In : Journal of Geometric Analysis. 25, 1, p. 616-667 52 p.

    Research output: Contribution to journalArticle

    5 Scopus citations
    2012

    Smooth metric measure spaces, quasi-Einstein metrics, and tractors

    Case, J. S., Oct 1 2012, In : Central European Journal of Mathematics. 10, 5, p. 1733-1762 30 p.

    Research output: Contribution to journalArticle

    7 Scopus citations

    Smooth metric measure spaces and quasi-einstein metrics

    Case, J. S., Oct 1 2012, In : International Journal of Mathematics. 23, 10, 1250110.

    Research output: Contribution to journalArticle

    10 Scopus citations
    2011

    Rigidity of quasi-Einstein metrics

    Case, J., Shu, Y. J. & Wei, G., Feb 1 2011, In : Differential Geometry and its Application. 29, 1, p. 93-100 8 p.

    Research output: Contribution to journalArticle

    99 Scopus citations
    2010

    Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor

    Case, J. S., Mar 1 2010, In : Journal of Geometry and Physics. 60, 3, p. 477-490 14 p.

    Research output: Contribution to journalArticle

    34 Scopus citations

    The nonexistence of quasi-einstein metrics

    Case, J. S., Dec 28 2010, In : Pacific Journal of Mathematics. 248, 2, p. 277-284 8 p.

    Research output: Contribution to journalArticle

    33 Scopus citations