Journal: Journal of Geometric Analysis

Abbreviation

J Geom Anal

Publisher

Springer

Journal Volumes

ISSN

1050-6926
1559-002X

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Publications1 - 10 of 15
  • Yamabe Flow on Non-compact Manifolds with Unbounded Initial Curvature
    Item type: Journal Article
    Schulz, Mario B. (2020)
    Journal of Geometric Analysis
    We prove global existence of Yamabe flows on non-compact manifolds M of dimension m≥ 3 under the assumption that the initial metric g= ugM is conformally equivalent to a complete background metric gM of bounded, non-positive scalar curvature and positive Yamabe invariant with conformal factor u bounded from above and below. We do not require initial curvature bounds. In particular, the scalar curvature of (M, g) can be unbounded from above and below without growth condition. © 2019, Mathematica Josephina, Inc.
  • Free Boundary Hamiltonian Stationary Lagrangian Discs in C2
    Item type: Journal Article
    Gaia, Filippo (2025)
    Journal of Geometric Analysis
  • The Stability Inequality for Ricci-Flat Cones
    Item type: Journal Article
    Hall, Stuart; Haslhofer, Robert; Siepman, Michael (2014)
    Journal of Geometric Analysis
  • Doubling Property for BiLipschitz Homogeneous Geodesic Surfaces
    Item type: Journal Article
    Le Donne, Enrico (2011)
    Journal of Geometric Analysis
  • Periodic Homogenization and Harmonic Measures
    Item type: Journal Article
    David, Guy; Gloria, Antoine; Mayboroda, Svitlana; et al. (2026)
    Journal of Geometric Analysis
    Since the seminal work of Kenig and Pipher, the Dahlberg-Kenig-Pipher (DKP) condition on oscillations of the coefficient matrix became a standard threshold in the study of absolute continuity of the harmonic measure with respect to the Hausdorff measure on the boundary. It has been proved sufficient for absolute continuity in the domains with increasingly complex geometry, and known counterexamples show that in a certain sense it is necessary as well. In the present note, we introduce into the subject ideas from homogenization theory to exhibit a new class of operators for which the elliptic measure is well-behaved, featuring the coefficients violating the DKP condition, and on the contrary, oscillating so quickly, that the homogenization takes place.
  • Local Currents in Metric Spaces
    Item type: Journal Article
    Lang, Urs (2011)
    Journal of Geometric Analysis
  • Tori in S3 Minimizing Locally the Conformal Volume
    Item type: Journal Article
    Rivière, Tristan (2016)
    Journal of Geometric Analysis
  • Singular Yamabe Metrics by Equivariant Reduction
    Item type: Journal Article
    Hyder, Ali; Pistoia, Angela; Sire, Yannick (2021)
    Journal of Geometric Analysis
    We construct singular solutions to the Yamabe equation using a reduction of the problem in an equivariant setting. This provides a non-trivial geometric example for which the analysis is simpler than in Mazzeo-Pacard program. Our construction provides also a non-trivial example of a weak solution to the Yamabe problem involving an equation with (smooth) coefficients.
  • Regularity of Dirichlet Nearly Minimizing Multiple-Valued Functions
    Item type: Journal Article
    Goblet, Jordan; Zhu, Wei (2008)
    Journal of Geometric Analysis
  • Compactness of the space of minimal hypersurfaces with bounded volume and p-th Jacobi eigenvalue
    Item type: Journal Article
    Ambrozio, Lucas; Carlotto, Alessandro; Sharp, Ben (2016)
    Journal of Geometric Analysis
Publications1 - 10 of 15