Results 31 to 40 of about 1,170,620 (259)
The Adjunction Inequality for Weyl-Harmonic Maps
In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical đ„-holomorphic curves in the ...
Ream Robert
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Regularity and irregularity of harmonic maps into manifolds
reservedWe introduce the definition of minimizing, stationary and weakly harmonic maps. We prove the monotonicity formula and we give some examples of harmonic maps. Then we state the epsilon-regularity theorem for energy minimizing harmonic maps, due to
DEL GRANDE, LEONARDO
core
We develop the notion of renormalized energy in CauchyâRiemann (CR) geometry for maps from a strictly pseudoconvex pseudo-Hermitian manifold to a Riemannian manifold. This energy is a CR invariant functional whose critical points, which we call CR-harmonic maps, satisfy a CR covariant partial differential equation. The corresponding operator coincides
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Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare lowâgrade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan +18 more
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RETRACTED ARTICLE: A sharp Trudinger type inequality for harmonic functions and its applications
The present paper introduces a sharp Trudinger type inequality for harmonic functions based on the Cauchy-Riesz kernel function, which includes modified Poisson type kernel in a half plane considered by Xu et al. (Bound. Value Probl. 2013:262, 2013).
Yili Tan, Yongli An, Hong Wang, Jing Liu
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ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider +15 more
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The Gauss Map and Nonholomorphic Harmonic Maps [PDF]
J. Eells and J. C. Wood [ 2 ] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for ...
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ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
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Gut microbiome and agingâA dynamic interplay of microbes, metabolites, and the immune system
Ageâdependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting ageârelated chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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On the existence of degenerate solutions of the two-dimensional $H$-system
We consider entire solutions $\omega \in \dot{H}^1(\mathbb{R}^2;\mathbb{R}^3)$ of the $H$-system \begin{equation*} \Delta \omega =2\omega _x\wedge \omega _y\, \end{equation*} which we refer to as bubbles.
Guerra, André +2 more
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