Results 1 to 10 of about 630 (56)

$q$-plurisubharmonic functions and a generalized Dirichlet problem. [PDF]

Michigan Mathematical Journal, 1978
We characterise in this work the $q$-plurisubharmonic functions in terms of the theory of viscosity solutions. We show that an upper semicontinuous function is $q$-plurisubharmonic if and only if its complex Hessian has at most $q$ strictly negative eigenvalues in the viscosity sense.
Hunt, L. R., Murray, John J.
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Plurisubharmonic Functions and Convexity Properties for General Function Algebras [PDF]

Transactions of the American Mathematical Society, 1972
A “natural system” consists of a Hausdorff space Σ \Sigma plus an algebra A \mathfrak {A} of complex-valued continuous functions on Σ \Sigma (which contains the constants and determines the topology in Σ \Sigma ) such that every continuous homomorphism of
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On a generalized Dirichlet problem for plurisubharmonic functions and pseudo-convex domains. Characterization of Šilov boundaries [PDF]

Transactions of the American Mathematical Society, 1959
Enoncé de résultats publiés depuis dans [Trans. Am. Math. Soc. 91, 246--276 (1959; Zbl 0091.07501)].
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Generalized Levi Currents and Singular Loci for Families of Plurisubharmonic Functions

The Journal of Geometric Analysis
We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plurisubharmonic functions, in the sense of Slodkowski.
Bianchi, Fabrizio, Mongodi, Samuele
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Extremal $\omega$-plurisubharmonic functions as envelopes of disc functionals: generalization and applications to the local theory

MATHEMATICA SCANDINAVICA, 2012
We generalize the Poletsky disc envelope formula for the function $\sup \{u\in \mathcal{PSH}(X,\omega); u\leq \phi\}$ on any complex manifold $X$ to the case where the real $(1,1)$-current $\omega=\omega_1-\omega_2$ is the difference of two positive closed $(1,1)$-currents and $\varphi$ is the difference of an $\omega_1$-upper semicontinuous function ...
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Elimination of singularities of subharmonic, plurisubharmonic functions and their generalizations

Ukrainian Mathematical Journal, 1989
The paper is devoted to a generalization of the classical Brelot theorem on the removability of the sets with zero capacity. The condition that the set is closed is removed and also the condition that the function is locally bounded is weakened.
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Oxide Cathodes: Functions, Instabilities, Self Healing, and Degradation Mitigations

Chemical Reviews, 2023
Yanhao Dong, Ju Li
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Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
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The role of m6A modification in the biological functions and diseases

Signal Transduction and Targeted Therapy, 2021
Baiyang Liu, Cui-Ping Yang
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Antimicrobial host defence peptides: functions and clinical potential

Nature Reviews Drug Discovery, 2020
Neeloffer Mookherjee, Marilyn A Anderson, Henk P Haagsman   +2 more
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