Results 21 to 30 of about 85,222 (279)

Elastic membrane equation in bounded and unbounded domains

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2002
The small-amplitude motion of a thin elastic membrane is investigated in $n$-dimensional bounded and unbounded domains, with $n\in \mathbb{N}$. Existence and uniqueness of solutions are established. Asymptotic of solutions is proved too.
Haroldo Rodrigues Clark
doaj   +1 more source

Phragm\'en-Lindel\"of theorem for infinity harmonic functions [PDF]

open access: yes, 2015
We investigate a version of the Phragm\'en-Lindel\"of theorem for solutions of the equation $\Delta_\infty u=0$ in unbounded convex domains. The method of proof is to consider this infinity harmonic equation as the limit of the $p$-harmonic equation when
Granlund, Seppo, Marola, Niko
core   +2 more sources

On the Wu metric in unbounded domains

open access: yes, 2007
We discuss the properties of the Wu pseudometric and present counterexamples for its upper semicontinuity that answers the question posed by Jarnicki and Pflug.
Jucha, Piotr
core   +1 more source

Existence of solutions to quasilinear elliptic equations in the Musielak–Orlicz–Sobolev spaces for unbounded domains

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper considers the existence of solutions of the Dirichlet problem for nonlinear elliptic equations of the second order in unbounded domains. Restrictions on the structure of quasilinear equations are formulated in terms of a special class of convex
Larisa Mikhailovna Kozhevnikova   +1 more
doaj   +1 more source

Monotonicity results for the fractional p-Laplacian in unbounded domains

open access: yesBulletin of Mathematical Sciences, 2021
In this paper, we develop a direct method of moving planes in unbounded domains for the fractional p-Laplacians, and illustrate how this new method to work for the fractional p-Laplacians.
Leyun Wu, Mei Yu, Binlin Zhang
doaj   +1 more source

Harmonic Maps with Prescribed Singularities on Unbounded Domains

open access: yes, 1995
The Einstein/Abelian-Yang-Mills Equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities $\p\colon\R^3\sm\Sigma\to\H^{k+1}_\C$ into the $(k+1)$-dimensional complex hyperbolic space.
Weinstein, Gilbert
core   +2 more sources

Tau acetylation at K331 has limited impact on tau pathology in vivo

open access: yesFEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto   +3 more
wiley   +1 more source

Solutions of anisotropic elliptic equations in unbounded domains

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova   +1 more
doaj   +1 more source

Cauchy integrals for the p-Laplace equation in planar Lipschitz domains

open access: yes, 2014
We construct solutions to p-Laplace type equations in unbounded Lipschitz domains in the plane with prescribed boundary data in appropriate fractional Sobolev spaces.
Nyström, Kaj, Rosén, Andreas
core   +1 more source

Calpain small subunit homodimerization is robust and calcium‐independent

open access: yesFEBS Letters, EarlyView.
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy   +4 more
wiley   +1 more source

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