Results 51 to 60 of about 440,485 (323)

Weighted Hardy and potential operators in the generalized Morrey spaces [PDF]

, 2011
We study the weighted p -> q-boundedness of the multi-dimensional Hardy type operators in the generalized Morrey spaces L-p.phi(R-n, w) defined by an almost increasing function phi(r) and radial type weight w(vertical bar x vertical bar).
Adams, Adams, Alvarez, Arai, Bari, Bennett, Burenkov, Burenkov, Chiarenza, Di Fazio, Ding, Eridani, Giaquinta, Guliyev, Gunawan, Karapetiants, Kokilashvili, Krein, Kufner, Kufner, Kurata, Lars-Erik Persson, Maligranda, Maligranda, Matuszewska, Morrey, Nakai, Nakai, Nakai, Natasha Samko, Palagachev, Peetre, Peetre, Ragusa, Samko, Samko, Samko, Samko, Shirai, Spanne, Stampacchia, Taylor   +41 more
core   +1 more source

Advanced Mounting Technique for Improved Imaging and Analysis of Embedded Spheroids and Migrating Cells in Light Sheet Fluorescence Microscopy

Advanced Materials Technologies, EarlyView.
A novel sample holder compatible with the Zeiss Lightsheet 7 microscope improves imaging of spheroids embedded in collagen matrices. By enabling dual‐sided illumination, it enhances image quality and quantitative analysis of migrating cells. This method advances 3D light sheet microscopy for studying tumor invasion and therapeutic responses.
Masoumeh Mohamadian Namaqi, Franziska Moll, Robert Römer, Andreas Grodrian, Doris Heinrich, Karen Lemke   +5 more
wiley   +1 more source

Hardy-Carleman Type Inequalities for Dirac Operators

, 2015
General Hardy-Carleman type inequalities for Dirac operators are proved. New inequalities are derived involving particular traditionally used weight functions.
Agmon S., Alexandra Enblom, Amrein W., Carleman T., Dolbeault J., Hörmander L., Kufner A., Stein E. M., Treves J. F.   +8 more
core   +1 more source

Vision‐Assisted Avocado Harvesting with Aerial Bimanual Manipulation

Advanced Robotics Research, EarlyView.
This work outlines the design and implementation of a bimanual aerial robot that employs visual perception and learning to detect, reach, and harvest avocados. A new gripper and fixer arm assembly is used to harvest avocados, while visual perception enables the detection of avocados and estimation of their position and orientation for determining ...
Zhichao Liu, Jingzong Zhou, Caio Mucchiani, Konstantinos Karydis   +3 more
wiley   +1 more source

Positive Solution to Singular Elliptic Problems with Subcritical nonlinearities

Nonautonomous Dynamical Systems, 2019
In this paper, we study the existence of a non-trivial weak solution to the following singular elliptic equations with subcritical nonlinearities:
Kumar Dharmendra
doaj   +1 more source

Anisotropic elliptic problems involving Hardy-type potentials

Journal of Mathematical Analysis and Applications, 2013
AbstractIn this paper, we give existence, uniqueness and regularity of the solutions of problems whose prototype is {−ΔHu=λHo(x)2u+f(x)in Ω,u=0on ∂Ω, where Ω is a bounded open set of RN, N>2, and 0∈Ω. Here H is a norm on RN, Ho is its polar and ΔHu=div(H(Du)Hξ(Du)) is the anisotropic Laplacian.
Della Pietra Francesco, Gavitone Nunzia
openaire   +2 more sources

A Magnetic Contribution to the Hardy Inequality

, 2013
We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by ...
Ekholm, Tomas, Portmann, Fabian
core   +1 more source

Collision‐Resilient Winged Drones Enabled by Tensegrity Structures

Advanced Robotics Research, EarlyView.
Based on structures of birds such as the woodpeck, this article presents the collision‐resilient aerial robot, SWIFT. SWIFT leverages tensegrity structures in the fuselage and wings which allow it to undergo large deformations in a crash, without sustaining damage. Experiments show that SWIFT can reduce impact forces by 70% over conventional structures.
Omar Aloui, Raphael Zufferey, William Stewart, Mohammad Askari, Simon Jeger, Dario Floreano   +5 more
wiley   +1 more source

Critical Neumann Problem with Competing Hardy Potentials

Revista Matemática Complutense, 2007
In this paper we investigate the solvability of the nonlinear Neumann problem involving a critical Sobolev nonlinearity and two competing Hardy potentials in a bounded domain. We examine the common effect of the shape of the graph of the weight function, the mean curvature of the boundary and Hardy potentials on the existence of solutions of this ...
Cao, Daomin, Chabrowski, Jan
openaire   +2 more sources

Sharp two-sided heat kernel estimates for critical Schr\"odinger operators on bounded domains

, 2006
On a smooth bounded domain \Omega \subset R^N we consider the Schr\"odinger operators -\Delta -V, with V being either the critical borderline potential V(x)=(N-2)^2/4 |x|^{-2} or V(x)=(1/4) dist (x,\partial\Omega)^{-2}, under Dirichlet boundary ...
A. Grigoryan, A. Grigoryan, Achilles Tertikas, D.G. Aronson, E.B. Davies, E.B. Davies, E.B. Davies, E.B. Davies, E.B. Davies, E.B. Davies, E.B. Fabes, E.B. Fabes, E.B. Fabes, F.M. Chiarenza, G. Barbatis, G. Barbatis, H. Brezis, H. Brezis, J. Dávila, J. Moser, J. Nash, J.L. Vázquez, L. Moschini, L. Saloff-Coste, Luisa Moschini, P. Baras, P. Gao, P. Li, P.D. Milman, Qi. S. Zhang, S. Filippas, S. Filippas, S. Filippas, Stathis Filippas, V.G. Mazya, X. Cabré   +35 more
core   +2 more sources