Results 31 to 40 of about 469,372 (283)

Multiple Solutions for a Fractional Difference Boundary Value Problem via Variational Approach

Abstract and Applied Analysis, 2012
By establishing the corresponding variational framework and using the mountain pass theorem, linking theorem, and Clark theorem in critical point theory, we give the existence of multiple solutions for a fractional difference boundary value problem with ...
Zuoshi Xie, Yuanfeng Jin, Chengmin Hou
doaj   +1 more source

Exact Consequences of the Trace Anomaly in Four Dimensions [PDF]

, 2001
The general form of the stress-tensor three-point function in four dimensions is obtained by solving the Ward identities for the diffeomorphism and Weyl symmetries.
Andrea Cappelli, Anselmi, Anselmi, Anselmi, Anselmi, Anselmi, Bastianelli, Birrel, Cappelli, Cappelli, Cappelli, Cappelli, Cardy, Cardy, Cardy, Coleman, Deser, Di Francesco, Dolgov, Duff, Erdmenger, Forte, Freedman, Freedman, Frishman, Girardello, Gubser, Horejsi, Jack, Nicodemo Magnoli, Osborn, Osborn, Osborn, Pasti, Polchinski, Porrati, Riccardo Guida, Rosemberg, Stanev, Wolfram, Zamolodchikov, Zamolodchikov   +41 more
core   +2 more sources

On the connection between the number of nodal domains on quantum graphs and the stability of graph partitions

, 2011
Courant theorem provides an upper bound for the number of nodal domains of eigenfunctions of a wide class of Laplacian-type operators. In particular, it holds for generic eigenfunctions of quantum graph.
B. Helffer, B. Helffer, B. Helffer, C. Sturm, C. Sturm, D. Bucur, G. Berkolaiko, G. Blum, Gregory Berkolaiko, Hillel Raz, I. Polterovich, L. Friedlander, L.A. Caffarelli, M. Conti, M. Harmer, P. Kuchment, P. Schapotschnikow, R. Band, Ram Band, S. Gnutzmann, S. Gnutzmann, Uzy Smilansky, V. Kostrykin, Y.V. Pokornyĭ, Å. Pleijel   +24 more
core   +1 more source

Intrinsic and emergent anomalies at deconfined critical points

, 2017
It is well known that theorems of Lieb-Schultz-Mattis type prohibit the existence of a trivial symmetric gapped ground state in certain systems possessing a combination of internal and lattice symmetries.
Metlitski, Max A., Thorngren, Ryan
core   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics

Advanced Functional Materials, EarlyView.
2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit, Yifei Yang, Shawn Li, Yu‐Chia Chen, Qi Jia, Jian‐Ping Wang   +5 more
wiley   +1 more source

Multiple Solutions for a Critical Steklov Kirchhoff Equation

Fractal and Fractional
In the present work, we study some existing results related to a new class of Steklov p(x)-Kirchhoff problems with critical exponents. More precisely, we propose and prove some properties of the associated energy functional. In the first existence result,
Maryam Ahmad Alyami, Abdeljabbar Ghanmi
doaj   +1 more source

Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges

Advanced Functional Materials, EarlyView.
Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley   +1 more source

Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet

Advanced Materials, EarlyView.
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens, Francisco Romero‐Lara, Trisha Sai, Kalyan Biswas, Manuel Vilas‐Varela, Thomas Frederiksen, Diego Peña, Fabian Schulz, Jose Ignacio Pascual   +8 more
wiley   +1 more source

Morse Thoery of Saddle Point Reduction with Applications

Axioms
In this paper, we demonstrate that when saddle point reduction is applicable, there is a clear relationship between the Morse index and the critical groups before and after the reduction.
Ran Yang, Qin Xing
doaj   +1 more source