Results 51 to 60 of about 3,534,316 (293)

Cohomology and Decomposition of Tensor Product Representations of SL(2,R) [PDF]

, 2002
We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on indefinite inner product spaces, we derive explicit decomposition formulae,
André van Tonder, Bal, Balasubramanian, Bargmann, Barut, Basu, Becchi, Becchi, Bernstein, Biedenharn, Bognar, Gel'fand, Gel'fand, Henneaux, Holman, Kostant, Lepansky, Mal'cev, Molchanov, Mukunda, Pukánszky, Repka, Rühl, Segal, van Tonder, van Tonder, Zuckerman   +26 more
core   +4 more sources

Optimization of the First Eigenvalue of Equations with Indefinite Weights

Advanced Nonlinear Studies, 2013
Abstract We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial ...
Cosner, C, CUCCU, FABRIZIO, Porru, G.
openaire   +4 more sources

A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators

, 2009
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point.
A. Fleige, A. Fleige, A. Fleige, A. Fleige, A.B. Mingarelli, A.N. Kochubei, B. Curgus, B. Ćurgus, B. Ćurgus, B. Ćurgus, B.M. Levitan, D. Hilbert, E.A. Coddington, E.C. Titchmarsh, E.C. Titchmarsh, F. Gesztesy, F.V. Atkinson, F.V. Atkinson, H. Langer, I. Knowles, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.S. Kac, J. Behrndt, J. Behrndt, J. Behrndt, J. Weidmann, J.F. Brasche, M. Klaus, M.G. Krein, P. Binding, P. Jonas, P. Jonas, R. Beals, R. Beals, R.C. Gilbert, R.G.D. Richardson, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.I. Gorbachuk, W. Allegretto   +49 more
core   +3 more sources

𝑝(𝑥)-Laplacian with indefinite weight [PDF]

Proceedings of the American Mathematical Society, 2011
We consider the eigenvalue problem − div ( | ∇ u | p ( x ) − 2 ∇ u )
openaire   +2 more sources

Positive subharmonic solutions to nonlinear ODEs with indefinite weight [PDF]

Communications in Contemporary Mathematics, 2017
We prove that the superlinear indefinite equation [Formula: see text] where [Formula: see text] and [Formula: see text] is a [Formula: see text]-periodic sign-changing function satisfying the (sharp) mean value condition [Formula: see text], has positive subharmonic solutions of order [Formula: see text] for any large integer [Formula: see text], thus ...
Guglielmo Feltrin, Guglielmo Feltrin, Alberto Boscaggin   +2 more
openaire   +4 more sources

New Frontiers in Stand-Alone Digital Obesity Treatment. [PDF]

Obesity (Silver Spring)
Obesity, Volume 33, Issue 11, Page 2025-2026, November 2025.
West DS, Krukowski RA.
europepmc   +2 more sources

Homogenization of Steklov spectral problems with indefinite density function in perforated domains

, 2012
The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function is investigated in periodically perforated domains.
Douanla, Hermann Yonta
core   +1 more source

Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions [PDF]

, 2015
We consider a nonlinear eigenvalue problem with indefinite weight under Robin boundary condition. We prove the existence and multiplicity of positive solutions.
Ramos Quoirín, Humberto, Suárez Fernández, Antonio   +1 more
core   +1 more source

Muscle Organoids Reveal Exercise‐Like Contractions Rapidly Promote Muscle Health Via Lamtor1's Signaling to Both AMPK and mTOR

Advanced Science, EarlyView.
This study develops a novel 3D human skeletal muscle organoid platform to study the immediate molecular effects of exercise‐like contractions. The model uncovers rapid proteomic and transcriptomic responses, resolving a fundamental paradox by demonstrating how exercise‐induced Lamtor1 coordinately activates both AMPK and mTORC1. Lamtor1 is a compelling
Ziyue Yao, Zongmin Jiang, Xupeng Liu, Liping Zhang, Siyu Guo, Yu Chen, Lanfang Luo, Shilin Ma, Peng Wang, Ng Shyh‐Chang   +9 more
wiley   +1 more source

Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities

Advanced Nonlinear Studies, 2019
Efficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u′′=h⁢(t)⁢g⁢(u){u^{\prime\prime}=h(t)g(u)} are established.
Hakl Robert, Zamora Manuel
doaj   +1 more source