Results 41 to 50 of about 23,886 (254)
Bounds for nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2001 We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
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Non-autonomous Eigenvalue Problems with Variable (p1,p2)-Growth
Advanced Nonlinear Studies, 2017 We are concerned with the study of a class of non-autonomous eigenvalue problems driven by two non-homogeneous differential operators with variable (p1,p2){(p_{1},p_{2})}-growth.
Baraket Sami +3 more
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Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
Advanced Science, EarlyView.Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu +6 more
wiley +1 more source
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper, we consider the Lidstone boundary value problem $y^{(2m)}(t) = \lambda a(t)f(y(t), \dots, y^{(2j)}(t), \dots y^{(2(m-1))}(t), 0 < t < 1, y^{(2i)}(0) = 0 = y^{(2i)}(1), i = 0, ..., m - 1$, where $(-1)^m f > 0$ and $a$ is nonnegative. Growth
Paul Eloe
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Eigenvalue problems with p-Laplacian operators
Electronic Journal of Differential Equations, 2014 In this article, we study eigenvalue problems with the p-Laplacian operator: $$ -(|y'|^{p-2}y')'= (p-1)(\lambda\rho(x)-q(x))|y|^{p-2}y \quad \text{on } (0,\pi_{p}), $$ where p>1 and $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
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Advanced Science, EarlyView.This work demonstrates a multimodal super‐resolution imaging technique for nitrogen‐vacancy centers by integrating high‐index‐induced structured illumination with optically detected magnetic resonance. By utilizing diamond's high refractive index, the method achieves sub‐100‐nm spatial resolution and enhanced localization. This dual‐modulation strategy
Kyu Ri Choi +9 more
wiley +1 more source
An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian
Advances in Nonlinear Analysis, 2015 We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.
Del Pezzo Leandro +3 more
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Realization of a Bilayer Elastic Topological Insulator
Advanced Science, EarlyView.Bilayer elastic wave topological insulators are experimentally realized, introducing the layer degree of freedom to access four topological phases. This enables diverse domain walls and transmission behaviors, including interlayer conversion and beam splitting.
Chengzhi Ma +4 more
wiley +1 more source