Results 81 to 90 of about 10,181,115 (247)
Existence of infinitely many solutions for fourth-order equations depending on two parameters
Electronic Journal of Differential Equations, 2017 By using variational methods and critical point theory, we establish the existence of infinitely many classical solutions for a fourth-order differential equation. This equation has nonlinear boundary conditions and depends on two real parameters.
Armin Hadjian, Maryam Ramezani
doaj
Advances in Bio‐Integrated Edge Computing Systems for Smart and Connected Health
Advanced Materials, EarlyView.This review explores advances in bio‐integrated edge computing for healthcare, focusing on co‐designing computing, sensing, and energy strategies to overcome integration and power challenges for optimized, decentralized operation. ABSTRACT Recent advances in bio‐integrated healthcare technologies have enabled continuous, high‐resolution monitoring and ...
Gyuwon Kim +4 more
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A class of nonlinear Sturm-Liouville problems with infinitely many solutions
, 1988 This paper is concerned with the existence of solutions of nonlinear Sturm-Liouville problems whose linear part is at resonance. It is shown that such problems may have infinitely many solutions if the nonlinear perturbations are periodic.
Klaus Schmitt, Renate Schaaf
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Infinitely many solutions for Hamiltonian system with critical growth
Advances in Nonlinear AnalysisIn this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
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Monolithically 3D‐Printed Spectral‐Spatial Meta‐Authenticators
Advanced Materials, EarlyView.A single height map printed in a low‐index resin by two‐photon lithography encodes multiple visible wavelengths in one metasurface without any polarization optics. A fabrication‐aware optimization folds the printable height levels into the design, so the device is printed as optimized.
Cherry Park +3 more
wiley +1 more source
Infinitely many weak solutions for a mixed boundary value system with $(p_1,...p_m)$-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2014 The aim of this paper is to prove the existence of infinitely many weak solutions for a mixed boundary value system with $(p_1,\dots,p_m)$-Laplacian. The approach is based on variational methods.
Diego Averna, Elisabetta Tornatore
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Advanced Materials Interfaces, EarlyView.A sonochemical strategy constructs an ex situ 2D hierarchical black phosphorus–Mn2O3 heterostructure, enabling intimate interfacial coupling, enhanced charge transport, and improved electrochemical stability. The optimized BPM‐37.5% electrode delivers 466 F g−1 with 84% retention after 8000 cycles, while the flexible device exhibits high areal energy ...
Sowmiya Selvaraj +1 more
wiley +1 more source
Infinitely many solutions to quasilinear Schrödinger equations with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
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Advanced Materials Technologies, EarlyView.Desktop vacuum thermoforming enables rapid, low‐cost fabrication of 96‐channel polystyrene culture chips with very thin imaging interfaces. The resulting platform supports cell lines, primary cells, and patient‐derived organoids, and enables high‐resolution confocal microscopy and single‐cell visualization, providing an accessible approach for advanced
Aleksandra Fomina +5 more
wiley +1 more source
Infinitely Many Sign-Changing Solutions for Some Nonlinear Fourth-Order Beam Equations
Abstract and Applied Analysis, 2013 Several new existence theorems on positive, negative, and sign-changing solutions for the following fourth-order beam equation are obtained: u(4)=f(t,u(t)), t∈[0,1]; u(0)=u(1)=u′′(0)=u′′(1)=0, where f∈C([0,1]×ℝ1,ℝ1).
Ying Wu, Guodong Han
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