Results 41 to 50 of about 3,079 (223)
On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn
Analysis and Geometry in Metric SpacesThis article is devoted to the study of a critical Choquard-Kirchhoff pp-sub-Laplacian equation on the entire Heisenberg group Hn{{\mathbb{H}}}^{n}, where the Kirchhoff function KK can be zero at zero, i.e., the equation can be degenerate, and involving ...
Liang Sihua +3 more
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A multiplicity result for asymptotically linear Kirchhoff equations
Advances in Nonlinear Analysis, 2017 In this paper, we study the following Kirchhoff type equation:
Ji Chao, Fang Fei, Zhang Binlin
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Submicron Metasurface Reconfigured Multiband Smart Windows
Advanced Functional Materials, EarlyView.This work presents a submicron metasurface reconfigured multiband thermochromic smart window. By integrating subwavelength nanostructures into a Fabry−Perot resonator configuration, it mitigates conventional trade‐offs to simultaneously deliver high luminous transmittance and robust solar heating and radiative cooling modulation capabilities ...
Guanya Wang +8 more
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Boundary Value ProblemsWe study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions u λ $u_{\lambda}$ and bifurcation curves λ ( α ) $\lambda (\alpha )$ , where α : = ∥ u λ ∥ ∞ $\alpha ...
Tetsutaro Shibata
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Multiplicity and concentration of solutions for Kirchhoff equations with exponential growth
Bulletin of Mathematical SciencesIn this paper, we deal with fractional [Formula: see text]-Laplace Kirchhoff equations with exponential growth of the form 𝜀ps(a + b[u] s,pp)(−Δ) psu + Z(x)|u|p−2u = h(u)in ℝN, where [Formula: see text] is a positive parameter, [Formula: see text ...
Xueqi Sun, Yongqiang Fu, Sihua Liang
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Stability of Solutions for a Krichhoff-Type Plate Equation with Degenerate Damping
Communications in Advanced Mathematical Sciences, 2022 We investigate a Kirchhoff type plate equation with degenerate damping term. By potential well theory, we show the asymptotic stability of energy in the presence of a degenerate damping.
Fatma Ekinci, Erhan Pişkin
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Generalized Kirchhoff Equations
IFAC Proceedings Volumes, 2000 Abstract Existing theories of control of autonomous underwater vehicle are based mainly on a potential framework for the surrounding fluid. It leads to ODE governing the motion of a vehicle. On the other hand an influence of more realistic rheology accounted for a different types of vorticity shedding can critically change the “potential” stability ...
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
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Open Mathematics, 2022 In this article, we study a class of Kirchhoff-type equation driven by the variable s(x, ⋅)-order fractional p1(x, ⋅) & p2(x, ⋅)-Laplacian. With the help of three different critical point theories, we obtain the existence and multiplicity of solutions in
Bu Weichun, An Tianqing, Zuo Jiabin
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n-Kirchhoff–Choquard equations with exponential nonlinearity
Nonlinear Analysis, 2019 This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see $(KC)$ below). We use the variational method in the light of Moser-Trudinger inequality to show the existence of weak solutions to $(KC)$.
Arora, R. +3 more
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