Results 51 to 60 of about 26,442 (220)
MathematicsThis paper is devoted to establishing multiplicity results of nontrivial weak solutions to the fractional p-Laplacian equations of the Kirchhoff–Schrödinger type with Hardy potentials.
Yun-Ho Kim
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Existence and multiplicity of entire solutions for fractional p-Kirchhoff equations
Advances in Nonlinear Analysis, 2016 The purpose of this paper is mainly to investigate the existence of entire solutions of the stationary Kirchhoff type equations driven by the fractional p-Laplacian operator in ℝN.
Pucci Patrizia +2 more
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Ground state solution for a class of supercritical nonlocal equations with variable exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we obtain the existence of positive critical point with least energy for a class of functionals involving nonlocal and supercritical variable exponent nonlinearities by applying the variational method and approximation techniques. We apply
Xiaojing Feng
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Advanced Functional Materials, EarlyView.A fully transparent, all‐metal‐oxide neuromorphic transistor using a sodium‐embedded alumina (SEA) electrolyte is demonstrated. By precisely tuning the thermal annealing process, the chemical composition of the SEA layer is controlled, allowing for the deterministic realization of both short‐term and long‐term synaptic plasticity within the same device
Yonghyun Albert Kwon +7 more
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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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Multiple Solutions for Kirchhoff Equations under the Partially Sublinear Case
Journal of Function Spaces, 2015 We prove the infinitely many solutions to a class of sublinear Kirchhoff type equations by using an extension of Clark’s theorem established by Zhaoli Liu and Zhi-Qiang Wang.
Wenjun Feng, Xiaojing Feng
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Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness
, 2019 We study the following Kirchhoff equation $$- \left(1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \ x \in \mathbb{R}^3.$$ A special feature of this paper is that the nonlinearity $f$ and the potential $V$ are indefinite ...
Li, Lin +2 more
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The Lax–Mizohata Theorem for Kirchhoff-Type Equations
Journal of Differential Equations, 2001 The paper deals with the necessity of the hyperbolicity to the Cauchy problem for two types of Kirchhoff equations (abstract Kirchhoff equations and Kirchhoff equations in the classes of real analytic functions) to be locally well-posed. To this end the author uses the gauge invariance of the Kirchhoff-type equations and also some ideas from the ...
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Advanced Materials, EarlyView.The perspective presents an integrated view of neuromorphic technologies, from device physics to real‐time applicability, while highlighting the necessity of full‐stack co‐optimization. By outlining practical hardware‐level strategies to exploit device behavior and mitigate non‐idealities, it shows pathways for building efficient, scalable, and ...
Kapil Bhardwaj +8 more
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Existence, multiplicity and nonexistence results for Kirchhoff type equations
Advances in Nonlinear Analysis, 2020 In this paper, we study following Kirchhoff type equation:
He Wei, Qin Dongdong, Wu Qingfang
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