Results 41 to 50 of about 111,413 (237)
Solutions of nonlinear problems involving p(x)-Laplacian operator
Advances in Nonlinear Analysis, 2015 In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
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Comparison Principles for the p-Laplacian Operator
Journal of Mathematical Sciences, 2014 In this paper the author proves new comparison principles for the \(p\)-Laplace operator, both in bounded and in unbounded domains. In bounded domains he applies an approach already developed in the literature for the case where \(1 < p\leq 2\), and extends it to the case \(p > 2\), using measure theory.
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Abstract and Applied Analysis, 2014 We are concerned with the uniqueness of solutions for a class of p-Laplacian fractional order nonlinear systems with nonlocal boundary conditions.
Jun-qi He, Xue-li Song
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On the geometry of the $p$-Laplacian operator
, 2016 15 pages, 5 figures, Survey lecture given at the WIAS conference "Theory and Applications of Partial Differential Equations" in Dec ...
Kawohl, Bernd, Horák, Jiří
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Flexible Dielectric Acoustic Resonator Patch for Tissue Regeneration
Advanced Materials, EarlyView.A flexible dielectric acoustic resonator patch enables MHz‐range ultrasound generation through resonance amplification without using piezoelectric materials. Conformal integration on a curved substrate allows efficient acoustic delivery to tissue‐mimicking environments.
Donyoung Kang +7 more
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The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
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Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator [PDF]
Opuscula Mathematica, 2020 We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a \(\varphi\)-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree.
Pablo Amster +2 more
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A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]
, 2016 We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
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Enhancing Small Molecule Sensing With Aptameric Functionalized Nano Devices
Advanced Materials Technologies, EarlyView.Unveiling an ultra‐sensitive, non‐invasive neurotransmitter sensor. For the first time, a nanoscale sensor for detecting an important neurotransmitter was demonstrated using micro‐electromechanical systems (MEMS) technology. Our approach utilized field‐effect transistor (FET)‐based readout to enable pico‐molar detection of biomarkers in sweat.
Thi Thanh Ha Nguyen +11 more
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Advanced Robotics Research, EarlyView.Embedded flexible sensing technologies advance underwater soft robotics, yet most systems still suffer from hysteresis and limited perceptiveness. Instead, vision‐based tactile sensors provide reliable and rapid feedback essential for complex underwater tasks.
Qiyi Zhang +5 more
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