Results 31 to 40 of about 5,593 (259)
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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Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian
Advances in Difference Equations, 2021 The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of
Jufang Wang +3 more
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Periodic Solutions for Duffing Equations with a p-Laplacian-Like Operator
Computers & Mathematics with Applications, 2006 The authors state a theorem on the existence of a \(T\)-periodic solution to \[ (\phi(u'))'+g(u)=p(t,u,u')\tag{1} \] where \(\phi\), \(g\) and \(p\) are continuous functions; \(\phi \) is an increasing homeomorphism of \({\mathbb R}\) such that for some \(p>1\) and positive constants \(m_1,\,m_2\) we have \[ m_1| y| ^{p-1}\leq| \varphi(y)| \leq m_2| y|
Youyu Wang, Weigao Ge
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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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Two‐Dimensional Isotropic Spatial Differentiation Through Complete Polarization Control
Advanced Optical Materials, EarlyView.This work enables two‐dimensional isotropic spatial differentiation at planar interfaces over a wide range of incident angles by extending the output polarization from linear to elliptical. The choice of incident angle can be used to balance broader spectral response at low angles and higher edge‐detection efficiency at larger angles.
Doyoon Lee, Minkyung Kim
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[O─I─O]+ Halogen‐Bonded Complexes of Pyridine N‐Oxides
Angewandte Chemie, EarlyView.The missing puzzle of 3‐center‐4‐electron halogen‐bonded complexes viz. [O─I─O]+ of pyridine N‐oxides are structurally characterized by x‐ray diffraction. Monodentate N‐oxide O‐atom acts as the halogen bond acceptor. Their solution complexations are characterized by 15N NMR spectroscopy.
Rakesh Puttreddy +3 more
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Prior Expectations Bias Confidence Judgments Through Parietal Alpha‐Band Modulation
Advanced Science, EarlyView.ABSTRACT Humans possess the metacognitive ability to estimate the likely accuracy of their own decisions through confidence judgments. Yet, whether prior information shapes confidence and the neural mechanisms mediating such influence, remain to be determined.
Luca Tarasi +4 more
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Nucleophilic Gallyl Anions Enable Ga─Au Bimetallic Ammonia Activation
Angewandte Chemie, EarlyView.Unlocking gallyl nucleophiles: Counterion control enables formation of an unsupported gallyl─gold complex. Gold coordination induces a polarity switch at gallium, enabling cooperative activation of NH3 and related N─H/O─H substrates under mild conditions.
Hellen Videa +3 more
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Critical Concave Convex Ambrosetti–Prodi Type Problems for Fractional 𝑝-Laplacian
Advanced Nonlinear Studies, 2020 In this paper, we consider a class of critical concave convex Ambrosetti–Prodi type problems involving the fractional p-Laplacian operator. By applying the linking theorem and the mountain pass theorem as well, the interaction of the nonlinearities with ...
Bueno H. P. +3 more
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TRIM: Simultaneous Thermometry, Ranging, and Imaging via a Monolithic Metalens
Advanced Science, EarlyView.ABSTRACT While metasurfaces offer a pathway beyond the discrete architectures of conventional LWIR systems, physically fusing high‐precision thermometry and passive ranging onto a single metalens remains a formidable challenge. Here, we demonstrate a monolithic, dual‐focus metalens capable of simultaneous multidimensional sensing.
Man Yuan +10 more
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