Results 61 to 70 of about 1,637 (213)

Nonlinear Resonance Modulation in Single‐Crystalline VO2‐Integrated Si Ring Resonator

Laser &Photonics Reviews, EarlyView.
This work first demonstrates a single‐crystalline VO2–Si hybrid ring resonator. The epitaxial lift‐off process enables high‐quality VO2 integration on the dissimilar Si photonic platform. The high‐quality VO2 film exhibits exceptional nonlinear resonance modulation and a steep optical transition across the metal‐insulator transition. ABSTRACT The metal‐
Sebae Park, Dong Kyu Lee, Junyeop Kim, Sungwon Lee, Heedeuk Shin, Junwoo Son   +5 more
wiley   +1 more source

Eigenvalue of Fractional Differential Equations with p-Laplacian Operator

Discrete Dynamics in Nature and Society, 2013
We investigate the existence of positive solutions for the fractional order eigenvalue problem with p-Laplacian operator -𝒟tβ(φp(𝒟tαx))(t)=λf(t,x(t)),  t∈(0,1),  x(0)=0,  𝒟tαx(0)=0,  𝒟tγx(1)=∑j=1m-2‍aj𝒟tγx(ξj), where 𝒟tβ,  𝒟tα,  𝒟tγ are the standard ...
Wenquan Wu, Xiangbing Zhou
doaj   +1 more source

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

Existence for doubly nonlinear fractional p-Laplacian equations

Annali di Matematica Pura ed Applicata (1923 -)
In this paper we prove the existence of a weak solution to a doubly nonlinear parabolic fractional $p$-Laplacian equation, which has general doubly non-linearlity including not only the Sobolev subcritical/critical/supercritical cases but also the slow/fast diffusion ones.
Nobuyuki Kato, Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura   +3 more
openaire   +3 more sources

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

Nontrivial solutions for Neumann fractional p-Laplacian problems [PDF]

Opuscula Mathematica
In this paper, we investigate some classes of Neumann fractional \(p\)-Laplacian problems. We prove the existence and multiplicity of nontrivial solutions for several different nonlinearities, by using variational methods and critical point theory based ...
Chun Li, Dimitri Mugnai, Tai-Jin Zhao
doaj   +1 more source

Existence of Positive Solutions for a System of Singular Fractional Boundary Value Problems with p-Laplacian Operators

Mathematics, 2020
We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with singular nonnegative nonlinearities and p-Laplacian operators, subject to nonlocal boundary conditions which ...
Ahmed Alsaedi, Rodica Luca, Bashir Ahmad
doaj   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

Multiple solutions for superlinear fractional p-Laplacian equations

Partial Differential Equations and Applications
Abstract We study a Dirichlet problem driven by the (degenerate or singular) fractional p-Laplacian and involving a $$(p-1)$$ ( p - 1 )
Antonio Iannizzotto, Vasile Staicu, Vincenzo Vespri   +2 more
openaire   +3 more sources

Advancing Quantitative Susceptibility Mapping With 2.5D Diffusion Models for Rapid Intracranial Hemorrhage Quantification

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong, Yang Gao, Feng Liu, Derek Emery, Ken Butcher, Alan H. Wilman, Hongfu Sun   +6 more
wiley   +1 more source