A5057723116- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Nonlinear Differential Equations Analysis
- Spectral Theory in Mathematical Physics
- Numerical methods in inverse problems
- Differential Equations and Boundary Problems
- Advanced Mathematical Physics Problems
- Geometric Analysis and Curvature Flows
- Differential Equations and Numerical Methods
- Contact Mechanics and Variational Inequalities
- Advanced Memory and Neural Computing
- Aerospace Engineering and Control Systems
- Advanced Differential Equations and Dynamical Systems
- Air Quality Monitoring and Forecasting
- Tactile and Sensory Interactions
- IoT and GPS-based Vehicle Safety Systems
- Neuroscience and Neural Engineering
- CCD and CMOS Imaging Sensors
- Fractional Differential Equations Solutions
- Neurobiology and Insect Physiology Research
- Aerospace Engineering and Applications
- Gas Sensing Nanomaterials and Sensors
- Advanced Chemical Sensor Technologies
- Stability and Controllability of Differential Equations
- Numerical methods for differential equations
University of Ulsan
2015-2024
University of Virginia
2022-2024
Pusan National University
2005-2020
Keimyung University
2020
University of Economics Ho Chi Minh City
2012
Utah State University
2006
University of Utah
2004
Arthropods’ eyes are effective biological vision systems for object tracking and wide field of view because their structural uniqueness; however, unlike mammalian eyes, they can hardly acquire the depth information a static monocular cues. Therefore, most arthropods rely on motion parallax to track in three-dimensional (3D) space. Uniquely, praying mantis (Mantodea) uses both compound structured form stereopsis is capable achieving recognition 3D Here, by mimicking system using...
Abstract We investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition. By employing the De Giorgi iteration and localization method, we give a-priori bounds for solutions these problems. The existence of is also established using Brezis’ theorem pseudomonotone operators.
Abstract In‐sensor computing is an emerging architectural paradigm that fuses data acquisition and processing within a sensory domain. The integration of multiple functions into single domain reduces the system footprint while it minimizes energy time for transfer between units. However, challenging simple compact image sensor array to achieve both sensing in each pixel. Here, this work demonstrates focal plane with heterogeneously integrated one‐photodiode one‐resistor (1P‐1R)‐based...
We investigate the existence, non-existence, uniqueness, and multiplicity of positive solutions to following problem: \begin{align}\label{P} \left\{ \begin{array}{l} D_{0+}^\alpha u + h(t)f(u) = 0, \quad 0<t<1, \\[1ex] u(0)=u(1)=0, \end{array} \right. \end{align} where $D_{0+}^\alpha$ is Riemann-Liouville fractional derivative order $\alpha\in(1,2]$. Firstly, by considering first eigenvalue $\lambda_1(\alpha)$ corresponding problem, we establish existence for both sublinear superlinear cases...
We show the existence of two nontrivial nonnegative solutions and infinitely many for degenerate $p(x)$-Laplace equations involving concave-convex type nonlinearities with parameters. By investigating order concave convex terms using a variational method, we determine according to range each parameter. Some Caffarelli-Kohn-Nirenberg problems variable exponents are also discussed.
We estimate Lyapunov inequalities for a single equation, cycled system and coupled of one-dimensional -Laplacian problems with weight functions having stronger singularities than .
Abstract We prove the existence of ground state positive solutions for a class semipositone p -Laplacian problems with critical growth reaction term. The proofs are established by obtaining crucial uniform C 1, α priori estimates and concentration compactness arguments. Our results new even in semilinear case = 2.
We prove the existence of positive radial solutions to a class semipositone p -Laplacian problems on exterior ball subject Dirichlet and nonlinear boundary conditions. Using variational methods we solution, then use priori estimates positivity solution.
We establish a new solution operator for the following problem − φ p ( u ′ ) = g , t ∈ (0,1), (0) 0 (1), where x | −2 > 1. may be singular at boundary or change signs not in L 1 (0,1) so that this can cover larger class of than previously known ones. As an application, by checking complete continuity operator, we show existence nontrivial solutions ‐Laplacian + λ h f )) 0, parameter and C ℝ beyond (0,1).