Results 11 to 20 of about 15,280 (155)
Existence of solutions for some fourth-order nonlinear elliptic problems
Journal of Mathematical Analysis and Applications, 2009 Yang Yang, Jihui Zhang
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GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
wiley +1 more source
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Autonomous vehicles are required to operate in an uncertain environment. Recent advances in computational intelligence techniques make it possible to understand driving scenes in various environments by using a semantic segmentation neural network, which assigns a class label to each pixel.
Yining Hua +4 more
wiley +1 more source
Journal of Nonlinear Sciences and Applications, 2010 In this paper, we establish an equivalent statement of minimax inequality for a special class of functionals. As an application, a result for the existence of three solutions to the Dirichlet problem ‰ i(ju 0 j pi2 u 0 ) 0 = ‚f(x;u); u(a) = u(b) = 0; where f : (a;b) £ R ! R is a continuous function, p > 1 and ‚ > 0, is emphasized.
G.A. AFROUZI +3 more
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Global Solutions to Nonconvex Optimization of 4th-Order Polynomial and Log-Sum-Exp Functions [PDF]
, 2014 This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a problem arises extensively in engineering and sciences.
Chen, Yi, Gao, David Y
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Nodal solutions for the Choquard equation [PDF]
, 2016 We consider the general Choquard equations $$ -\Delta u + u = (I_\alpha \ast |u|^p) |u|^{p - 2} u $$ where $I_\alpha$ is a Riesz potential. We construct minimal action odd solutions for $p \in (\frac{N + \alpha}{N}, \frac{N + \alpha}{N - 2})$ and ...
Ghimenti, Marco, Van Schaftingen, Jean
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Minimax frequency domain performance and robustness optimization of linear feedback systems [PDF]
, 1985 It is shown that feedback system design objectives, such as disturbance attenuation and rejection, power and bandwidth limitation, and robustness, may be expressed in terms of required bounds of the sensitivity function and its complement on the ...
Kwakernaak, Huibert
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Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the ...
Qiang Zheng
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Generic singularities of minimax solutions to Hamilton--Jacobi equations [PDF]
, 2004 Minimax solutions are weak solutions to Cauchy problems involving Hamilton--Jacobi equations, constructed from generating families quadratic at infinity of their geometric solutions.
Capitanio, Gianmarco
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Infinitely many sign-changing solutions for Kirchhoff type problems in R3 [PDF]
Nonlinear Analysis, 2019 In this paper, we consider the following nonlinear Kirchhoff type problem: − a + b ∫ R 3 | ∇ u | 2 Δ u + V ( x ) u = f ( u ) , in R 3 , u ∈ H 1 ( R 3 ) , where a , b > 0 are constants, the nonlinearity f is superlinear at infinity with subcritical growth
Jijiang Sun +3 more
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