Results 11 to 20 of about 214,384,274 (154)
Existence of two nontrivial solutions for semilinear elliptic problems
Electronic Journal of Differential Equations, 2006 This paper concerns the existence of multiple nontrivial solutions for some nonlinear problems. The first nontrivial solution is found using a minimax method, and the second by computing the Leray-Schauder index and the critical group near 0.
Abdel R. El Amrouss +2 more
doaj +1 more source
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
Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions [PDF]
, 2023 This article focuses on minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions that a solution of the fuzzy relational inequalities is a minimal one and ...
Li, Meng, Shu, Qian-Yu, Wang, Xue-Ping
core +1 more source
Adaptive local minimax Galerkin methods for variational problems [PDF]
, 2021 In many applications of practical interest, solutions of partial differential equation models arise as critical points of an underlying (energy) functional.
Wihler, Thomas P. +3 more
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Existence of solutions for nonlinear parabolic problems [PDF]
, 1999 summary:We consider nonlinear parabolic boundary value problems. First we assume that the right hand side term is discontinuous and nonmonotone and in order to have an existence theory we pass to a multivalued version by filling in the gaps at the ...
Papageorgiou, N +3 more
core +1 more source
Boundary Value Problems, 2017 In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian 0.1 { ( − Δ ) s u − λ u = f ( x , u ) , x ∈ Ω , u = 0 , x ∈ R n ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s}u-
Huxiao Luo, Xianhua Tang, Shengjun Li
doaj +1 more source
Journal of Optimization, Differential Equations and Their ApplicationsWe study minimax estimation of functionals of solutions to parabolic problems under nonlinear observations with rapidly oscillating coefficients. An averaging approach is developed, the existence of a minimax estimator is proved, and the convergence of ...
Oleksandr M. Stanzhytskyi +2 more
doaj +1 more source
Existence of solutions to steady Navier-Stokes equations via a minimax approach [PDF]
, 2023 Our objective in this paper is to develop and utilize a minimax principle for proving the existence of symmetric solutions for the stationary Navier-Stokes equations.
Fereidooni, Amin +5 more
core +1 more source