Results 21 to 30 of about 15,280 (155)
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 , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s}u-
Huxiao Luo, Xianhua Tang, Shengjun Li
doaj +1 more source
Construction of Minimax Control for Almost Conservative Controlled Dynamic Systems with the Limited Perturbations [PDF]
, 2017 The problem is considered for constructing a minimax control for a linear stationary controlled dynamical almost conservative system (a conservative system with a weakly perturbed coefficient matrix) on which an unknown perturbation with bounded energy ...
Svyatovets, I. (Iryna)
core +2 more sources
A potential theoretic minimax problem on the torus [PDF]
, 2017 We investigate an extension of an equilibrium-type result, conjectured by Ambrus, Ball and Erd\'elyi, and proved recently by Hardin, Kendall and Saff.
Farkas, Bálint +2 more
core +5 more sources
Existence and symmetry results for competing variational systems [PDF]
, 2012 In this paper we consider a class of gradient systems of type $$ -c_i \Delta u_i + V_i(x)u_i=P_{u_i}(u),\quad u_1,..., u_k>0 \text{in}\Omega, \qquad u_1=...=u_k=0 \text{on} \partial \Omega, $$ in a bounded domain $\Omega\subseteq \R^N$.
Tavares, Hugo, Weth, Tobias
core +1 more source
Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems [PDF]
, 2020 We investigate the existence and the multiplicity of solutions of the problem −Δpu−Δqu=g(x,u)inΩ,u=0on∂Ω, where Ω is a smooth, bounded domain of ℝN , 1
F. Colasuonno
semanticscholar +1 more source
AI‐Driven Cancer Multi‐Omics: A Review From the Data Pipeline Perspective
Advanced Intelligent Discovery, EarlyView.The exponential growth of cancer multi‐omics data brings opportunities and challenges for precision oncology. This review systematically examines AI's role in addressing these challenges, covering generative models, integration architectures, Explainable AI for clinical trust, clinical applications, and key directions for clinical translation.
Shilong Liu, Shunxiang Li, Kun Qian
wiley +1 more source
Minimax Control of Constrained Parabolic Systems [PDF]
, 1995 In this paper we formulate and study a minimax control problem for a class of parabolic systems with controlled Dirichlet boundary conditions and uncertain distributed perturbations under pointwise control and state constraints.
Mordukhovich, B.S., Zhang, K.
core
Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions
Canadian Journal of Statistics, EarlyView.Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni +2 more
wiley +1 more source
, 2015 Import 22/07/2015V této bakalářské práci se zabývám hledáním stacionárních bodů funkcí více proměnných pomocí vybraných vět o minimaxu. Na začátku vysvětlím podmínky existence stacionárního bodu a možnosti jeho nalezení.
Guniová, Jiřina
core
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source