Nontrivial solutions of variational inequalities. The degenerate case [PDF]
We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core
Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments
ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun +5 more
wiley +1 more source
This work presents a novel generative artificial intelligence (AI) framework for inverse alloy design through operations (optimization and diffusion) within learned compact latent space from variational autoencoder (VAE). The proposed work addresses challenges of limited data, nonuniqueness solutions, and high‐dimensional spaces.
Mohammad Abu‐Mualla +4 more
wiley +1 more source
Lagrangian systems with Lipschitz obstacle on manifolds [PDF]
Lagrangian systems constrained on the closure of an open subset with Lipschitz boundary in a manifold are considered.
Lancelotti, Sergio +3 more
core
Solutions for nonlinear variational inequalities with a nonsmooth potential [PDF]
First we examine a resonant variational inequality driven by the p-Laplacian and with a nonsmooth potential. We prove the existence of a nontrivial solution.
Filippakis, ME +3 more
core +1 more source
Periodic solutions for a differential inclusion problem involving the p(t)-Laplacian
In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p(t)-Laplacian with a locally Lipschitz nonlinearity.
Chen Peng, Tang Xianhua
doaj +1 more source
Bio‐Inspired Optimisation Methods Applied to Low Carbon Power and Energy Problems: A Survey
ABSTRACT Bio‐inspired optimisation methods have been widely applied to complex real‐world problems, particularly in low‐carbon power and energy systems, where optimisation tasks often involve high‐dimensional, constrained and mixed‐integer characteristics.
Tianyu Hu +4 more
wiley +1 more source
Periodic solutions for systems with nonsmooth and partially coercive potential [PDF]
summary:In this paper we consider nonlinear periodic systems driven by the one-dimensional $p$-Laplacian and having a nonsmooth locally Lipschitz potential.
Filippakis, ME +2 more
core
Structural Feature Selection in Common Spatial Patterns Using Adaptive Sparse Group Lasso
ABSTRACT With the advancement of brain–computer interfaces (BCI), motor imagery (MI) electroencephalogram (EEG) decoding can greatly benefit from spatial filtering features derived from common spatial patterns (CSP). However, CSP‐based features often exhibit high redundancy and intersubject variability.
Yadi Wang +4 more
wiley +1 more source
Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues [PDF]
We consider a semilinear elliptic equation with a nonsmooth, locally Lipschitz potential function (hemivariational inequality). Our hypotheses permit double resonance at infinity and at zero (double-double resonance situation).
Leszek Gasinski +9 more
core +1 more source

