Results 81 to 90 of about 1,022 (161)

Convergence of Rothe scheme for hemivariational inequalities of parabolic type

, 2012
This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
core  

System of partial differential hemivariational inequalities involving nonlocal boundary conditions

Demonstratio Mathematica
Let FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
doaj   +1 more source

Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques

Boundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal, Michael E. Filippakis, Donal O'Regan, Nikolaos S. Papageorgiou   +3 more
doaj   +1 more source

Variational differential inclusions without ellipticity condition

Electronic Journal of Qualitative Theory of Differential Equations, 2020
The paper sets forth a new type of variational problem without any ellipticity or monotonicity condition. A prototype is a differential inclusion whose driving operator is the competing weighted $(p,q)$-Laplacian $-\Delta_p u+\mu\Delta_q u$ with $\mu\in
Zhenhai Liu, Roberto Livrea, Dumitru Motreanu, Shengda Zeng   +3 more
doaj   +1 more source

The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]

, 2015
Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto{div} (\frac{\nabla u}{\sqrt{1-|\nabla u|^2}})
Bereanu, Cristian, Jebelean, Petru, Serban, Calin   +2 more
core  

Tykhonov well-posedness of elliptic variational-hemivariational inequalities

Electronic Journal of Differential Equations, 2019
We consider a class of elliptic variational-hemivariational inequalities in an abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.
Mircea Sofonea, Yi-Bin Xiao
doaj  

A note on hemivariational inequalities

Hokkaido Mathematical Journal, 2008
The purpose of this note is to establish some uniqueness results for hemivariational inequality.
openaire   +2 more sources

Well-posedness characterizations for system of mixed hemivariational inequalities

Miskolc Mathematical Notes
In this paper, we concern with the concept of well-posedness and well-posedness in generalized sense for a system of mixed hemivariational inequality (SMHVI) with perturbations.
Kartikeswar Mahalik, Chandal Nahak
doaj   +1 more source

On the Convergence of (Stochastic) Gradient Descent with Extrapolation for Non-Convex Optimization

, 2019
Extrapolation is a well-known technique for solving convex optimization and variational inequalities and recently attracts some attention for non-convex optimization. Several recent works have empirically shown its success in some machine learning tasks.
Jin, Rong, Xu, Yi, Yang, Sen, Yang, Tianbao, Yuan, Zhuoning   +4 more
core   +1 more source

Deterministic solution of algebraic equations in sentiment analysis. [PDF]

Multimed Tools Appl, 2023
Jalali M, Zahedi M, Basiri A.
europepmc   +1 more source