Results 71 to 80 of about 6,758 (185)

Weakened subdifferentials and Frechet differentiability of real functions [PDF]

Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
core  

A Novel Approach to Thermo‐Mechanically Coupled, Gradient‐Enhanced Damage Modeling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.
ABSTRACT Thermo‐mechanical damage, such as thermal shock, is a common engineering problem. It constitutes a challenging problem that damage and temperature are conversely interacting with each other: Material damage leads to an increase in temperature due to energy dissipation; temperature also influences damage evolution.
Fangrui Liu, Dustin Roman Jantos, Philipp Junker   +2 more
wiley   +1 more source

Existence and multiplicity of solutions for the noncoercive Neumann p-Laplacian

Electronic Journal of Differential Equations, 2010
We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). Using variational techniques based on the smooth critical point theory and the second deformation theorem,
Nikolaos S. Papageorgiou, Eugenio M. Rocha   +1 more
doaj  

Toward stochastic imperfect interfaces

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 4, April 2025.
Abstract In this article, we propose two families of models for damaged materials that take uncertainties into account. First, in the context of standard materials, two volume models are proposed. Uncertainties are introduced using the Itô integral. Second, two interface models are proposed. For this, a technique of asymptotic developments is proposed,
Caroline Bauzet, Serge Dumont, Frédéric Lebon, Flore Nabet   +3 more
wiley   +1 more source

Nonlinear Second Order Scalar Differential Inclusion Involving a Singular Φ−Laplacian Operator, With Nonlinear General Boundary Conditions

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this paper, we study the following second order scalar differential inclusion: bzxΦz′x′∈Azx+Gx,zx,z′x a.e on Λ=0,α under nonlinear general boundary conditions incorporating a large number of boundary problems including Dirichlet, Neumann, Neumann–Steklov, Sturm–Liouville, and periodic problems.
Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli, Patricia J. Y. Wong   +3 more
wiley   +1 more source

Generalized Vector Variational-Like Inequalities

Journal of Mathematical Extension, 2010
In this paper, we consider different types of generalized vector variational-like inequalities and study the relationships between their solutions.
M. Rezaei, H. Gazor
doaj  

Advanced Stability Analysis of Regularized Newton Methods for Monotone Inclusions With Bounded Variation

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This paper presents a comprehensive stability analysis of regularized Newton methods for solving monotone inclusion problems of the form 0 ∈ A(x) + F(x), where A is a maximal monotone operator and F is a Lipschitz continuous operator with bounded variation.
Boushra Abbas, Anwarud Din
wiley   +1 more source

Dirichlet μ-Parametric Differential Problem with Multivalued Reaction Term

Mathematics
We study a Dirichlet μ-parametric differential problem driven by a variable competing exponent operator, given by the sum of a negative p-Laplace differential operator and a positive q-Laplace differential operator, with a multivalued reaction term in ...
Mina Ghasemi, Calogero Vetro, Zhenfeng Zhang   +2 more
doaj   +1 more source

A Relaxed Version of the Cutting Method with Approximation of the Constraint Region

Учёные записки Казанского университета: Серия Физико-математические науки
A cutting method was proposed for solving the convex programming problem. The method assumes that the constraint region of the problem is embedded into some polyhedral sets for constructing iteration points.
I. Ya. Zabotin, O. N. Shulgina, R. S. Yarullin   +2 more
doaj   +1 more source

Even convexity, subdifferentiability, and Γ-regularization in general topological vector spaces

Journal of Mathematical Analysis and Applications, 2015
MICINN of Spain, Grant MTM2011-29064-C03-02.
Vicente-Pérez, José, Volle, Michel
openaire   +2 more sources