Results 51 to 60 of about 810 (214)
Toward Dynamic Phase‐Field Fracture at Finite Strains
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT We investigate the evolution of dynamic phase‐field fracture in the finite‐strain setting, extending our previous work in the small‐strain viscoelastodynamic regime. The elastodynamic equations are coupled with a dissipative damage evolution for the phase‐field variable z$z$.
Sven Tornquist +4 more
wiley +1 more source
Generalized Euler identity for subdifferentials of homogeneous functions and applications
, 2008 In this paper, we mainly consider subdifferentials and basic subdifferentials of homogeneous functions defined on real Banach space and Asplund space respectively, and obtain the generalized Euler identity.
Wei, Zhou, Yang, Fuchun
core +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Inequalities and counterexamples for functional intrinsic volumes and beyond
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
Subdifferentials of convex-along-rays functions
, 2007 We examine the existence of global subdifferentials for convex-along-rays (CAR) functions defined on En with respect to sets of min-type elementary functions.
Sharikov, Evgenii, Rubinov, Alex
core +1 more source
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This paper investigates the application of β‐open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β‐open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen sets by Levine (1963).
Boushra Abbas, Simeon Reich
wiley +1 more source
On generalized conjugations and subdifferentials in abstract convex analysis
, 2009 We generalize the notion of a duality Delta : U -> V, where U and V are two complete lattices, to arbitrary partially ordered sets U and V. Then we consider abstract subdifferentials corresponding to such type of dualities and formulate conditions for ...
Sharikov, Evgeny
core +1 more source
Subdifferentiability of Real Functions
Real Analysis Exchange, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Optimality Conditions Characterizing Approximate Solutions for DC Composite Programs
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper concerns DC composite optimization problems with conic constraints. By virtue of epigraph of conjugate functions, we introduce some new regularity conditions. Under the new regularity conditions, we give some necessary optimality conditions for ε‐optimal solutions, global optimal solutions, and local optimal solutions by using the ε ...
Gang Li, Qiqiong Chen, Smritijit Sen
wiley +1 more source
Saddle Points of Partial Augmented Lagrangian Functions
Mathematical and Computational ApplicationsIn this paper, we study a class of optimization problems with separable constraint structures, characterized by a combination of convex and nonconvex constraints.
Longfei Huang +3 more
doaj +1 more source