Results 41 to 50 of about 183 (174)
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
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Vector subdifferentials and tangent cones
Journal of Numerical Analysis and Approximation Theory, 2005 Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function.
Cristina Stamate
doaj +2 more sources
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
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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
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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
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Subdifferentiability of Real Functions
Real Analysis Exchange, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the stochastic horizontal linear complementarity problem (S‐HLCP). By employing a complementarity function, we reformulate the S‐HLCP as an expected residual minimization (ERM) problem. We first establish sufficient conditions based on the R0‐matrix property to ensure the coercivity of the ERM problem.
Jianhua Peng +2 more
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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
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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
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Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
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