Characterization of the subdifferential and minimizers for the anisotropic p-capacity
We obtain existence of minimizers for the p-capacity functional defined with respect to a centrally symmetric anisotropy for 1 < p < ∞, including the case of a crystalline norm in ℝ^N.
Moll, Salvador +2 more
core +1 more source
Variational properties of the abstract subdifferential operator
convexity generalises classical convexity by considering the suprema of functions taken from an arbitrarily defined set of functions. These are called the abstract linear (abstract affine) functions.
Ugon, Julien +2 more
core
Second-order asymptotics of fractional Gagliardo seminorms as s → 1 - and convergence of the associated gradient flows. [PDF]
Kubin A, Pagliari V, Tribuzio A.
europepmc +1 more source
Off-the-grid regularisation for Poisson inverse problems. [PDF]
Lazzaretti M +3 more
europepmc +1 more source
Generalized Legendre Transforms Have Roots in Information Geometry. [PDF]
Nielsen F.
europepmc +1 more source
Evolution problems with perturbed 1-Laplacian type operators on random walk spaces. [PDF]
Górny W, Mazón JM, Toledo J.
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Subdifferential Calculus for the Value Function in Nonconvex Dynamic Optimization in Banach Spaces
This paper explores nonsmooth analysis for infinite-horizon dynamic programming in discrete time without convexity assumptions, exploiting Clarke subdifferentials for locally Lipschitz functions defined on Banach spaces.
SAGARA, Nobusumi
core
Isolated Calmness of Perturbation Mappings and Superlinear Convergence of Newton-Type Methods. [PDF]
Benko M, Mehlitz P.
europepmc +1 more source
A Range Condition for Polyconvex Variational Regularization. [PDF]
Kirisits C, Scherzer O.
europepmc +1 more source
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models. [PDF]
Caffarelli L, Cagnetti F, Figalli A.
europepmc +1 more source

