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Limiting Convex Examples for Nonconvex Subdifferential Calculus
Nonsmooth analysis subdifferentials coderivatives extremal principle open mapping theorem metric regularity multiplier rules compactly Lipschitzian conditions
2009/1/23
We show, largely using convex examples, that most of the core results for limiting subdifferential calculus fail without additional restrictions in infinite dimensional Banach spaces.
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...
We consider the stability of solutions of variational problems with respect to perturbations of the integrand, raised by S. M. Ulam [A Collection of Mathematical Problems, Interscience, Los Alamos, 1...
Elements of Quasiconvex Subdifferential Calculus
Calculus subdifferential constructed lower subdifferential
2009/1/13
A number of rules for the calculus of subdifferentials of generalized convex functions are displayed. The subdifferentials we use are among the most significant for this class of functions, in particu...
SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
FRACTIONAL CALCULUS OPERATORS ANALYTIC FUNCTIONS NEGATIVE COEFFICIENTS
2010/3/17
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class Tn\left(l,a\right) consisting of analytic and univalent functions with neg...