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Proto-Derivatives of Partial Subgradient Mappings
Variational analysis subgradient mappings proto-derivatives second-order epi-derivatives amenable functions piecewise-$C^2$ functions nonsmooth analysis
2009/2/5
Partial subgradient mappings have a key role in the sensitivity analysis of first-order conditions for optimality, and their generalized derivatives are especially important in that respect. It is k...
Non-Coercive Variational Problems with Constraints on the Derivatives
Non-Coercive Variational Problems Derivatives Constraints
2009/1/22
We establish a necessary and sufficient condition for the existence of the minimum of the functional $\dis{\int_0^1} f(t,v^\prime(t))dt$ in the class ${\cal W}_d^p=\{v\in W^{1,p}([0,1]): v(0)=0, v(1)=...
Variational Problems with Pointwise Constraints on the Derivatives
Variational problems Topological methods Pointwise constraints on the laplacian Nonsmooth analysis Subgradients
2009/1/22
This paper is concerned with the solvability of a class of nonlinear variational inequalities involving pointwise unilateral constraints on the laplacian. We describe the set of the pairs $(\psi,h)$ o...
Normal Families and Uniqueness of Entire Functions and Their Derivatives
entire function normal family unicity theorem
2007/12/10
Let $f$ be a nonconstant entire function; let $k\ge 2$ be a positive integer; and let $a$ be a nonzero complex number. If $f(z)=a$ $\Longrightarrow $ $f'(z)=a$, and $f'(z)=a$ $\Longrightarrow $ $f^{(k...