Proto-Derivatives of Partial Subgradient Mappings     Variational analysis  subgradient mappings  proto-derivatives  second-order epi-derivatives  amenable functions  piecewise-$C^2$ functions  nonsmooth analysis       font style='font-size:12px;'> 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...

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Non-Coercive Variational Problems with Constraints on the Derivatives      Non-Coercive Variational Problems  Derivatives  Constraints       font style='font-size:12px;'> 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)=...

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Variational Problems with Pointwise Constraints on the Derivatives      Variational problems  Topological methods  Pointwise constraints on the laplacian  Nonsmooth analysis  Subgradients       font style='font-size:12px;'> 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...

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Normal Families and Uniqueness of Entire Functions and Their Derivatives     entire function    normal family    unicity theorem         font style='font-size:12px;'> 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...

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