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Displaying 1 – 20 of 46

On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth

Candela, Anna Maria, Squassina, Marco (2003)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear phenomena” (COFIN 2001)....

On a convolution operation obtained by adding level sets : classical and new results

A. Seeger, M. Volle (1995)

RAIRO - Operations Research - Recherche Opérationnelle

On a Variational Approach to some Quasilinear Problems

Canino, Annamaria (1996)

Serdica Mathematical Journal

We prove some multiplicity results concerning quasilinear elliptic equations with natural growth conditions. Techniques of nonsmooth critical point theory are employed.

On differentiability with respect to parameters of the Lebesgue integral.

Lupulescu, Vasile (2002)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On distribution functions of the derivatives of weakly differentiable mappings

Victor J. Mizel (1994)

Annales de l'I.H.P. Analyse non linéaire

On generalized derivatives for $C^{1, 1}$ vector optimization problems.

La Torre, Davide (2003)

Journal of Applied Mathematics

On generalized differential quotients of set-valued maps.

Girejko, E. (2005)

Rendiconti del Seminario Matematico

On generalized monotone multifunctions with applications to optimality conditions in generalized convex programming.

Hassouni, A., Jaddar, A. (2003)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

On Hammerstein equations with natural growth conditions.

Moroz, V., Zabreiko, P. (1999)

Zeitschrift für Analysis und ihre Anwendungen

On infinitesimally optimal paths.

Kusraev, A.G., Kutateladze, S.S. (2004)

Sibirskij Matematicheskij Zhurnal

On necessary optimality conditions in a class of optimization problems

Jiří V. Outrata (1989)

Aplikace matematiky

In the paper necessary optimality conditions are derived for the minimization of a locally Lipschitz objective with respect to the consttraints $x \in S, 0 \in F (x)$ , where $S$ is a closed set and $F$ is a set-valued map. No convexity requirements are imposed on $F$ . The conditions are applied to a generalized mathematical programming problem and to an abstract finite-dimensional optimal control problem.

On Neumann hemivariational inequalities.

Nikolaos, Halidias (2002)

Abstract and Applied Analysis

On nonconvex subdifferential calculus in Banach spaces.

Mordukhovich, Boris S., Shao, Yongheng (1995)

Journal of Convex Analysis

On reduced pairs of bounded closed convex sets.

Jerzy Grzybowski, Ryszard Urbanski (2003)

Revista Matemática Complutense

In this paper certain criteria for reduced pairs of bounded closed convex set are presented. Some examples of reduced and not reduced pairs are enclosed.

On relations among the generalized second-order directional derivatives

Karel Pastor (2001)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In the paper, we deal with the relations among several generalized second-order directional derivatives. The results partially solve the problem which of the second-order optimality conditions is more useful.

On robustness of the regularity property of maps

Alexander Ioffe (2003)

Control and Cybernetics

On second–order Taylor expansion of critical values

Stephan Bütikofer, Diethard Klatte, Bernd Kummer (2010)

Kybernetika

Studying a critical value function $ϕ$ in parametric nonlinear programming, we recall conditions guaranteeing that $ϕ$ is a $C^{1, 1}$ function and derive second order Taylor expansion formulas including second-order terms in the form of certain generalized derivatives of $D ϕ$ . Several specializations and applications are discussed. These results are understood as supplements to the well–developed theory of first- and second-order directional differentiability of the optimal value function in parametric optimization....

On sets of non-differentiability of Lipschitz and convex functions

Luděk Zajíček (2007)

Mathematica Bohemica

We observe that each set from the system $\tilde{𝒜}$ (or even $\tilde{𝒞}$ ) is $Γ$ -null; consequently, the version of Rademacher’s theorem (on Gâteaux differentiability of Lipschitz functions on separable Banach spaces) proved by D. Preiss and the author is stronger than that proved by D. Preiss and J. Lindenstrauss. Further, we show that the set of non-differentiability points of a convex function on $ℝ^{n}$ is $σ$ -strongly lower porous. A discussion concerning sets of Fréchet non-differentiability points of continuous convex...

On singular arcs in nonsmooth optimal control

Hans Oberle, Ricki Rosendahl (2008)

Control and Cybernetics

On some properties of Lipschitz mappings of the real line into a normed space.

Ponomarev, Stanislav, Turowska, Małgorzata (2009)

Sibirskij Matematicheskij Zhurnal

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