Results 151 to 160 of about 336 (182)

Lower semicontinuity in domain optimization problems

Journal of Optimization Theory and Applications, 1988
In the present paper, lower semicontinuity of certain classes of functionals is studied when the domain of integration, which defines the functionals, is not fixed. For this purpose, a certain class of domains introduced by \textit{D. Chenais} [J. Math. Anal. Appl. 52, 189-219 (1975; Zbl 0317.49005)] is employed.
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A characterization of lower semicontinuity

1996
Let \(\Omega\) be a bounded open set and \(f_0,f_1,\dots,f_k,\dots\) be measurable extended real functions on \(\Omega\) such that \(\{f^-_k\}\subseteq L^1(\Omega)\), then the authors say that the sequence \(\{f_k\}_{k\geq 0}\) satisfies the lower mean value condition at a point \(x_0\in\Omega\) if there exists a null set \(H=H(x_0)\subseteq]0,+\infty[\
BRANDI, Primo, SALVADORI, Anna
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Lower semicontinuity of surface energies

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1992
SynopsisUsing the theory of indicator measures, a lower semicontinuity result for quasiconvex functions in W1,1 and assuming only L1 convergence is obtained.
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Lower Semicontinuity

2023
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On \(L^1\)-lower semicontinuity in \(BV\)

2005
The authors prove a lower semicontinuity for the \(BV\) extension of the functional defined in \(W^{1,1}(\Omega)\) \[ \int_\Omega f(x,u(x),\nabla u(x))dx, \] where the energy density \(f\) is not coercive. Here \(\Omega\) denotes an open subset of \({\mathbb R}^N\) and \(f\) is a Caratheodory function with \(f(\cdot,u,\xi)\) weakly differentiable in \(\
V. DE CICCO, FUSCO, NICOLA, VERDE, ANNA
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Variations on lower semicontinuity

1993
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Lower Semicontinuous Increasing Functionals

1993
In this chapter we study some properties of the functionals F(x,A) which are lower semicontinuous with respect to x and increasing with respect to A.
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Upper and lower semicontinuity

2020
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Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals

Nonlinear Analysis: Theory, Methods & Applications, 1987
Erik J Balder
exaly  

Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

Journal of Mathematical Analysis and Applications, 2001
Eugenio Montefusco
exaly