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Regularized gap functions for variational problems
Operations Research Letters, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1998
In this chapter we deal with variational integrals $$F(u,\Omega ): = \int\limits_\Omega {f(x,u(x),Du(x))dx} $$ (1) defined on smooth maps u:Ω ⊂ ℝ n → ℝ N , which are regular, i.e., such that $$F({\text{u}},\Omega ) \geqslant v{H^n}({g_u}_{,\Omega })v > 0$$ for all admissible u. Our goal is to find weak minimizers in suitable classes by
Mariano Giaquinta +2 more
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In this chapter we deal with variational integrals $$F(u,\Omega ): = \int\limits_\Omega {f(x,u(x),Du(x))dx} $$ (1) defined on smooth maps u:Ω ⊂ ℝ n → ℝ N , which are regular, i.e., such that $$F({\text{u}},\Omega ) \geqslant v{H^n}({g_u}_{,\Omega })v > 0$$ for all admissible u. Our goal is to find weak minimizers in suitable classes by
Mariano Giaquinta +2 more
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Some Regular and Non Regular Variational Problems
1998In this chapter we shall extend some of the methods and results of Ch. 4 to more general situations. In Sec. 5.1 we deal with Oseen-Frank energy for liquid crystals developing a theory which parallels the ones for harmonic maps from B 3 into S 2. Less complete is the theory for energy minimizing maps from a generic manifold X into S 2 and from a 2 ...
Mariano Giaquinta +2 more
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On the regularity of the solution of a variational inequality
Communications on Pure and Applied Mathematics, 1969Lewy, Hans, Stampacchia, G.
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Better than the Total Variation Regularization
International Journal of Biomedical Research & PracticeThe total variation (TV) regularization is popular in iterative image reconstruction when the piecewise-constant nature of the image is encouraged. As a matter of fact, the TV regularization is not strong enough to enforce the piecewise- constant appearance.
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General regular variation, Popa groups and quantifier weakening
Journal of Mathematical Analysis and Applications, 2020A J Ostaszewski
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Hidden Regular Variation and Detection of Hidden Risks
Stochastic Models, 2011Abhimanyu Mitra, Sidney I Resnick
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Regularly varying measures on metric spaces: Hidden regular variation and hidden jumps
Probability Surveys, 2014Filip Lindskog, Sidney I Resnick
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The Steinhaus theorem and regular variation: de Bruijn and after
Indagationes Mathematicae, 2013A J Ostaszewski
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The Index Theorem of topological regular variation and its applications
Journal of Mathematical Analysis and Applications, 2009A J Ostaszewski
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