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Are maximizers of a Lipschitz functions similar to those of its extension?

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#real-analysis #optimization #lebesgue-measure #lipschitz-functions #geometric-measure-theory
50
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Global solutions for an ODE

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#real-analysis #ordinary-differential-equations #solution-verification #lipschitz-functions #cauchy-problem
178
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Equivalence of minimization problems for Lipschitz function

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#real-analysis #optimization #convex-optimization #nonlinear-optimization #lipschitz-functions
207
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Lipschitz-continuity of matrix-valued function

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#real-analysis #matrix-calculus #lipschitz-functions
24
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Lipschitz continuity of a certain function

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#convex-analysis #lipschitz-functions #cauchy-schwarz-inequality #triangle-inequality
210
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Is Moreau-Yosida regularisation Lipschitz continuous?

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#convex-analysis #lipschitz-functions #regularization
87
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Density of $\{ u \in \mathcal{C}_{0}^{\infty}(\mathbb{R}^n) \: : \: | \nabla u | \le 1 \}$ in $\operatorname{Lip}_{1}(\mathbb{R}^n)$

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#real-analysis #functional-analysis #lipschitz-functions
2.7k
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Lipschitz implies bounded gradient with any norm?

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#real-analysis #derivatives #lipschitz-functions
73
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Lifespan estimate for system of ODEs

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#ordinary-differential-equations #lipschitz-functions #online-resources
130
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How to show Lipschitz gradient of Norm doesn't exist

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#convex-optimization #lipschitz-functions
99
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Lipschitz constant estimation of continuous selection of upper hemicontinuous multivalued function

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#lipschitz-functions #multivalued-functions #set-valued-analysis
66
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$ u(x) = g(x) + \int_0^x f(x,t, u(t)) dt $

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#ordinary-differential-equations #fixed-point-theorems #lipschitz-functions
224
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Do Lipschitz convex functions have at least one "small" subgradient at each point?

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#optimization #convex-optimization #nonlinear-optimization #lipschitz-functions #subgradient
482
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Is the image of this function open?

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#real-analysis #calculus #multivariable-calculus #lipschitz-functions
71
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ODE - existence and uniqueness of a solution

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#ordinary-differential-equations #lipschitz-functions

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