An approach to elliptic equations with nonlinear gradient terms via a modulation framework
Bulletin of Mathematical Sciences, 2023 We consider a class of nonhomogeneous elliptic equations with fractional Laplacian and nonlinear gradient terms, namely [Formula: see text] in [Formula: see text], where [Formula: see text], [Formula: see text] is the nonlinearity, [Formula: see text ...
Lucas C. F. Ferreira, Wender S. Lagoin
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Exotic cyclic cohomology classes and Lipschitz algebras
, 2023 We study the noncommutative geometry of algebras of Lipschitz continuous and Hölder continuous functions, where nonclassical and novel differential geometric invariants arise.
Goffeng, Magnus, +2 more
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Lipschitz geometry of pairs of normally embedded Hölder triangles [PDF]
, 2022 We consider a special case of the outer bi-Lipschitz classification of real semialgebraic (or, more general, definable in a polynomially bounded o-minimal structure) surface germs, obtained as a union of two normally embedded Hölder triangles.
Gabrielov, Andrei, Birbrair, Lev
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Generalized Differentiability of Continuous Functions
Fractal and Fractional, 2020 Many physical phenomena give rise to mathematical models in terms of fractal, non-differentiable functions. The paper introduces a broad generalization of the derivative in terms of the maximal modulus of continuity of the primitive function.
Dimiter Prodanov
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Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds [PDF]
, 2018 In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hölder–Lipschitz functions to the setting of compact homogeneous manifolds.
DELGADO VALENCIA, JC +5 more
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Directional Hölder Metric Regularity [PDF]
, 2015 This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder /Lipschitz metric regularity, which are based on the concepts of slope and coderivative.
Nguyen, Huu Tron +4 more
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Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces
Axioms, 2013 We introduce and study Clarkson, Dol’nikov-Pichugov, Jacobi and mutual diameter constants reflecting the geometry of a Banach space and Clarkson, Jacobi and Pichugov classes of Banach spaces and their relations with James, self-Jung, Kottman and Schäffer
Sergey Ajiev
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Hölder and Lipschitz Stability of Solution Sets in Programs with Probabilistic Constraints [PDF]
, 2002 We study perturbations of a stochastic program with a probabilistic constraint and $r$-concave original probability distribution. First we improve our earlier results substantially and provide conditions implying Hölder continuity properties of the ...
Henrion, René, Römisch, Werner
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Hölder-type spaces, singular operators, and fixed point theorems
, 2021 In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
López Brito, María Belén +4 more
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Classificação Lipschitz de funções em um triângulo de Hölder [PDF]
, 2023 GOMES, Julio. Classificação Lipschitz de funções em um triângulo de Hölder. Monografia - Curso de Matemática, Instituto De Ciências Exatas E Da Natureza, Universidade da Integração Internacional da Lusofonia Afro-Brasileira, Redenção-Ceará, 2023.Neste ...
Gomes, Julio
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