具有非标准增长的积分函数的先验有界最小化的 Lipschitz 正则性

IF 1 3区数学 Q1 MATHEMATICS

Potential Analysis Pub Date : 2024-05-28 DOI:10.1007/s11118-024-10146-4

Michela Eleuteri, Antonia Passarelli di Napoli

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引用次数: 0

摘要

我们建立了满足非标准增长条件的非自治能量密度积分函数的先验有界局部最小值的 Lipschitz 正则性，其条件是增长与椭圆性指数之间的差距，这让人想起 [16] 中发现的尖锐约束。

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Lipschitz Regularity for a Priori Bounded Minimizers of Integral Functionals with Nonstandard Growth

We establish the Lipschitz regularity of the a priori bounded local minimizers of integral functionals with non autonomous energy densities satisfying non standard growth conditions under a bound on the gap between the growth and the ellipticity exponent that is reminiscent of the sharp bound already found in [16].

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来源期刊

Potential Analysis 数学-数学

CiteScore

2.20

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original papers dealing with potential theory and its applications, probability theory, geometry and functional analysis and in particular estimations of the solutions of elliptic and parabolic equations; analysis of semi-groups, resolvent kernels, harmonic spaces and Dirichlet forms; Markov processes, Markov kernels, stochastic differential equations, diffusion processes and Levy processes; analysis of diffusions, heat kernels and resolvent kernels on fractals; infinite dimensional analysis, Gaussian analysis, analysis of infinite particle systems, of interacting particle systems, of Gibbs measures, of path and loop spaces; connections with global geometry, linear and non-linear analysis on Riemannian manifolds, Lie groups, graphs, and other geometric structures; non-linear or semilinear generalizations of elliptic or parabolic equations and operators; harmonic analysis, ergodic theory, dynamical systems; boundary value problems, Martin boundaries, Poisson boundaries, etc.