快速增长低阶项能量积分的局部Lipschitz连续性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2026-12-01 Epub Date: 2026-02-06 DOI:10.1016/j.nonrwa.2026.104623

Andrea Torricelli

引用次数: 0

摘要

考虑快速增长的积分泛函和显式依赖于u的拉格朗日函数。证明了局部极小值是局部Lipschitz连续的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local Lipschitz continuity for energy integrals with fast growth and lower order terms

We consider integral functionals with fast growth and the lagrangian explicitly depending on u. We prove that the local minimizers are locally Lipschitz continuous.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.