Research Article Holder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

S. Bonafede; V. Cataldo; S. DAsero

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Research Article Holder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

机译：具有退化被积数的某些积分泛函的研究文章持有人的连续性，直到最小化子的边界

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We study qualitative properties ofminimizers for a class of integral functionals, defined in a weighted space. In particular we obtain Holder regularity up to the boundary for the minimizers of an integral functional of high order by using an interior local regularity result and a modified Moser method with special test function.

机译：我们研究了在加权空间中定义的一类积分泛函的最小化器的定性性质。特别地，我们通过使用内部局部正则结果和具有特殊测试功能的改进的Moser方法，获得了高阶积分泛函的极小值的边界处的Holder正则。

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《Journal of applied mathematics and stochastic analysis: J.A.M.S.A》 |2007年第2期|共14页
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S. Bonafede; V. Cataldo; S. DAsero;
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正文语种 eng
中图分类应用数学;
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1. Research Article Holder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands [J] . S. Bonafede, V. Cataldo, S. DAsero Journal of applied mathematics and stochastic analysis: J.A.M.S.A . 2007,第2期

机译：具有退化被积数的某些积分泛函的研究文章持有人的连续性，直到最小化子的边界
2. Research Article Holder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands [J] . S. Bonafede, V. Cataldo, S. DAsero Journal of applied mathematics and stochastic analysis: J.A.M.S.A . 2007,第2期

机译：具有退化被积数的某些积分泛函的研究文章持有人的连续性，直到最小化子的边界
3. H?lder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands [J] . S.Bonafede, V.Cataldo, S.DAsero International journal of stochastic analysis . 2007,第3期

机译：具有退化被积数的某些积分泛函的Hilder连续性直至最小化子的边界
4. Conversion of singular surface integrals for to line integrals with nonsingular integrands for non-planar configurations of RWG basis functions [C] . Elizabeth Bleszynski, Marek Bleszynski, Thomas Jaroszewicz 2017 International Applied Computational Electromagnetics Society Symposium – Italy . 2017

机译：对于RWG基函数的非平面配置，将奇异表面积分转换为具有非奇异积分的线积分
5. REGULARITY FOR A CLASS OF PARAMETRIC OBSTACLE PROBLEMS (INTEGRAND, INTEGRAL CURRENT, PRESCRIBED MEAN CURVATURE, MINIMAL SURFACE SYSTEM). [D] . LIN, FANG-HUA. 1985

机译：一类参数障碍问题（积分，积分电流，规定的平均曲率，最小曲面系统）的规律性。
6. A Kernel-free Boundary Integral Method for Elliptic Boundary Value Problems [O] . Wenjun Ying, Craig S. Henriquez -1

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7. On the Г-compactness of integral functionals with degenerate locally Lipschitz integrands and varying domains of definition [O] . Kovalevsky A.A., Rudakova O.A. 2012

机译：具有局部退化的Lipschitz被积和不同定义域的整数泛函的Г-紧致性

Research Article Holder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

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