H?lder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

S.Bonafede; V.Cataldo; S.DAsero

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H?lder 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Hilder连续性直至最小化子的边界

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We study qualitative properties of minimizers for a class of integral functionals, defined in a weighted space. In particular we obtain H?lder 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：我们研究在加权空间中定义的一类积分泛函的极小化子的定性性质。特别是，我们通过使用内部局部规则性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Hderder规则性。

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《International journal of stochastic analysis》 |2007年第3期|共14页
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S.Bonafede; V.Cataldo; S.DAsero;
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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. ON THE BOUNDEDNESS OF MINIMIZERS OF SOME INTEGRAL FUNCTIONALS WITH DEGENERATE ANISOTROPIC INTEGRANDS [J] . Bonafede S. The Rocky Mountain journal of mathematics . 2018,第6期

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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

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6. The Hölder continuity of spectral measures of an extended CMV matrix [O] . Paul E. Munger, Darren C. Ong, a) -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

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H?lder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

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