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| 1 | Regularity for solutions to anisotropic obstacle problems显示文摘For Ω a bounded subset of R n,n 2,ψ any function in Ω with values in R∪{±∞}andθ∈W1,(q i)(Ω),let K(q i)ψ,θ(Ω)={v∈W1,(q i)(Ω):vψ,a.e.and v-θ∈W1,(q i)0(Ω}.This paper deals with solutions to K(q i)ψ,θ-obstacle problems for the A-harmonic equation-divA(x,u(x),u(x))=-divf(x)as well as the integral functional I(u;Ω)=Ωf(x,u(x),u(x))dx.Local regularity and local boundedness results are obtained under some coercive and controllable growth conditions on the operator A and some growth conditions on the integrand f. | GAO HongYa | 2014 | Science China Mathematics2014，57，1： | 4 |
| 2 | Size and elemental composition of dry-deposited particles during a severe dust storm at a coastal site of Eastern China显示文摘Dry-deposited particles were collected during the passage of an extremely strong dust storm in March, 2010 at a coastal site in Qingdao(36.15°N, 120.49°E), a city located in Eastern China. The size, morphology, and elemental composition of the particles were quantified with a scanning electron microscope equipped with an energy dispersive X-ray instrument(SEM–EDX). The particles appeared in various shapes, and their size mainly varied from 0.4to 10 μm, with the mean diameters of 0.5, 1.5, and 1.0 μm before, during, and after the dust storm, respectively. The critical size of the mineral particles settling on the surface in the current case was about 0.3–0.4 μm before the dust storm and about 0.5–0.7 μm during the dust storm. Particles that appeared in high concentration but were smaller than the critical size deposited onto the surface at a small number flux. The elements Al, Si and Mg were frequently detected in all samples, indicating the dominance of mineral particles. The frequency of Al in particles collected before the dust storm was significantly lower than for those collected during and after the dust storm. The frequencies of Cl and Fe did not show obvious changes, while those of S, K and Ca decreased after the dust arrival. These results indicate that the dust particles deposited onto the surface were less influenced by anthropogenic pollutants in terms of particle number. | Hongya Niu Daizhou Zhang Wei Hu Jinhui Shi Ruipeng Li Huiwang Gao Wei Pian Min Hu | 2016 | Journal of Environmental Sciences2016，28，2： | 4 |
| 3 | Magnetic properties and magnetocaloric effects in amorphous and crystalline Gd_(55)Co_(35)Ni_(10) ribbons显示文摘The magnetic properties and magnetocaloric effects of amorphous and crystalline Gd55Co35Ni10 ribbons are investigated.A main phase with a Ho 12 Co 7-type monoclinic structure(space group P21/c) and a minor phase with a Ho4Co3-type hexagonal structure(space group P63/m) are obtained for crystalline ribbon after annealing.The amorphous ribbons order ferromagnetically and undergo a second-order transition at 192 K.For crystalline Gd55Co35Ni10 ribbons,two magnetic phase transitions occur at 158 and 214 K,respectively.The peak value of-△SM under a field change of 0-5 T is 6.5 J/kg K at 192 K for amorphous Gd55Co35Ni10 ribbons.A relatively large magnetic entropy change(~5.0 J/kg K) under a field change of 0-5 T for the crystalline Gd55Co35Ni10 ribbons is obtained in the temperature interval range of 154-214 K.The large platform of magnetic entropy change and the negligible thermal/magnetic hysteresis loss mean the crystalline Gd55Co35Ni10 compound can satisfy the requirement of the Ericsson-type refrigerator working in the temperature range from 154K to 214K. | ZHONG XiChun TANG PengFei GAO BeiBei MIN JiXiong LIU ZhongWu ZHENG ZhiGang ZENG DeChang YU HongYa QIU WanQi | 2013 | Science China(Physics,Mechanics & Astronomy)2013，56，6： | 3 |
| 4 | EXTREMUM PRINCIPLE FOR VERY WEAK SOLUTIONS OF A-HARMONIC EQUATION显示文摘 | Gao Hongya Li Juan Deng Yanjun | 2005 | Journal of Partial Differential Equations2005，18，3： | 2 |
| 5 | Fractal Design Boosts Extrusion-Based 3D Printing of Bone-Mimicking Radial-Gradient Scaffolds显示文摘Although extrusion-based three-dimensional(EB-3D)printing technique has been widely used in the complex fabrication of bone tissue-engineered scaffolds,a natural bone-like radial-gradient scaffold by this processing method is of huge challenge and still unmet.Inspired by a typical fractal structure of Koch snowflake,for the first time,a fractal-like porous scaffold with a controllable hierarchical gradient in the radial direction is presented via fractal design and then implemented by EB-3D printing.This radial-gradient structure successfully mimics the radially gradual decrease in porosity of natural bone from cancellous bone to cortical bone.First,we create a design-to-fabrication workflow with embedding the graded data on basis of fractal design into digital processing to instruct the extrusion process of fractal-like scaffolds.Further,by a combination of suitable extruded inks,a series of bone-mimicking scaffolds with a 3-iteration fractal-like structure are fabricated to demonstrate their superiority,including radial porosity,mechanical property,and permeability.This study showcases a robust strategy to overcome the limitations of conventional EB-3D printers for the design and fabrication of functionally graded scaffolds,showing great potential in bone tissue engineering. | Huawei Qu Zhenyu Han Zhigang Chen Lan Tang Chongjian Gao Kaizheng Liu Haobo Pan Hongya Fu Changshun Ruan | 2021 | Research2021，，1： | 2 |
| 6 | Caccioppoli type inequality for weak solutions of A-harmonic equation and its applications显示文摘 | GAO Hongya CHEN Yanmin | 2004 | Kyungpook Math J2004，44，： | 1 |
| 7 | The optimal convex combination bounds of eontraharmonic and arithmetic means for the sec- ond Seiffert mean显示文摘 | GAO Hongya QIN Yanli | 2012 | Antarctica Journal of Mathematics2012，9，7： | 1 |
| 8 | WT classes of differential forms on Riemannian manifolds显示文摘 | GAO Hongya GU Zhihua CHU Yuming | 2008 | International Jour of Pure and Appl Math2008，48，1： | 1 |
| 9 | Weighted integral inequalities for conjugate A-harmonic tensors显示文摘 | Gao Hongya | 2003 | Math Anal Appl2003，281，1： | 1 |
| 10 | Weighted integral inequalities for conjugate A-harmonic tensors显示文摘 | GAO HONGYA | 2003 | Math Anal Appl2003，281，1： | 1 |
| 11 | Uniqueness for very weak solutions of -harmonic equation with very weak boundary values 显示文摘 | GAO HONGYA YE YUQUAN XIE SUYING | 2002 | Acta Math Sci2002，22，1： | 1 |
| 12 | Local regularity result for solutions of obstacle problems 显示文摘 | Gao Hongya Tian Huiying | 2004 | Math Acta (B)2004，24，1： | 1 |
| 13 | Uniqueness for very weak solutions of Aharmonic equations with very weak boundary values显示文摘 | HONGYA GAO YUQUAN YE SUYING XIE | 2002 | Acta Mathematica Scientia B2002，22，1： | 1 |
| 14 | On weakly quasiregualr mappings in high dimensions显示文摘 | HONGYA GAO | 2002 | Radovi Metematicki2002，11，： | 1 |
| 15 | Caccioppoli type inequality for weak solutions of A-harmonic equation and its applications显示文摘 | GAO HONGYA CHEN YINZHU | 2004 | Kyungpook Math J2004，44，4： | 1 |
| 16 | Weighted integral inequalities for conjugate A-harmonic tensors显示文摘 | GAO HONGYA | 2003 | J Math Anal Appl2003，281，1： | 1 |
| 17 | The MYB Transcription Factor Superfamily of Arabidopsis: Expression Analysis and Phylogenetic Comparison with the Rice MYB Family显示文摘 | Chen Yanhui Yang Xiaoyuan He Kun Liu Meihua Li Jigang Gao Zhaofeng Lin Zhiqiang Zhang Yunfei Wang Xiaoxiao Qiu Xiaoming Shen Yunping Zhang Li Deng Xiaohui Luo Jingchu Deng Xing-Wang Chen Zhangliang Gu Hongya Qu Li-Jia | 2006 | Plant Molecular Biology2006，，1： | 1 |
| 18 | Regularity for anisotropic solutions to some nonlinear elliptic system显示文摘这份报纸处理各向异性的答案\( u \in W ^{ 1 ,( p_i )}( 非线性的椭圆形的系统$$mega , \mathbb { R }^ N )\)到-\sum\limits_{ i = 1 }^ n { D_i ( a_i ^ \alpha ( x ,杜(x)))}=-\sum\limits_{ i = 1 }^ n { D_i F_i ^ \alpha (x)}, \alpha = 1,2 ,...,N$$。我们在场为矩阵 \ 的 monotonicity 不平等(=(a_i ^\alpha )\in \mathbb { R }^{ N \times n }\) ,它为各向异性的答案 u 保证全球 pointwise 界限。 | Hongya GAO Shuang LIANG Yi CUI | 2016 | Frontiers of Mathematics in China2016，11，1： | 1 |
| 19 | Local regularity result in obstacle problems显示文摘 | GAO Hongya GUO Jing ZUO Yali | 2010 | Acta Math Sci2010，30，1： | 1 |
| 20 | Local regularity and local boundedness results for very weak solutions of ob- stacle problems显示文摘 | GAO Hongya QIAO Jinjing CHU Yuming | 2010 | J Ineq Appl2010，，87： | 1 |
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