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THE EXISTENCE AND BLOW-UP OF THE RADIAL SOLUTIONS OF A(k_(1),k_(2))-HESSIAN SYSTEM INVOLVING A nonlinear operator AND GRADIENT

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Acta Mathematica Scientia 2022年第4期42卷 1414-1426页

作者：王国涛杨泽栋徐家发张丽红 School of Mathematics and Computer Science Shanxi Normal UniversityTaiyuan 030031China School of Mathematical Sciences Chongqing Normal UniversityChongqing 401331China

In this paper,we are concerned with the existence of the positive bounded and blow-up radial solutions of the(k1,k2)-Hessian system■where G is a nonlinear operator,Ki=Ski(λ(D^(2) z_(i)))+ψ_(i)(|x|)|▽_(zi)|^(ki),i=1,2.Under the appropriate conditions on gi and g2,our main results are obtained by using the monotone iterative method and the Arzela-Ascoli theorem.Furthermore,our main results also extend the previous existence results for both the single equation and systems.

关键词： (k_(1),k_(2))-Hessian system nonlinear operator blow-up monotone iterative method gradient

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Furi-Martelli-Vignoli spectrum and Feng spectrum of nonlinear block operator matrices

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Chinese Physics B 2021年第4期30卷 130-138页

作者：董小梅吴德玉陈阿拉坦仓 School of Mathematical Sciences Inner Mongolia UniversityHohhot 010021China Inner Mongolia Normal University Hohhot 010021China

We investigate the Furi-Martelli-Vignoli spectrum and the Feng spectrum of continuous nonlinear block operator matrices,and mainly describe the relationship between the Furi-Martelli-Vignoli spectrum(compared to the Feng spectrum)of the whole operator matrix and that of its entries.In addition,the connection between the Furi-Martelli-Vignoli spectrum of the whole operator matrix and that of its Schur complement is presented by means of Schur decomposition.

关键词： nonlinear operator spectrum block operator matrix

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Asymptotic Study of a Boundary Value Problem Governed by the Elasticity operator with nonlinear Term

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Advances in Applied Mathematics and Mechanics 2014年第2期6卷 191-202页

作者： D.Benterki H.Benseridi M.Dilmi Applied Mathematics Laboratory BB-University34000Algeria Applied Mathematics Laboratory Department of MathematicsSetif I-University19000Algeria Applied Mathematics Laboratory Department of MathematicsM’sila University28000Algeria

In this paper,a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered.The small change of variable z=x3/εtransforms the initial problem posed in the domainΩεinto a new problem posed on a fixed domainΩindependent of the parameterε.As a main result,we obtain some estimates independent of the small parameter.The passage to the limit onε,permits to prove the results concerning the limit of the weak problem and its uniqueness.

关键词： A priori inequalities free boundary problems nonlinear operator Tresca law variational problem.

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nonlinear Adaptive Wavelet Transform for Lossless Image Compression

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Wuhan University Journal of Natural Sciences 2007年第2期12卷 267-270页

作者： ZHANG Dong YANG Yan QIN Qianqing School of Physics and Technology Wuhan UniversityWuhan 430072 Hubei China State Key Laboratory of Information Engineering in Surveying Mapping and Remote Sensing Wuhan University Wuhan 430079 Hubei China National Engineering Research Center for Multimedia Software Wuhan University Wuhan 430079 Hubei China

The paper presents a class of nonlinear adaptive wavelet transforms for lossless image compression. In update step of the lifting the different operators are chosen by the local gradient of original image. A nonlinear morphological predictor follows the update adaptive lifting to result in fewer large wavelet coefficients near edges for reducing coding. The nonlinear adaptive wavelet transforms can also allow perfect reconstruction without any overhead cost. Experiment results are given to show lower entropy of the adaptive transformed images than those of the non-adaptive case and great applicable potentiality in lossless image compresslon.

关键词： adaptive wavelets lifting scheme nonlinear operator morphological predictor image compression

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