Local Boundedness for Very Weak Solutions of Leray-Lions Equation

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Abstract:

The local boundedness of very weak solution of Leray-Lions equation is given in this paper by Hodge decomposition methods.

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Periodical:

Advanced Materials Research (Volumes 457-458)

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210-213

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January 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] Hongya Gao, Yuquan Ye, and Suying Xie: On very weak solutions of A-harmonic equations with very weak boundary values, Acta Mathematica of Scientia, 2002, 22(1), 41-46.

DOI: 10.1016/s0252-9602(17)30453-8

Google Scholar

[2] T. Iwaniec, and C. Sbordone: Weak minima of variational integrals, J Reine Angew Math, 1994, 454: 143-161.

Google Scholar

[3] Hongya Gao, Jinjing Qiao, and Yuming Chu: Local Regularity and Local Boundedness Results for Very Weak Solutions of Obstacle Problems, Journal of Inequalities and Applications, vol. 2010, Article ID 878769, 12 pages, 2010. doi: 10. 1155/2010/878769.

DOI: 10.1155/2010/878769

Google Scholar

[4] T. Iwaniec: p-harmonic tensor and quasi-regular mappings, Ann. Math., 136 (1992), 589-624.

Google Scholar

[5] J. Lewis: On very weak solutions of certain elliptic systems, Part. Diff. Equ., 18 (1993), 1515-1537.

Google Scholar

[6] Shenzhou Zheng: Removable singularities of solutions of A-harmonic type equations, Acta Mathematicae Applicatae Sinica, English Series, 20 (2004), 115-122.

DOI: 10.1007/s10255-004-0154-2

Google Scholar

[7] M. Giaquinta: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Annals of Mathematics Studies, vol. 105, Princeton University Press, Princeton, NJ, USA, (1983).

DOI: 10.1515/9781400881628-002

Google Scholar

[8] M. C. Hong: Some remarks on the minimizers of variational integrals with nonstandard growth conditions, Bollettino dell'Unione Matematica Italiana, vol. 6, no. 1, pp.91-101, (1992).

Google Scholar

[9] T. Iwaniec, L. Migliaccio, L. Nania and C. Sbordone: Integrability and Removability Results for Quasiregular Mappings in High Dimensions, Math. Scand, 75(1994), 263-279.

DOI: 10.7146/math.scand.a-12519

Google Scholar