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A priori estimate for lower solutions of a class quasilinear elliptic equations

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Abstract

A new priori estimate of lower solution is made for the following quasilinear elliptic equation:

The result presented in this paper enriches and extends the corresponding result of Gilbarg-Trudinger.

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References

  1. Gilbarg D, Trudinger N S.Elliptic Partial Differential Equations of Second Order [M]. New York, Heidelberg: Springer-Verlag, 1977,327–340

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  2. Ladyzhenskaya O A, Uraltseva N N.Linear and Quasilinear Elliptic Equations [M]. New York: Academic Press, 1968,275–281 (English version)

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Communicated by Xu Zhengfan

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Xiangdong, W., Puxian, H. & Xiting, L. A priori estimate for lower solutions of a class quasilinear elliptic equations. Appl Math Mech 20, 231–232 (1999). https://doi.org/10.1007/BF02481904

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  • DOI: https://doi.org/10.1007/BF02481904

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