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Maximum Principles for a Class of Nonlinear Elliptic Boundary Value Problems

Maximum Principles for a Class of Nonlinear Elliptic Boundary Value Problems
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摘要 The Hopf＇s maximum principles are utilized to obtain maximum principles for functions defined on solutions of nonlinear elliptic equations in divergence form （g（u）u,i）,i ＋f（x,u,q）=0（q=｜△↓u｜^2）, subject The principles derived may be used to deduce bounds on the gradient q. The Hopf＇s maximum principles are utilized to obtain maximum principles for functions defined on solutions of nonlinear elliptic equations in divergence form （g（u）u,i）,i ＋f（x,u,q）=0（q=｜△↓u｜^2）, subject The principles derived may be used to deduce bounds on the gradient q.
作者 Jun-tang Ding Sheng-jia Li Jiang-hao Hao
机构地区 School of Mathematical Sciences
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期373-380,共8页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China （No.60174007） and PNSFS.
关键词 Nonlinear elliptic equations maximum principles bounds of gradient Nonlinear elliptic equations, maximum principles, bounds of gradient
分类号 O175.25 [理学—基础数学] O175.8 [理学—基础数学]
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参考文献16

  • 1Amann, H. Existence and multiplicity theorems for semilinear elliptic boundary value problems. Math.Z., 150:281 295 (1976).
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  • 6Miranda, C. Partial differential equations of elliptic type. Springer-Verlag, Berlin, New York, 1970.
  • 7Payne, L.E., Philippin, G.A. Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature. Nonlinear Anal., 3:193-211 (1979).
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  • 9Payne, L.E., Stakgold, I. Nonlinear problems in nuclear reactor analysis. In: Proceedings of the Conference on Nonlinear Problems in the Physical Sciences and Biology, Lecture Notes in Math., Vol. 322, Springer-Verlag, Berlin, New York, 298 307, 1972.
  • 10Philippin, G.A. A minimum principle for the problem of torsional creep. J. Math. Anal. Appl., 68:526-535 (1979).
Acta Mathematicae Applicatae Sinica
2005年 第3期

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