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MAXIMUM PRINCIPLES FOR GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS 被引量:1

MAXIMUM PRINCIPLES FOR GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS
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摘要 Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized solution of quasi_linear elliptic equations. Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized solution of quasi_linear elliptic equations.
机构地区 FacultyofSciences
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第4期458-467,共10页 应用数学和力学(英文版)
关键词 quasi_linear elliptic equation generalized solution maximum principleFORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS$$$$ LUO Shao_kai 1 2 3 (1.Institute of Mathematical Mechanics and Mathema quasi_linear elliptic equation generalized solution maximum principleFORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS$$$$ LUO Shao_kai 1,2,3 (1.Institute of Mathematical Mechanics and Mathema
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  • 1梁延,王向东.A PRIORI ESTIMATE FOR MAXIMUM MODULUS OF GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),1990,11(10):941-953. 被引量:1
  • 2Neil S. Trudinger.Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients[J].Mathematische Zeitschrift.1977(3)
  • 3K. Uhlenbeck.Regularity for a class of non-linear elliptic systems[J].Acta Mathematica.1977(1)
  • 4James Serrin.Local behavior of solutions of quasi-linear equations[J].Acta Mathematica.1964(1)
  • 5Charles B. Morrey.Second order elliptic equations in several variables and H?lder continuity[J].Mathematische Zeitschrift.1959(1)

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