李园庭. 关于拟线性椭圆型方程在广义Sobolev空间中解的正则性[J]. 南昌航空大学学报(自然科学版), 1995, 9(1): 57-63.
引用本文: 李园庭. 关于拟线性椭圆型方程在广义Sobolev空间中解的正则性[J]. 南昌航空大学学报(自然科学版), 1995, 9(1): 57-63.
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Li Yuanting. On the Regularity of Solutions in Generalized Sobolev Space for Dirichlet Problem of Quasilinear Elliptic Equations[J]. Journal of nanchang hangkong university(Natural science edition), 1995, 9(1): 57-63.
Citation: Li Yuanting. On the Regularity of Solutions in Generalized Sobolev Space for Dirichlet Problem of Quasilinear Elliptic Equations[J]. Journal of nanchang hangkong university(Natural science edition), 1995, 9(1): 57-63.
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关于拟线性椭圆型方程在广义Sobolev空间中解的正则性

On the Regularity of Solutions in Generalized Sobolev Space for Dirichlet Problem of Quasilinear Elliptic Equations

    摘要
  • 摘要: 本主讨论了下面方程Dirichlet问题在广义Sobolev空间中解的正则性:,x∈Ω其中ΩR°是有界区域,证明了上述问题在W1.p(Ω)和W1.p(Ω)中存在有界广义解.

     

    Abstract: This paper discusses the regularity of the solutions for the following Drichlet problem in the generalized Sobolev space. where Ω is a bounded domain in R°.It is also proved that the above-mentioned problem has finite solutions in W1.p(Ω)and W1.p(Ω).

     

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