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

Li Yuanting

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.

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.

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

Li Yuanting

Abstract

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 W^1.p(Ω)and W^1.p(Ω).