When the source function of elliptic partial differential equation is a function of independent variable, unknown function of independent variable and partial derivative of unknown function, the boundary value problem of nonlinear elliptic equation is studied. By using the generalized Stampacchia lemma and the analysis technique of Sobolev space, the regularity of the solution of the boundary value problem of elliptic equation under some coercivity and controlled growth assumptions is obtained.
HUANG Miaomiao
,
ZHAO Xueyi
,
FENG Heping
. Regularity for some nonlinear elliptic problems[J]. Journal of Hebei University(Natural Science Edition), 2023
, 43(3)
: 225
-229
.
DOI: 10.3969/j.issn.1000-1565.2023.03.001
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