一类非齐次A-调和方程很弱解的全局正则性

doi:10.6040/j.issn.1671-9352.0.2019.408

Abstract

Abstract: This paper deals with boundary value problem for non-homogeneous A-harmonic equation div(A(x,∇u))=f(x). A global regularity result is derived for very weak solutions under some controllable and coercivity conditions and some proper integrable assumptions on the nonlinear term, by using the Hodge decomposition theorem and the methods in Sobolev spaces. The results generalize the corresponding results in related literatures.

Key words: A-harmonic equation, Hodge decomposition theorem, global regularity

CLC Number:

O175.25

XU Xiu-juan, YAN Shuo, ZHU Ye-qing. Global regularity for very weak solutions to non-homogeneous A-harmonic equation[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(2): 48-56.

References

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Global regularity for very weak solutions to non-homogeneous A-harmonic equation

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