Integrability of Very Weak Solutions for Boundary Value Problems of Nonhomogeneous p-Harmonic Equations
Yeqing Zhu
College of Science, North China University of Science and Technology, Hebei Tangshan, China.
Yanxia Zhou
College of Science, North China University of Science and Technology, Hebei Tangshan, China.
Yuxia Tong *
College of Science, North China University of Science and Technology, Hebei Tangshan, China.
*Author to whom correspondence should be addressed.
Abstract
The paper deals with very weak solutions u to boundary value problems of the nonhomogeneous p-harmonic equation. We show that, any very weak solution u to the boundary value problem is integrable provided that r is sufficiently close to p.
Keywords: Integrability, very weak solution, boundary value problem, p-harmonic equation