On Very weak solutions of A-harmonic equation with Very weak boundary values

2002 ◽  
Vol 22 (1) ◽  
pp. 41-46 ◽  
Author(s):  
Hongya Gao ◽  
Yuquan Ye ◽  
Suying Xie
Keyword(s):  
Weak Solutions ◽  
Boundary Values ◽  
Very Weak Solutions ◽  
Weak Boundary ◽  
Harmonic Equation

scholarly journals Integrability of Very Weak Solutions for Boundary Value Problems of Nonhomogeneous p-Harmonic Equations

2019 ◽  
pp. 1-9
Author(s):  
Yeqing Zhu ◽  
Yanxia Zhou ◽  
Yuxia Tong
Keyword(s):  
Weak Solution ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Weak Solutions ◽  
Boundary Value ◽  
Very Weak Solutions ◽  
Very Weak Solution ◽  
Harmonic Equation

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.

scholarly journals Regularity for Very Weak Solutions of A-Harmonic Equation with Weight

2009 ◽  
Vol 49 (2) ◽  
pp. 195-202
Author(s):  
Hong-Ya Gao ◽  
Yu Zhang ◽  
Yu-Ming Chu
Keyword(s):  
Weak Solutions ◽  
Very Weak Solutions ◽  
Harmonic Equation

Regularity of the Very Weak Solutions for Double Obstacle Problems

2010 ◽  
Vol 143-144 ◽  
pp. 1396-1400
Author(s):  
Xu Juan Xu ◽  
Xiao Na Lu ◽  
Yu Xia Tong
Keyword(s):  
Elliptic Equation ◽  
Weak Solutions ◽  
Minkowski Inequality ◽  
Young Inequality ◽  
Obstacle Problems ◽  
Very Weak Solutions ◽  
Local Integrability ◽  
Regularity Results ◽  
Harmonic Equation ◽  
Homogeneous Elliptic Equation

The apply of harmonic eauation is know to all. Our interesting is to get the regularity os their solution, recently for obstacle problems. Many interesting results have been obtained for the solutions of harmonic equation ande their obstacle problems, however the double obstacle problems about the definition and regularity results for non-homogeneous elliptic equation. In this paper , the basic tool for the Young inequality,Hölder inequality, Minkowski inequality, Poincaré inequality and a basic inequality. The definition of very weak solutions for double obstacle problems associated with non-homogeneous elliptic equation is given, and the local integrability result is obtained by using the technique of Hodge decomposition.

scholarly journals Uniqueness of very weak solutions for a fractional filtration equation

2020 ◽  
Vol 365 ◽  
pp. 107041 ◽  
Author(s):  
Gabriele Grillo ◽  
Matteo Muratori ◽  
Fabio Punzo
Keyword(s):  
Weak Solutions ◽  
Very Weak Solutions ◽  
Filtration Equation

scholarly journals Very weak solutions to hypoelliptic wave equations

2020 ◽  
Vol 268 (5) ◽  
pp. 2063-2088
Author(s):  
Michael Ruzhansky ◽  
Nurgissa Yessirkegenov
Keyword(s):  
Weak Solutions ◽  
Wave Equations ◽  
Very Weak Solutions
Sign in / Sign up

Export Citation Format

Share Document