Title of article :
Some integrability estimates for solutions of the fractional p-Laplace equation
Author/Authors :
Shi ، Shaoguang - Linyi University
Pages :
8
From page :
5585
To page :
5592
Abstract :
For \((\alpha,p)\in(0,1)\times (1,\infty)\), this note focuses on some integrability estimates for solutions of the following Dirichlet problem \[\begin{cases}L_{\alpha,p}u(x)=g(x) \,\, \hbox{as} \,\,x\in \Omega,\\u(x)=0 \,\, hbox{as} \,\,x\in \mathbb{R}^{n}\backslash \Omega, \end{cases}\]where \(L_{\alpha,p}\) is the fractional \(p\)Laplace operator.
Keywords :
Fractional p , Laplace equation , Dirichlet problem , solution
Journal title :
Journal of Nonlinear Science and Applications
Serial Year :
2017
Journal title :
Journal of Nonlinear Science and Applications
Record number :
2476752
Link To Document :
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