Acta mathematica scientia, Series B >
NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF NONNEGATIVE SOLUTIONS OF INHOMOGENEOUS p-LAPLACE EQUATION
Received date: 2004-10-09
Revised date: 2005-09-25
Online published: 2007-01-20
Let $\Omega$ be a smooth bounded domain in Rn. In this article, we consider the homogeneous boundary Dirichlet problem of inhomogeneous $p$-Laplace equation $-\Delta_p u=|u|^{q-1}u+\lambda f(x)$ on $\Omega$, and identify necessary and sufficient conditions on $\Omega$ and $f(x)$ which ensure the existence, or multiplicities of nonnegative solutions for the problem under consideration.
Dai Qiuyi , Peng Lihui . NECESSARY AND SUFFICIENT CONDITIONS FOR THE EXISTENCE OF NONNEGATIVE SOLUTIONS OF INHOMOGENEOUS p-LAPLACE EQUATION[J]. Acta mathematica scientia, Series B, 2007 , 27(1) : 34 -56 . DOI: 10.1016/S0252-9602(07)60004-6
/
| 〈 |
|
〉 |