戴求亿; 彭丽辉
Dai Qiuyi; Peng Lihui
摘要:
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.
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