Abstract

In this paper, we consider the following non-homogeneous elliptic problem\begin{gather*} -\Delta u+u=\lambda(u^{p-1}+h(x))\text{ in }\varOmega, \\ u>0\text{ in }\varOmega,\quad u\in H_0^{1}(\varOmega), \end{gather*}where .

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