Existence of multiple positive solutions for nonhomogeneous elliptic problems in RNRN

In this paper, we study the multiplicity of positive solutions for the nonhomogeneous elliptic problem: −Δu+λu=f(x)up−1+μh(x)−Δu+λu=f(x)up−1+μh(x) in RNRN. We will show how the shape of the graph of f(x)f(x) affects the number of positive solutions.