Multiple positive solutions for Dirichlet problems involving concave and convex nonlinearities Original Research Article

In this paper, we study the multiplicity of positive solutions for the following Dirichlet problems involving concave and convex nonlinearities View the MathML source{−Δu+u=λf(x)|u|q−2u+h(x)|u|p−2uin A;u∈H01(A), Turn MathJax on where View the MathML source1≤q<20,A=Θ×R is an infinite strip in RNRN, ΘΘ is a bounded domain in RN−1RN−1 and f(x),h(x)f(x),h(x) satisfy suitable conditions.