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A MULTIPLICITY RESULT FOR A CLASS OF EQUATIONS OF<i>p</i>-LAPLACIAN TYPE WITH SIGN-CHANGING NONLINEARITIES
Abstract Using variational arguments we study the non-existence and multiplicity of non-negative solutions for a class equations of the form where Ω is a bounded domain in N , N ≧ 3, f is a sign-changing Carathéodory function on Ω × [0, +∞) and λ is a positive parameter.