Abstract:We investigate qualitative properties of weak solutions of the Dirichlet problem for the equationwhere π < π. Under certain regularity and qualitative assumptions on the weights π, π and the source function π , we identify ranges of parameters π and π for which solutions satisfy maximum and antimaximum principles in weak and strong forms. Some of our results, especially on the validity of the antimaximum principle under low regularity assumptions, are new for the unperturbed problem with π = 0, and amo… Show more
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