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A new existence result for the boundary value problem of p-Laplacian equations with sign-changing weights

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Abstract

In this paper, a new existence result for the homogeneous Dirichlet boundary value problem of p-Laplacian equations with sign-changing weights which may not be in \(L^{1}\) is presented. Our approach is based on the nonlinear alternative of Leray–Schauder type theorem.

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Correspondence to Xianghui Xu.

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Communicating Editor: Mythily Ramaswamy

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Xu, X. A new existence result for the boundary value problem of p-Laplacian equations with sign-changing weights. Proc Math Sci 129, 47 (2019). https://doi.org/10.1007/s12044-019-0500-1

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  • DOI: https://doi.org/10.1007/s12044-019-0500-1

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