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arxiv: 1710.02643 · v1 · pith:JCRAGUIZnew · submitted 2017-10-07 · 🧮 math.AP

Pairs of positive solutions for resonant singular equations with the p-Laplacian

classification 🧮 math.AP
keywords laplacianpositiveresonantsingularsolutionscomparisonconsiderdirichlet
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We consider a nonlinear elliptic equation driven by the Dirichlet $p$-Laplacian with a singular term and a $(p-1)$-linear perturbation which is resonant at $+\infty$ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, we show the existence of at least two positive smooth solutions.

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