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arxiv: 1711.01884 · v1 · pith:35MDMVDCnew · submitted 2017-11-06 · 🧮 math.AP

Positive solutions for superdiffusive mixed problems

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keywords mixedpositivesolutionssuperdiffusivebifurcation-typeboundaryconditionsdescribing
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We study a semilinear parametric elliptic equation with superdiffusive reaction and mixed boundary conditions. Using variational methods, together with suitable truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions.

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