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arxiv: 1505.06030 · v1 · pith:W3U3FN33new · submitted 2015-05-22 · 🧮 math.CA

Multiple Positive solutions of a (p₁,p₂)-Laplacian system with nonlinear BCs

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keywords laplaciannonlinearpositivesolutionssystemtheoryboundaryconditions
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Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a $(p_1,p_2)$-Laplacian system with nonlinear Robin and/or Dirichlet type boundary conditions. We give an example to illustrate our theory.

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