Multiple Positive solutions of a $(p_1,p_2)$ -Laplacian system with nonlinear BCs

preprint2015arXivOpen access

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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Multiple Positive solutions of a $(p_1,p_2)$ -Laplacian system with nonlinear BCs

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Multiple Positive solutions of a (p1,p2)(p_1,p_2)(p1​,p2​)-Laplacian system with nonlinear BCs

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Multiple Positive solutions of a $(p_1,p_2)$ -Laplacian system with nonlinear BCs