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Multiple solutions of weakly-coupled systems with p-laplacian operators

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Abstract

We prove a multiplicity result for weakly-coupled systems with p-laplacian operators of the form

$$(\phi_{pi}(u_{i}^{\prime}))^{\prime}+gi(u_i)=h_i(t,u,u^\prime),\qquad t\ \in \ (0,1),\qquad$$

Neumann boundary conditions are assumed and the nonlinearity is supposed to be superlinear asymmetric. We use a topological degree method based on a continuation theorem and on the performance of a time-map technique for the unperturbed case.

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Authors and Affiliations

  1. Walter Dambrosio — Dipartimento di Matematica — Università di Torino —, Via Carlo Alberto, 10 - 10123, Torino —, Italy

    Walter Dambrosio

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  1. Walter Dambrosio
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Correspondence to Walter Dambrosio.

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Dambrosio, W. Multiple solutions of weakly-coupled systems with p-laplacian operators. Results. Math. 36, 34–54 (1999). https://doi.org/10.1007/BF03322100

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