On a class of coupled elliptic systems in ℝn

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Abstract

It is established the existence and multiplicity of solutions for a class of coupled semilinear elliptic systems in ℝN where none of the potentials are coercive. The main goal is to consider systems where the primitive of the nonlinearity is superquadratic on appropriate directions. © 2007 Birkhaueser.

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Maia, L. A., & Silva, E. A. B. (2007). On a class of coupled elliptic systems in ℝn. Nonlinear Differential Equations and Applications, 14(3–4), 303–313. https://doi.org/10.1007/s00030-007-5039-7

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