A sign-changing solution for the Schr\"odinger-Poisson equation

Claudianor O. Alves , Marco A. S. Souto , S\'ergio H. M. Soares

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classification 🧮 math.AP

keywords sign-changingequationodinger-poissonschrsolutionassociationclassclosed

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We find a sign-changing solution for a class of Schr\"odinger-Poisson system in $\mathbb{R}^3$ as an existence result by minimization in a closed subset containing all the sign-changing solutions of the equation. The proof is based on variational methods in association with the deformation lemma and Miranda's theorem.

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A sign-changing solution for the Schr\"odinger-Poisson equation

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