Multiple Solutions for Nonhomogeneous Schro¨ dinger Equations

• Autores: Ruixi Lang, Tingting Zhang
• Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
• Idioma: inglés
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• Resumen

  • In this article, we study the following nonhomogeneous Schro¨ dinger equation −Δu+V(x)u−Δ(u2)u=f(x,u)+k(x),x∈RN, where V(x) is a given positive potential. Under some suitable assumptions on V, f and k, the existence of multiple solutions is proved using the Ekeland’s variational principle and the Mountain Pass Theorem in critical point theory.