Multiple solutions for nonhomogeneous Schrodinger-Poisson system with p-Laplacian

نویسندگان

چکیده

This article concerns the existence of solutions to Schrodinger-Poisson system $$\displaylines{ -\Delta_p u+|u|^{p-2}u+\lambda\phi u=|u|^{q-2}u+h(x) \quad \hbox{in }\mathbb{R}^3,\\ -\Delta \phi=u^2 }\mathbb{R}^3, }$$ where \( 4/3 < p 12/5 \), q p^{*}=3p/(3-p) \(\Delta_p u =\hbox{div}(|\nabla u|^{p-2}\nabla u)\), \(\lambda >0\), and \(h \not= 0\). The multiplicity results are obtained by using Ekeland's variational principle mountain pass theorem.

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ژورنال

عنوان ژورنال: Electronic Journal of Differential Equations

سال: 2023

ISSN: ['1072-6691']

DOI: https://doi.org/10.58997/ejde.2023.28