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Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth

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In this paper, we study a nonlinear Schrodinger-Poisson equation with critical growth in R3. Under some assumptions on potential functions, we prove that for p ∈ (3, 6), the Schrodinger-Poisson… Click to show full abstract

In this paper, we study a nonlinear Schrodinger-Poisson equation with critical growth in R3. Under some assumptions on potential functions, we prove that for p ∈ (3, 6), the Schrodinger-Poisson equation has ground state and nodal solutions by variational methods.

Keywords: poisson equation; state nodal; critical growth; equation critical; equation; ground state

Journal Title: Journal of Mathematical Physics
Year Published: 2018

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