Photo by chippenpuepp from unsplash
Abstract In this paper, we study the existence of nodal solutions for the Schrodinger-Poisson systems with concave-convex nonlinearities (0.1) { − Δ u + ϕ u = λ | u… Click to show full abstract
Abstract In this paper, we study the existence of nodal solutions for the Schrodinger-Poisson systems with concave-convex nonlinearities (0.1) { − Δ u + ϕ u = λ | u | p − 2 u + | u | q − 2 u in Ω , − Δ ϕ = u 2 in Ω , u , ϕ = 0 on ∂ Ω , where Ω is a bounded domain with smooth boundary ∂Ω in R 3 , 1 p 2 , 4 q 6 . By constrained variational method and quantitative deformation lemma, we prove that there exists a constant λ ⁎ > 0 such that for any λ λ ⁎ , problem (0.1) has a nodal solution u λ with positive energy.
Keywords:
concave convex;
systems concave;
solutions schr;
nodal solutions;
convex nonlinearities;
poisson systems
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!