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Nodal solutions for pseudo-relativistic Hartree equations

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Abstract In this paper, we investigate the existence of nodal solutions for the following problem where 1 2 α 1 , 0 μ ≤ 2 and 2 N − μ… Click to show full abstract

Abstract In this paper, we investigate the existence of nodal solutions for the following problem where 1 2 α 1 , 0 μ ≤ 2 and 2 N − μ N − 1 p 2 N − μ N − 2 α . We show that for any positive integer k, problem ( P 0 ) possesses a radially symmetrical solution changing sign exactly k-times.

Keywords: hartree equations; nodal solutions; relativistic hartree; pseudo relativistic; solutions pseudo

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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