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One‐bump positive solutions for the Kirchhoff equations with perturbation in R 3
Author(s) -
Liu Weiming
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5891
Subject(s) - mathematics , perturbation (astronomy) , mathematical analysis , kirchhoff integral theorem , partial differential equation , physics , quantum mechanics , summation equation
In this paper, we study the Kirchhoff equations with perturbation in R 3 . Applying the finite reduction method, we prove that the equation has one‐bump positive solutions under some suitable conditions that are given in Section 1.