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Multiple positive solutions of degenerate nonlocal problems on unbounded domain
Author(s) -
Fan Haining,
Liu Xiaochun
Publication year - 2014
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.3145
Subject(s) - degenerate energy levels , mathematics , domain (mathematical analysis) , mountain pass theorem , variational principle , mathematical analysis , pure mathematics , nonlinear system , physics , quantum mechanics
Abstract In this paper, we study the existence of multiple positive solutions for a degenerate nonlocal problem on unbounded domain. Using the Ekeland's variational principle combined with the mountain pass theorem, we show that problem admits at least two positive solutions under several different conditions. Copyright © 2014 John Wiley & Sons, Ltd.