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Infinitely many solutions for some nonlinear elliptic equations in ℝ N
Author(s) -
Yu Xiaohui
Publication year - 2011
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.1435
Subject(s) - mathematics , nonlinear system , elliptic curve , pure mathematics , mathematical analysis , physics , quantum mechanics
In this paper, we study the multiple solutions for the semilinear elliptic equationwhere , 1< p <( N + 2)/( N − 2) for and p >1 for N = 2. We will prove that the problem possesses infinitely many solutions under some assumptions on Q ( x ). Copyright © 2011 John Wiley & Sons, Ltd.
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