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Existence of multiple solutions for quasilinear elliptic equation with critical Sobolev–Hardy terms
Author(s) -
Li Yuanxiao,
Gao Wenjie
Publication year - 2013
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.3057
Subject(s) - sobolev space , mathematics , elliptic curve , mathematical analysis , critical exponent , boundary value problem , boundary (topology) , geometry , scaling
The main purpose of this paper is to establish the existence of multiple solutions for quasilinear elliptic equation with Robin boundary condition involving the critical Sobolev–Hardy exponents. It is shown, by means of variational methods, that under certain conditions, the existence of nontrivial solutions are obtained. Copyright © 2013 John Wiley & Sons, Ltd.