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Radially symmetric solutions of the p ‐Laplacian with critical Sobolev–Hardy exponent in perforated‐like domain
Author(s) -
Ji Shanming,
Yin Jingxue,
Ke Yuanyuan
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.1427
Subject(s) - sobolev space , mathematics , exponent , domain (mathematical analysis) , critical exponent , laplace operator , mathematical analysis , p laplacian , fractional laplacian , geometry , philosophy , boundary value problem , linguistics , scaling
In this paper, we establish the existence of radially symmetric solutions of the p ‐Laplacian with a concave term and critical Sobolev–Hardy exponent in a perforated‐like domain. Copyright © 2011 John Wiley & Sons, Ltd.