Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
EXISTENCE RESULTS TO SOME QUASILINEAR ELLIPTIC PROBLEMS WITH HARDY POTENTIAL AND ABSORPTION TERM
Yongda WANGShuo ZHANG
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2014 年 68 巻 2 号 p. 249-260

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This article is devoted to dealing with existence of a solution to a quasilinear elliptic problem with the Hardy potential term up−1 / |x|p and critical growth in the gradient |∇u|p as an absorption term. By considering the interaction between the two terms in the equation, we prove that there exists a positive solution to the problem. Moreover, the existence result for a wider class of weight functions can also be obtained.
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© 2014 Faculty of Mathematics, Kyushu University
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