Infinitely Many Solutions for Hardy–hénon Type Elliptic System in Hyperbolic Space
نویسنده
چکیده
see for instance [29]. Notice that the exponent p or q could be larger than N+2 N−2 . Hence the usual Sobolev space H 0 (Ω)×H1 0 (Ω) is not suitable to handle the problem. To study the problem (1.2) under the condition (1.3), a key observation was done by Hulshof and Van de Vorst [16], De Figueiredo and Felmer [9]. In order to solve this problem, the main idea is to destroy the symmetry between u and v by demanding more regularity of u than that of v if p is large and q is small, and vice versa. Thus
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