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- W1570807119 abstract "This paper deals with the critical elliptic equations of Caffarelli–Kohn–Nirenberg type −div(|x|−2a∇u)=μ+h(x)|x|2(1+a)u+k(x)|u|p−2u|x|bpinRN, where N≥3, 0≤μ<(μ¯−a)2, μ¯=(N−22)2, 0≤a<μ¯, a≤b<a+1, p=p(a,b)=2NN−2(1+a−b), and h and k are continuously bounded functions satisfying some symmetry conditions with respect to a subgroup G of O(N). By using a variant of the concentration-compactness principle of P. L. Lions together with variational methods, we obtain several existence and multiplicity results of positive G-symmetric solutions under certain hypotheses on h and k." @default.
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- W1570807119 date "2011-04-01" @default.
- W1570807119 modified "2023-09-30" @default.
- W1570807119 title "On -symmetric solutions of critical elliptic equations of Caffarelli–Kohn–Nirenberg type" @default.
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- W1570807119 doi "https://doi.org/10.1016/j.nonrwa.2010.09.002" @default.
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