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Sign-changing bubble tower solutions for the supercritical Hénon-type equations
CAO, Daomin - Personal Name
LIU, Zhongyuan - Personal Name
PENG, Shuangjie - Personal Name
This paper deals with the following supercritical Hénon-type equation −u = |x|
α|u|pα−1−εu in ,
u = 0 on ∂,
where α > −2, ε > 0, pα = N+2+2α N−2 , N ≥ 3, is a smooth bounded domain in RN
containing the origin. For ε > 0 small enough, it is shown that if α is not an even integer, the above problem has sign-changing bubble tower solutions, which blow up at the origin. It seems that this is the first existence result of sign-changing bubble tower solutions for the supercritical Hénon-type equation.
α|u|pα−1−εu in ,
u = 0 on ∂,
where α > −2, ε > 0, pα = N+2+2α N−2 , N ≥ 3, is a smooth bounded domain in RN
containing the origin. For ε > 0 small enough, it is shown that if α is not an even integer, the above problem has sign-changing bubble tower solutions, which blow up at the origin. It seems that this is the first existence result of sign-changing bubble tower solutions for the supercritical Hénon-type equation.
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| EB00000003219K | Available |
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Statement of Responsibility
Daomin Cao1,2 · Zhongyuan Liu3 · Shuangjie Peng4
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