Existence and Asymptotic Behavior of Solutions for Hénon Type Equations
نویسندگان
چکیده
This paper is concerned with ground state solutions for the Hénon type equation −∆u(x) = |y|αup−1(x) in Ω, where Ω = B(0, 1) × Bn−k(0, 1) ⊂ R and x = (y, z) ∈ R × Rn−k. We study the existence of cylindrically symmetric and non-cylindrically symmetric ground state solutions for the problem. We also investigate asymptotic behavior of the ground state solution when p tends to the critical exponent 2∗ = 2n n−2 if n ≥ 3.
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تاریخ انتشار 2012