We study existence, multiplicity and qualitative properties of entire solutions for a noncompact problem related to second-order interpolation inequalities with weights. More precisely, we deal with the following family of equations Δu=λ|x|^{-4}u+|x|^{-β}|u|^{q-2}u in R^N, where N≥5, q>2, β=N-q(N-4)2 and λ∈R is smaller than the Rellich constant.
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机译：我们研究与二阶插值不等式有关的非紧致问题的整体解的存在性，多重性和定性性质。更准确地说，我们处理以下方程组RuN中的Δu=λ| x | ^ {-4} u + | x | ^ {-β} | u | ^ {q-2} u，其中N≥5 ，q> 2，β= Nq（N-4）2，并且λ∈R小于Rellich常数。
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