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.
Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
Musina, Roberta
2012-01-01
Abstract
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.File in questo prodotto:
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