Publication: Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
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Abstract
We consider the fourth-order problem {ε4△2u + V(x)u = f(u) +γ |U|2..-2u inRN u ∈ H 2(RN), where ε > 0, N ≥ 5, V is a positive continuous potential, is a function with subcritical growth and γ ∈ {0,1}. We relate the number of solutions with the topology of the set where V attain its minimum values. We consider the subcritical case γ = 0 and the critical case γ = 1. In the proofs we apply Ljusternik-Schnirelmann theory.
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Biharmonic equations, Nontrivial solutions, Variational methods
Language
English
Citation
Bulletin of the Belgian Mathematical Society - Simon Stevin, v. 20, n. 3, p. 519-534, 2013.
