Critical Hyperbolas and Multiple Symmetric Solutions to Some Strongly Coupled Elliptic Systems

Critical Hyperbolas and Multiple Symmetric Solutions to Some Strongly Coupled Elliptic Systems

We are interested in the existence of multiple symmetric solutions to the Lane-Emden system with Hénon type weights Here B stands for the open unit ball in ℝ centered at zero, N ≥ 3, α, β ≥ 0, p, q > 0. In this paper we present a complete picture of the quantitative study of solutions to the syst...

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Veröffentlicht in:Advanced nonlinear studies 2013-05, Vol.13 (2), p.359-371
Hauptverfasser: Guedes de Figueiredo, Djairo, Moreira dos Santos, Ederson, Miyagaki, Olímpio Hiroshi
Format: Artikel
Sprache:eng
Schlagworte:
fourth-order elliptic equations
Hamiltonian systems of elliptic equations
Hénon weights
multiplicity of positive solutions
Sobolev embeddings
supercritical problems
symmetric solutions
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Zusammenfassung:We are interested in the existence of multiple symmetric solutions to the Lane-Emden system with Hénon type weights Here B stands for the open unit ball in ℝ centered at zero, N ≥ 3, α, β ≥ 0, p, q > 0. In this paper we present a complete picture of the quantitative study of solutions to the system above.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2013-0206