Nontrivial solutions of Hardy-Hénon type elliptic systems

DOI10.1016/S0252-9602(07)60067-8zbMath1150.35371OpenAlexW1971789749MaRDI QIDQ925659

Jianfu Yang, Fang Liu

Publication date: 3 June 2008

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(07)60067-8

zbMATH Keywords

strongly indefinite elliptic systemHardy-Hénon type system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Existence results for critical singular elliptic systems ⋮ Multiple positive solutions for a Hamiltonian system with an indefinite data function ⋮ Infinitely many solutions for Hardy-Hénon type elliptic system in hyperbolic space ⋮ Symmetry and nonexistence of positive solutions for fractional systems ⋮ A Pohozaev identity for the fractional Hénon system ⋮ On Caffarelli-Kohn-Nirenberg-type inequalities for the weighted biharmonic operator in cones ⋮ Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms ⋮ On a singular class of Hamiltonian systems in dimension two ⋮ Symmetry and nonexistence of positive solutions of integral systems with Hardy terms ⋮ Asymptotic behavior of solutions for Hénon systems with nearly critical exponent ⋮ On the ground state to Hamiltonian elliptic system with Choquard's nonlinear term ⋮ Radial and non radial solutions for Hardy-Hénon type elliptic systems

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