On the existence of solutions for an elliptic system of equations with arbitrary order growth

DOI10.1007/s10255-013-0224-4zbMath1272.35088OpenAlexW2127433540MaRDI QIDQ350763

ZhongYuan Liu

Publication date: 3 July 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-013-0224-4

zbMATH Keywords

variational methodelliptic systemNehari manifold

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Singular elliptic equations (35J75)

Cites Work

• Monotonicity constraints and supercritical Neumann problems
• The principle of symmetric criticality
• High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities
• Initiation of slime mold aggregation viewed as an instability
• Large amplitude stationary solutions to a chemotaxis system
• Minimax theorems
• A note on the radial solutions for the supercritical Hénon equation
• On the Neumann problem for an elliptic system of equations involving the critical Sobolev exponent
• Stationary Solutions of Chemotaxis Systems

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