Existence and multiplicity results for critical growth polyharmonic elliptic systems

DOI10.1002/mma.2816zbMath1290.35083OpenAlexW2166668352MaRDI QIDQ5406968

Dengfeng Lü

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2816

zbMATH Keywords

multiple solutionsSobolev critical exponenthomogeneous functionLjusternik-Schnirelmann theoryNehari manifoldspolyharmonic elliptic system

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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