Non-existence of positive solutions for a class of fourth order elliptic systems in positive-type domains

DOI10.1016/j.aml.2021.107085zbMath1465.35200OpenAlexW3126208032MaRDI QIDQ2022264

Pei Ma, Tiantian Zheng, Ji Hui Zhang

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107085

zbMATH Keywords

biharmonic operatornon-existence resultshigher-order elliptic systemsPohozaev-type identity

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for higher-order elliptic systems (35J58)

Cites Work

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• Non-existence of positive solutions of some elliptic equations in positive-type domains
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains
• Pohozaev-type inequality and non-existence of solutions for a kind of elliptic systems
• Existence of multiple periodic orbits of Hamiltonian systems on positive-type hypersurfaces in \({\mathbb{R}}^{2n}\)
• Pohozaev-type inequalities and their applications for elliptic equations
• Quasilinear elliptic equations involving critical Sobolev exponents

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