A remark on the linearized stability of positive solutions for systems involving the \(p\)-Laplacian

DOI10.1007/s11117-006-2021-2zbMath1123.35014OpenAlexW2034465248MaRDI QIDQ885056

Sayyed Hashem Rasouli, Ghasem Alizadeh Afrouzi

Publication date: 7 June 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-006-2021-2

zbMATH Keywords

\(p\)-Laplacianelliptic systemlinearized stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60)

Related Items

Unnamed Item ⋮ A remark on the existence of positive weak solution for a class of \((p,q)\)-Laplacian nonlinear system with sign-changing weight ⋮ The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition ⋮ Linearized stability implies dynamic stability for equilibria of 1-dimensional, p-Laplacian boundary value problems

Cites Work

• Unnamed Item
• Regularity for a more general class of quasilinear equations
• On a class of semilinear elliptic systems.
• An existence result on positive solutions for a class of \(p\)-Laplacian systems.
• Existence of positive solutions for a nonvariational quasilinear elliptic system
• On some nonlinear elliptic systems
• Some remarks on a system of quasilinear elliptic equations
• Existence and uniqueness of positive solutions of semilinear elliptic systems
• On positive weak solutions for a class of quasilinear elliptic systems
• Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems

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