On critical exponent for the existence and stability properties of positive weak solutions for some nonlinear elliptic systems involving the \((p,q)\)-Laplacian and indefinite weight function

DOI10.1007/S12044-011-0009-8zbMath1307.35106OpenAlexW1990383170MaRDI QIDQ353972

Javad Vahidi, Ghasem Alizadeh Afrouzi

Publication date: 17 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-011-0009-8

zbMATH Keywords

linearized stabilitynonlinear elliptic systemsub-super solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system
• Non-existence of positive solution to a quasilinear elliptic system and blow-up estimates for a reaction-diffusion system
• On the equation of turbulent filtration in one- dimensional porous media
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems

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