Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a quasilinear reaction-diffusion system

DOI10.1016/S0377-0427(02)00563-0zbMath1087.35054MaRDI QIDQ1863680

Zuodong Yang, Qi-Shao Lu

Publication date: 12 March 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

blow-uppositive radial solutionsexistence and nonexistencequasilinear reaction-diffusion system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

On the existence of multiple positive entire solutions for quasilinear elliptic systems ⋮ Quasilinear elliptic equation involving singular non-linearities ⋮ Existence of boundary blow-up solutions for a class of quasilinear elliptic systems with critical case ⋮ Entire positive solution to the system of quasilinear elliptic equations ⋮ Boundary blow-up solutions for a class of quasilinear elliptic equations ⋮ Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions ⋮ The properties of solution for quasilinear elliptic equations

Cites Work

• Unnamed Item
• Boundedness and blow up for a semilinear reaction-diffusion system
• Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation
• Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system
• Blow-up estimates of positive solutions of a parabolic system
• Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
• Non-existence theorems for systems of quasilinear partial differential equations
• Nonexistence of positive solutions of semilinear elliptic systems in \(\mathbb{R}^ N\)
• Asymptotically self‐similar blow‐up of semilinear heat equations
• An L^∞ blow‐up estimate for a nonlinear heat equation
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• Positive splutions of semilinear elliptic systems
• A rellich type identity and applications
• Department of technical mathematics and informatics university of technology
• Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system
• On the equation of turbulent filtration in one- dimensional porous media
• Blow-up estimates for a non-Newtonian filtration system