Dead cores and effectiveness of semilinear reaction-diffusion systems

DOI10.1016/0022-247X(92)90361-GzbMath0780.35037MaRDI QIDQ1206983

S. Singh

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existence of a positive solutioncoupled semilinear elliptic problemdead core problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• A note on optimal domains in a reaction-diffusion problem
• Singular perturbations and dead core behavior
• Maximum principles and their applications
• A strong maximum principle for some quasilinear elliptic equations
• On the Existence of a Free Boundary for a Class of Reaction-Diffusion Systems
• On solutions of δu=f(u)
• Diffusion and reaction with monotone kinetics
• The Free Boundary of a Semilinear Elliptic Equation
• Steady-state reaction-diffusion systems
• The Formation of the Dead Core in Parabolic Reaction-Diffusion Problems
• Dead cores in nonlinear reaction–diffusion systems
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