Optimal sub- or supersolutions in reaction-diffusion problems

DOI10.1006/jdeq.2001.3994zbMath0989.35075OpenAlexW1994684642MaRDI QIDQ5957787

Rene P. Sperb

Publication date: 16 July 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/145829

zbMATH Keywords

membrane problemestimation of blowup or vanishing timestorsion problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57)

Cites Work

• Optimal bounds in semilinear elliptic problems with nonlinear boundary conditions
• Maximum principles and their applications
• Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function
• Nonlinear elliptic boundary-value problems in unbounded domains
• On the mean value of the fundamental mode in the fixed membrane problem
• On the growth of solutions of quasi‐linear parabolic equations
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