A Liouville comparison principle for entire sub- and super-solutions of the equation \(u_t-\Delta_p(u)=|u|^{q-1}u\)

DOI10.1016/j.crma.2011.06.006zbMath1225.35039arXiv1105.1810OpenAlexW2962745703MaRDI QIDQ639595

Vasilii V. Kurta

Publication date: 22 September 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1810

zbMATH Keywords

Fujita-type results

Mathematics Subject Classification ID

Entire solutions to PDEs (35B08) Quasilinear parabolic equations with (p)-Laplacian (35K92) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

A Liouville comparison principle for sub- and super-solutions of the equation \(w_{t} - \Delta _{p} (w) = |w|^{q-1} w\)

Cites Work

• On a Comparison Principle and the Critical Fujita Exponents for Solutions of Semilinear Parabolic Inequalities
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• A Liouville comparison principle for solutions of semilinear elliptic partial differential inequalities
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