Initial and boundary blow-up problem for \(p\)-Laplacian parabolic equation with general absorption

DOI10.1007/s10884-014-9407-9zbMath1334.35173arXiv1406.0989OpenAlexW2594504300WikidataQ115383524 ScholiaQ115383524MaRDI QIDQ258119

Mingxin Wang, Yujuan Chen, Peter Y. H. Pang

Publication date: 17 March 2016

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

Full work available at URL: https://arxiv.org/abs/1406.0989

zbMATH Keywords

positive solutions\(p\)-Laplacian parabolic equationasymptotic behaviorsinitial and boundary blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• Unnamed Item
• Unnamed Item
• The parabolic logistic equation with blow-up initial and boundary values
• Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms
• Local estimates for parabolic equations with nonlinear gradient terms
• Large solutions for nonlinear parabolic equations without absorption terms
• Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values
• Local smoothing effects, positivity, and Harnack inequalities for the fast \(p\)-Laplacian equation
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• Boundary blow-up solutions and their applications in quasilinear elliptic equations
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Optimal uniqueness theorems and exact blow-up rates of large solutions
• Quasilinear elliptic equations with boundary blow-up
• Boundary blow-up solutions for p-Laplacian elliptic equations of logistic type
• Solutions of some nonlinear parabolic equations with initial blow-up
• A note on maximal solutions of nonlinear parabolic equations with absorption
• On Uniqueness of Large Solutions of Nonlinear Parabolic Equations in Nonsmooth Domains
• General uniqueness results and variation speed for blow-up solutions of elliptic equations

This page was built for publication: Initial and boundary blow-up problem for \(p\)-Laplacian parabolic equation with general absorption