A complete characterization of the discrete \(p\)-Laplacian parabolic equations with \(q\)-nonlocal reaction with respect to the blow-up property

DOI10.1016/J.JMAA.2019.01.031zbMath1411.35186OpenAlexW2910254947MaRDI QIDQ2633364

Jaeho Hwang, Soon-Yeong Chung

Publication date: 8 May 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.01.031

zbMATH Keywords

blow-upsemilinear parabolic equationDirichlet boundary value problemdiscrete \(p\)-Laplaciannonlocal reaction

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

On the critical set for discrete Laplacian parabolic equations with polynomial-type reactions ⋮ A complete characterization of Fujita's blow-up solutions for discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks ⋮ A condition for blow-up solutions to discrete \(p\)-Laplacian parabolic equations under the mixed boundary conditions on networks

Cites Work

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• Positive solutions for discrete boundary value problems involving the p-Laplacian with potential terms
• Local vs. non-local interactions in population dynamics
• Total blow-up versus single point blow-up
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Blow-up solutions and global solutions to discrete \(p\)-Laplacian parabolic equations
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Global and blow-up solutions to a \(p\)-Laplacian equation with nonlocal source
• Critical blow-up and global existence for discrete nonlinear \(p\)-Laplacian parabolic equations
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems
• The Dirichlet boundary value problems forp-Schrödinger operators on finite networks
• Constant sign solutions for parameter-dependent superlinear second-order difference equations
• Blow-up for discrete reaction-diffusion equations on networks
• $\omega$-Harmonic Functions and Inverse Conductivity Problems on Networks
• EXTINCTION AND NON-EXTINCTION OF SOLUTIONS TO A FAST DIFFUSIVE p-LAPLACE EQUATION WITH A NONLOCAL SOURCE

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