Global and blow-up solutions for the nonlocal \(p\)-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition

DOI10.1216/JIE-2014-26-2-171zbMath1295.35292OpenAlexW1993374963MaRDI QIDQ2510853

Jianyun Zhang, Zhong Bo Fang

Publication date: 4 August 2014

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1405949661

zbMATH Keywords

weight functionupper and lower solutionsblow-up rateblow-up setblow-up profile

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (6)

Qualitative properties of weak solutions for $p$-Laplacian equations with nonlocal source and gradient absorption ⋮ Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source ⋮ New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations ⋮ Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ Initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal boundary condition ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Coexistence and optimal control problems for a degenerate predator-prey model
• Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
• Uniform blow up profiles for diffusion equations with nonlocal source and nonlocal boundary
• Local vs. non-local interactions in population dynamics
• Blowup properties for a semilinear reaction-diffusion system with nonlinear nonlocal boundary conditions
• Blowup of solutions to a porous medium equation with nonlocal boundary condition
• On nonlinear parabolic equations with nonlocal boundary conditions
• Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
• Global existence and blow-up for a nonlinear porous medium equation
• Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions.
• A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
• Mathematical problems from combustion theory
• Global and blow-up solutions to a \(p\)-Laplacian equation with nonlocal source
• Non-local reaction-diffusion equations modelling predator-prey coevolution
• The role of critical exponents in blow-up theorems: The sequel
• Blow-up rate and profile for a degenerate parabolic system coupled via nonlocal sources
• Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary
• Blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
• Roles of weight functions in a nonlinear nonlocal parabolic system
• Roles of weight functions to a nonlinear porous medium equation with nonlocal source and nonlocal boundary condition
• A decreasing property of solutions of parabolic equations with applications to thermoelasticity
• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Blow-up in Nonlocal Reaction-Diffusion Equations
• Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions

This page was built for publication: Global and blow-up solutions for the nonlocal \(p\)-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition