Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources
From MaRDI portal
Publication:1926156
DOI10.1016/j.nonrwa.2011.12.008zbMath1257.35113OpenAlexW1970837171MaRDI QIDQ1926156
Publication date: 28 December 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.12.008
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09)
Related Items (24)
New approaches for periodic wave solutions of a non-Newtonian filtration equation with variable delay ⋮ Periodic wave solutions of a non-Newtonian filtration equation with an indefinite singularity ⋮ Decay estimate and non-extinction of solutions of \(p\)-Laplacian nonlocal heat equations ⋮ Extinction behavior of solutions for a quasilinear parabolic system with nonlocal sources ⋮ Classification of certain qualitative properties of solutions for the quasilinear parabolic equations ⋮ A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs ⋮ On the extinction problem for a \(p\)-Laplacian equation with a nonlinear gradient source ⋮ Positive periodic wave solutions of singular non-Newtonian filtration equations ⋮ Solitary wave solutions for singular non-Newtonian filtration equations ⋮ Extinction and decay estimates of solutions for a porous medium equation with nonlocal source and strong absorption ⋮ Extinction and decay estimates of solutions for a \(p\)-Laplacian evolution equation with nonlinear gradient source and absorption ⋮ Solitary wave and periodic wave solutions for a non-Newtonian filtration equation ⋮ Extinction and decay estimates of solutions for a non-Newton polytropic filtration system ⋮ Extinction phenomenon and decay estimate for a quasilinear parabolic equation with a nonlinear source ⋮ Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ⋮ Extinction and decay estimates of solutions for a polytropic filtration equation with the nonlocal source and interior absorption ⋮ Extinction properties of solutions for a fast diffusion equation with nonlocal source ⋮ A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions ⋮ Extinction and decay estimates of solutions for the \(p\)-Laplacian equations with nonlinear absorptions and nonlocal sources ⋮ Critical extinction exponents for a polytropic filtration equation with absorption and source ⋮ EXTINCTION AND NON-EXTINCTION OF SOLUTIONS TO A P-LAPLACE EQUATION WITH A NONLOCAL SOURCE AND AN ABSORPTION TERM ⋮ Extinction of solutions in parabolic equations with different diffusion operators ⋮ Critical extinction exponent for a quasilinear parabolic equation with a gradient source ⋮ Extinction for a p-Laplacian equation with gradient source and nonlinear boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The existence and blow-up rate of large solutions of one-dimensional \(p\)-Laplacian equations
- Existence of at least five solutions for a differential inclusion problem involving the \(p(x)\)-Laplacian
- Extinction properties of solutions for a class of fast diffusive \(p\)-Laplacian equations
- Global existence and blow-up solutions for doubly degenerate parabolic system with nonlocal source
- Local and nonlocal weighted \(p\)-Laplacian evolution equations with Neumann boundary conditions
- Multiple solutions for a Kirchhoff-type problem involving the \(p(x)\)-Laplacian operator
- Coexistence and optimal control problems for a degenerate predator-prey model
- Solutions for a \(p(x)\)-Kirchhoff type equation with Neumann boundary data
- Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
- Degenerate parabolic equations
- Local vs. non-local interactions in population dynamics
- Extinction and non-extinction for a \(p\)-Laplacian equation with nonlinear source
- On impulsive hyperbolic differential inclusions with nonlocal initial conditions
- Non-extinction and critical exponent for a polytropic filtration equation
- Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations
- Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential
- Periodic solutions for a class of reaction-diffusion equations with \(p\)-Laplacian
- Existence of solutions for \(p(x)\)-Laplacian nonhomogeneous Neumann problems with indefinite weight
- Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities
- Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
- The extinction behavior of the solutions for a class of reaction-diffusion equations.
- Extinction and positivity for the evolution \(p\)-Laplacian equation in \(\mathbb{R}^n\)
- Blow-up for a system of heat equations with nonlocal sources and absorptions
- 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
- Uniform blow-up rate for diffusion equations with nonlocal nonlinear source
- CRITICAL BLOW-UP AND EXTINCTION EXPONENTS FOR NON-NEWTON POLYTROPIC FILTRATION EQUATION WITH SOURCE
- Blow-up in Nonlocal Reaction-Diffusion Equations
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
This page was built for publication: Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources
