GLOBAL EXISTENCE AND FINITE TIME BLOW-UP OF SOLUTIONS TO A NONLOCAL P-LAPLACE EQUATION
From MaRDI portal
Publication:4959435
DOI10.3846/mma.2019.014zbMath1472.35235OpenAlexW2913673441WikidataQ128442853 ScholiaQ128442853MaRDI QIDQ4959435
Publication date: 13 September 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/mma.2019.014
Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92) Integro-partial differential equations (35R09)
Related Items
Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity ⋮ Asymptotic behavior of solutions for a new general class of parabolic Kirchhoff type equation with variable exponent sources ⋮ Blow‐up and energy decay for a class of wave equations with nonlocal Kirchhoff‐type diffusion and weak damping ⋮ Existence and nonexistence of solutions of thin-film equations with variable exponent spaces ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ On \(p\)-Kirchhoff-type parabolic problems ⋮ Blow-up properties of solutions to a class of \(p\)-Kirchhoff evolution equations ⋮ Asymptotic behavior of global solutions to a class of mixed pseudo-parabolic Kirchhoff equations ⋮ Unnamed Item ⋮ Initial boundary value problem of a class of mixed pseudo-parabolic Kirchhoff equations ⋮ Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity ⋮ Global existence and blow-up of solutions for a \(\mathtt{p}\)-Kirchhoff type parabolic equation with logarithmic nonlinearity ⋮ Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents
Cites Work
- Unnamed Item
- Global existence, blow up and extinction for a class of thin-film equation
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
- A diffusion problem of Kirchhoff type involving the nonlocal fractional \(p\)-Laplacian
- Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: Time-decay estimates
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On a global solution of some quasilinear hyperbolic equation
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Saddle points and instability of nonlinear hyperbolic equations
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- A class of fourth-order parabolic equation with arbitrary initial energy
- Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- Remarks on a nonlocal problem involving the Dirichlet energy
- On global solution of nonlinear hyperbolic equations
- Blow-up and extinction for a thin-film equation with initial-boundary value conditions
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- On global solvability of non‐linear viscoelastic equations in the analytic category
- Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent
