Qualitative analysis for a degenerate Kirchhoff-type diffusion equation involving the fractional \(p\)-Laplacian
From MaRDI portal
Publication:2238965
DOI10.1007/s00245-021-09776-6zbMath1476.35056OpenAlexW3153587674MaRDI QIDQ2238965
Publication date: 2 November 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-021-09776-6
extinctionglobal existenceexponential growthexponential decayvacuum isolating phenomenaanomalous diffusion model
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (3)
The Kirchhoff-type diffusion problem driven by a magnetic fractional Laplace operator ⋮ Qualitative analysis of solutions to a nonlocal Choquard–Kirchhoff diffusion equations in ℝN$$ {\mathbb{R}}^N $$ ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
- On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
- Blow-up for a thin-film equation with positive initial energy
- Local behavior of fractional \(p\)-minimizers
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Global existence and nonexistence of solution for Cauchy problem of two-dimensional generalized Boussinesq equations
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- Asymptotic stability and blow-up of solutions for semi-linear edge-degenerate parabolic equations with singular potentials
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian
- A diffusion problem of Kirchhoff type involving the nonlocal fractional \(p\)-Laplacian
- Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
- The Cauchy problem for a class of the multidimensional Boussinesq-type equation
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Existence of solutions for perturbed fractional \(p\)-Laplacian equations
- Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Global nonexistence for nonlinear Kirchhoff systems
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On the Cauchy problem for a generalized Boussinesq equation
- Saddle points and instability of nonlinear hyperbolic equations
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- Fractional quantum mechanics and Lévy path integrals
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
- Non-local models for the formation of hepatocyte-stellate cell aggregates
- Blow-up and global existence of solutions to a parabolic equation associated with the fraction \(p\)-Laplacian
- Nonlinear parabolic equations with critical initial conditions \(J(u_0)=d\) or \(I(u_0)=0\)
- Global existence and nonexistence for semilinear parabolic equations with conical degeneration
- Existence of solutions for a bi-nonlocal fractional \(p\)-Kirchhoff type problem
- Wave breaking analysis for the periodic rotation-two-component Camassa-Holm system
- Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms
- A multi-dimension blow-up problem to a porous medium diffusion equation with special medium void
- Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- Global existence and blow-up for a fourth order parabolic equation involving the Hessian
- A class of fourth order wave equations with dissipative and nonlinear strain terms
- Potential well method for Cauchy problem of generalized double dispersion equations
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
- On global solution of nonlinear hyperbolic equations
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
- Non-local Diffusions, Drifts and Games
- Variational Methods for Nonlocal Fractional Problems
- Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
This page was built for publication: Qualitative analysis for a degenerate Kirchhoff-type diffusion equation involving the fractional \(p\)-Laplacian
