Non-local diffusion equations involving the fractional \(p(\cdot)\)-Laplacian
From MaRDI portal
Publication:2181115
DOI10.1007/s10884-019-09745-2zbMath1473.35350OpenAlexW2928787061MaRDI QIDQ2181115
Publication date: 18 May 2020
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-019-09745-2
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92)
Related Items (5)
Long-time behavior of solutions for a fractional diffusion problem ⋮ Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition ⋮ On asymptotic behavior for a class of diffusion equations involving the fractional \(\wp (\cdot)\)-Laplacian as \(\wp (\cdot)\) goes to \(\infty\) ⋮ The normal contraction property for non-bilinear Dirichlet forms ⋮ A stability result of a fractional heat equation and time fractional diffusion equations governed by fractional fluxes in the Heisenberg group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local Lipschitz continuity of the inverse of the fractional \(p\)-Laplacian, Hölder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains
- Existence results for fractional \(p\)-Laplacian problems via Morse theory
- Hitchhiker's guide to the fractional Sobolev spaces
- Global Hölder regularity for the fractional \(p\)-Laplacian
- Lebesgue and Sobolev spaces with variable exponents
- Fractional diffusion limit for collisional kinetic equations
- Stability of variational eigenvalues for the fractional \(p\)-Laplacian
- Functional analysis, Sobolev spaces and partial differential equations
- Monotone (nonlinear) operators in Hilbert space
- Censored stable processes
- Fractional quantum mechanics and Lévy path integrals
- On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
- Traces for fractional Sobolev spaces with variable exponents
- Minimax theorems
- Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian
- The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
- Boundary trace embedding theorems for variable exponent Sobolev spaces
- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- The Dirichlet problem for the fractional \(p\)-Laplacian evolution equation
- Fractional eigenvalues
- A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions
- Non-local Diffusions, Drifts and Games
- Nonlocal Operators with Applications to Image Processing
- Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces
- Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians
- On solutions of space-fractional diffusion equations by means of potential wells
- Fractional p-eigenvalues
- Elliptic-like regularization of a fully nonlinear evolution inclusion and applications
This page was built for publication: Non-local diffusion equations involving the fractional \(p(\cdot)\)-Laplacian