Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations
DOI10.3233/ASY-211731zbMath1500.35277OpenAlexW3212909442MaRDI QIDQ5046536
Liyan Quan, Jianhao Xiang, Chaoqun Song, Chunyi Li, Mingqi Xiang
Publication date: 31 October 2022
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-211731
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fractional derivatives and integrals (26A33) Chemically reacting flows (80A32) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs in connection with classical thermodynamics and heat transfer (35Q79) PDEs in connection with statistical mechanics (35Q82)
Related Items
Cites Work
- Nonlocal diffusion and applications
- Existence results for fractional \(p\)-Laplacian problems via Morse theory
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- A diffusion problem of Kirchhoff type involving the nonlocal fractional \(p\)-Laplacian
- Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Ground state solutions of scalar field fractional Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Existence of nonnegative solutions for a class of systems involving fractional \((p,q)\)-Laplacian operators
- Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities
- Global existence and blow-up for the fractional \(p\)-Laplacian with logarithmic nonlinearity
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- Recent developments in problems with nonstandard growth and nonuniform ellipticity
- Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- Fractional \(p \& q\) Laplacian problems in \(\mathbb{R}^N\) with critical growth
- Nonlocal Kirchhoff problems: extinction and non-extinction of solutions
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- On global solution of nonlinear hyperbolic equations
- Fractional eigenvalues
- A critical Kirchhoff type problem involving a nonlocal operator
- Non-local Diffusions, Drifts and Games
- Nonlinear Diffusion with Fractional Laplacian Operators
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Variational Methods for Nonlocal Fractional Problems
- A new method to obtain decay rate estimates for dissipative systems
- On solutions of space-fractional diffusion equations by means of potential wells
- Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations
- Regularity and multiplicity results for fractional (p,q)-Laplacian equations
- Asymptotic Expansions of Solutions of Fractional Diffusion Equations
- The Brezis-Nirenberg result for the fractional Laplacian
- Unnamed Item
- Unnamed Item
- Unnamed Item