Fractional KPZ system with nonlocal ``gradient terms
DOI10.3934/dcds.2023106OpenAlexW4386870822MaRDI QIDQ6085054
Boumediene Abdellaoui, Fethi Mahmoudi, Abdelbadie Younes, Kheireddine Biroud
Publication date: 2 December 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2023106
weak solutioncompactness argumentexistence resultfixed point argumentsnonlocal gradientregularity resultfractional KPZ system
Smoothness and regularity of solutions to PDEs (35B65) Fixed-point theorems (47H10) Hamilton-Jacobi equations in mechanics (70H20) Integro-differential operators (47G20) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Systems of nonlinear higher-order PDEs (35G50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuum of solutions for an elliptic problem with critical growth in the gradient
- On a new class of fractional partial differential equations
- Some remarks on elliptic problems with critical growth in the gradient
- Nonlinear elliptic systems with coupled gradient terms
- Quasilinear Riccati type equations with distributional data in Morrey space framework
- Existence of bounded solutions for non linear elliptic unilateral problems
- Existence and nonexistence of solutions for some nonlinear elliptic equations
- Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small
- Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient
- Growing fractal interfaces in the presence of self-similar hopping surface diffusion
- Semilinear fractional elliptic equations with gradient nonlinearity involving measures
- Morrey global bounds and quasilinear Riccati type equations below the natural exponent
- The extremal solution for the fractional Laplacian
- Gradient Estimates in fractional Dirichlet Problems
- On some nonlocal elliptic systems with gradient source terms
- Dynamic Scaling of Growing Interfaces
- Multiplicity Result for Quasilinear Elliptic Problems with General Growth in the Gradient
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
- Towards a deterministic KPZ equation with fractional diffusion: the stationary problem
- Nonlinear fractional Laplacian problems with nonlocal ‘gradient terms’
- The characterization of functions arising as potentials
- Fractal Hamilton-Jacobi-KPZ equations
- On the existence of positive solutions to semilinear elliptic systems involving gradient term
- Deterministic KPZ-type equations with nonlocal ``gradient terms
