Cover Image

On a family of fully nonlinear integro-differential operators: From fractional Laplacian to nonlocal Monge-Ampère

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Caffarelli, Luis A., Soria-Carro, María
Format:	Preprint
Published:	2021
Subjects:	Analysis of PDEs Primary: 35J60. Secondary: 35B65, 35J96
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Fast Bellman algorithm for real Monge-Ampere equation
by: Le, Aleksandra, et al.
Published: (2025)

Fully nonlinear parabolic fixed transmission problems
by: Jesus, David, et al.
Published: (2025)

Cordes-Nirenberg type results for nonlocal equations with deforming kernels
by: Prazeres, Disson dos, et al.
Published: (2022)

Boundary $C^{2, α}$ Regularity for the Oblique Boundary Value Problem of Monge-Ampère Equations
by: Jian, Huaiyu, et al.
Published: (2021)

Asymptotic expansion at infinity of solutions to Monge-Ampère equation with $C^α$ right term
by: Qi, Shuai, et al.
Published: (2025)

Monge-Ampère equation with Guillemin boundary condition in high dimension
by: Huang, Genggeng, et al.
Published: (2024)

On a class of Cauchy problems with applications in nonlinear partial differential equations
by: Jiang, Feida, et al.
Published: (2026)

Optimal asymptotic expansion of entire solutions to Monge-Ampère equation with $C^α$ perturbed periodic data
by: Qi, Shuai, et al.
Published: (2025)

Lipschitz regularity for Poisson equations involving measures supported on $C^{1,\operatorname{Dini}}$ interfaces
by: Erneta, Iñigo U., et al.
Published: (2024)

The pluricomplex Green function of the Monge-Ampère equation for $(n-1)$-plurisubharmonic functions and form type $k$-Hessian equations
by: Li, Shuimu
Published: (2024)

On a gradient term for a class of second-order PDEs and applications to the infinity Laplace equation
by: de Oliveira, José Francisco
Published: (2025)

Gradient regularity for fully nonlinear equations with degenerate coefficients
by: Jesus, David, et al.
Published: (2023)

Robin problem with measure data and singular nonlinearities on the boundary
by: Rozkosz, Andrzej
Published: (2025)

Global fractional Sobolev regularity for fully nonlinear elliptic equations
by: Alcantara, Claudemir, et al.
Published: (2024)

A Volumetric Approach to Monge's Optimal Transport on Surfaces
by: Tsai, Richard, et al.
Published: (2023)

Nonconforming virtual element method for the Monge-Ampère equation
by: Congreve, Scott, et al.
Published: (2026)

Pointwise regularity for locally uniformly elliptic equations and applications
by: Lian, Yuanyuan, et al.
Published: (2024)

Multiplicity results for fully nonlinear elliptic equations with natural gradient growth
by: Mallick, Mohan, et al.
Published: (2024)

On $p(x)$-Laplacian equations in $\mathbb{R}^{N}$ with nonlinearity sublinear at zero
by: Liu, Shibo, et al.
Published: (2024)

Two Necessary and Sufficient Conditions to the Solvability of the Exterior Dirichlet Problem for the Monge-Ampère Equation
by: Wang, Cong, et al.
Published: (2024)

Interior $C^{2,α}$ regularity for fully nonlinear uniformly elliptic equations in dimension two
by: Zhang, Kai
Published: (2025)

Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy
by: Robert, Frédéric
Published: (2024)

Interior $C^2$ estimate for Hessian quotient equation in general dimension
by: Lu, Siyuan
Published: (2024)

Strong maximum principle for generalized solutions to equations of the Monge-Ampère type
by: Jian, Huaiyu, et al.
Published: (2024)

Solving the fully nonlinear Monge-Ampère equation using the Legendre-Kolmogorov-Arnold Network method
by: Hu, Bingcheng, et al.
Published: (2025)

A quantitative Hopf-Oleinik lemma for degenerate fully nonlinear operators and applications to free boundary problems
by: Giovagnoli, Davide, et al.
Published: (2025)

Sharp multiscale control for high order nonlinear equations
by: Robert, Frédéric
Published: (2025)

On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights in the case of $p=1$
by: Horiuchi, Toshio
Published: (2025)

Regularity of solutions to variable-exponent degenerate mixed fully nonlinear local and nonlocal equations
by: Oza, Priyank, et al.
Published: (2023)

A gradient type term for the $k$-Hessian equation
by: Cardoso, Mykael de Araújo, et al.
Published: (2023)

Robust and fast iterative method for the elliptic Monge-Ampère equation
by: Köhle, R. N., et al.
Published: (2025)

Sharp lower bound for the Monge-Ampère torsion on convex sets
by: Salerno, Francesco
Published: (2026)

Sharp regularity for a class of degenerate/singular fully nonlinear elliptic equations with Hamiltonian terms
by: Huo, Wentao, et al.
Published: (2026)

Prescribed $L_p$ quotient curvature problem and related eigenvalue problem
by: Mei, Xinqun, et al.
Published: (2024)

Normalized ground states for nonlinear Schrödinger equations with general Sobolev critical nonlinearities
by: Liu, Manting, et al.
Published: (2022)

Quantization for sequences of blow-up solutions to an elliptic equation having nonlocal exponential nonlinearity
by: Gluck, Mathew
Published: (2025)

Interior regularity estimates for fully nonlinear equations with arbitrary nonhomogeneous degeneracy laws
by: Andrade, Pêdra D. S., et al.
Published: (2025)

Improved regularity estimates for Hardy-Hénon-type equations driven by the $\infty$-Laplacian
by: Júnior, Elzon C. Bezerra, et al.
Published: (2024)

Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications
by: Bhakta, Mousomi, et al.
Published: (2026)

On the solutions of a double-phase Dirichlet problem involving the 1-Laplacian
by: Matsoukas, Alexandros, et al.
Published: (2025)