Cover Image

A generalization of Savin's small perturbation theorem for fully nonlinear elliptic equations and applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Fan, Zhenyu
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A note on the Liouville theorem of fully nonlinear elliptic equations
by: Li, Dongsheng, et al.
Published: (2025)

Regularity for fully nonlinear elliptic equations in generalized Orlicz spaces
by: Byun, Sun-Sig, et al.
Published: (2025)

Liouville theorem for fully nonlinear elliptic equations with the small oscillation and the periodicity in $x$ and the periodic right hand term
by: Liang, Lichun
Published: (2026)

Liouville type theorems for fully nonlinear elliptic equations in exterior domains in half spaces
by: Li, Dongsheng, et al.
Published: (2026)

Higher regularity of solutions to fully nonlinear elliptic equations
by: Nascimento, Thialita M., et al.
Published: (2023)

Quadratic growth solutions of fully nonlinear elliptic equations with periodic data
by: Li, Dongsheng, et al.
Published: (2024)

Regularity for a class of degenerate fully nonlinear nonlocal elliptic equations
by: Fang, Yuzhou, et al.
Published: (2024)

Sup-slopes and sub-solutions for fully nonlinear elliptic equations
by: Guo, Bin, et al.
Published: (2024)

Pointwise boundary estimates for fully nonlinear elliptic equations with nonzero Dirichlet boundary conditions
by: Li, Mengni, et al.
Published: (2025)

Universal regularity estimates for solutions to fully nonlinear elliptic equations with oblique boundary data
by: Bessa, Junior da S., et al.
Published: (2024)

Bôcher type theorem for elliptic equations with drift perturbed Lévy operator
by: Klimsiak, Tomasz
Published: (2025)

Boundary $ C^{1}$ regularity for degenerate fully nonlinear elliptic equations on $ C^{2} $ domain
by: Wang, Jiangwen, et al.
Published: (2026)

Liouville-type theorems for fully nonlinear elliptic and parabolic equations with boundary degeneracy
by: Liu, Qing, et al.
Published: (2024)

Existence theory for elliptic equations of general exponential nonlinearity on finite graphs
by: Hua, Bobo, et al.
Published: (2025)

Holder regularity for fully nonlinear nonlocal equations
by: Cabeza, Juan Pablo
Published: (2024)

C^{1,α} regularity for a class of singular/degenerate fully nonlinear elliptic equations with oblique boundary conditions
by: Byun, Sun-Sig, et al.
Published: (2026)

Ground states of nonlocal elliptic equations with general nonlinearities via Rayleigh quotient
by: Ferraz, Diego, et al.
Published: (2024)

Liouville theorems for fully nonlinear elliptic equations on half spaces
by: Lian, Yuanyuan
Published: (2025)

Liouville theorems and optimal regularity in elliptic equations
by: Tortone, Giorgio
Published: (2022)

Propagation of smallness for solutions of elliptic equations in the plane
by: Zhu, Yuzhe
Published: (2023)

A scattering operator for some nonlinear elliptic equations
by: Côte, Raphaël, et al.
Published: (2023)

High-Order regularity for fully nonlinear elliptic transmission problems under weak convexity assumption
by: Ricarte, G. C., et al.
Published: (2024)

On the smoothness of solutions of fully nonlinear second order equations in the plane
by: Goffi, Alessandro
Published: (2025)

Regularity for fully nonlinear degenerate parabolic equations with strong absorption
by: da Silva, João Vitor, et al.
Published: (2025)

An existence theorem for elliptic equations with nonlocal boundary conditions
by: Lee, Chiun-Chang
Published: (2026)

The structure of fully nonlinear equations and its applications to prescribed problems on complete conformal metrics
by: Yuan, Rirong
Published: (2025)

Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations
by: Goffi, Alessandro
Published: (2024)

Regularity of solutions for degenerate or singular fully nonlinear integro-differential equations
by: Wang, Jiangwen, et al.
Published: (2024)

On the fractional regularity for an elliptic nonlinear singular drift equation
by: Jarrin, Oscar
Published: (2025)

A Liouville-type theorem for an elliptic equation with superquadratic growth in the gradient
by: Filippucci, Roberta, et al.
Published: (2019)

Phragmèn-Lindelöf type theorems for elliptic equations on infinite graphs
by: Biagi, Stefano, et al.
Published: (2024)

Schauder-type estimates for fully nonlinear degenerate elliptic equations
by: Nascimento, Thialita M.
Published: (2024)

Refined regularity for nonlocal elliptic equations and applications
by: Chen, Wenxiong, et al.
Published: (2025)

Nonlocal elliptic systems via nonlinear Rayleigh quotient with general concave and coupling nonlinearities
by: Silva, Edcarlos D., et al.
Published: (2024)

Liouville theorem for subcritical nonlinear heat equation
by: Zhou, Yang
Published: (2025)

Regularity theory for degenerate fully nonlinear nonlocal equations with a Hamiltonian term
by: Fang, Yuzhou, et al.
Published: (2025)

Dirichlet problem for a class of nonlinear degenerate elliptic operators with critical growth and logarithmic perturbation
by: Chen, Hua, et al.
Published: (2024)

Existence and multiplicity of positive solutions to a critical elliptic equation with logarithmic perturbation
by: He, Qihan, et al.
Published: (2025)

Anisotropic elliptic equations involving unbounded coefficients and singular nonlinearities
by: achhoud, Fessel, et al.
Published: (2025)

Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights
by: Miao, Changxing, et al.
Published: (2022)