Cover Image

Lipschitz regularity for Poisson equations involving measures supported on $C^{1,\operatorname{Dini}}$ interfaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Erneta, Iñigo U., Soria-Carro, María
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35B65, 35J25 (Primary) 35J05 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Boundary Hölder continuity of stable solutions to semilinear elliptic problems in $C^{1,1}$ domains
by: Erneta, Iñigo U.
Published: (2023)

On a family of fully nonlinear integro-differential operators: From fractional Laplacian to nonlocal Monge-Ampère
by: Caffarelli, Luis A., et al.
Published: (2021)

Analysis of linear elliptic equations with general drifts and $L^1$-zero-order terms
by: Lee, Haesung
Published: (2024)

Transmission problems for simply connected domains in the complex plane
by: Carro, María J., et al.
Published: (2024)

Homogenization for the Poisson equation in domains perforated by random closed sets
by: Sato, Naoto
Published: (2026)

Equivalent Characterizations and Their Applications of Solvability of $L^p$ Poisson--Robin(-Regularity) Problems on Rough Domains
by: Fu, Xuelian, et al.
Published: (2025)

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)

On the traces of harmonic functions $H^{1/2}$ and $H^{3/2}$ in Lipschitz domains
by: Amrouche, Chérif, et al.
Published: (2026)

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

The Dirichlet problem as the boundary of the Poisson problem: A sharp approximation result
by: Mourgoglou, Mihalis, et al.
Published: (2026)

Sommerfeld Radiation Condition for Helmholtz Equations with long-range Potentials
by: Ströher, Eric
Published: (2024)

Lipschitz regularity for anisotropic fully nonlinear equations with nonstandard growth
by: Byun, Sun-Sig, et al.
Published: (2025)

Lipschitz regularity for fully nonlinear elliptic equations with $(p,q)$-growth
by: Byun, Sun-Sig, et al.
Published: (2025)

Neumann problem on a torus
by: Ashtab, Z., et al.
Published: (2022)

Blow-up solutions for mean field equations with non-quantized singularities on Riemann surfaces with boundary
by: Ahmedou, Mohameden, et al.
Published: (2026)

A parabolic free transmission problem: flat free boundaries are smooth
by: Kriventsov, Dennis, et al.
Published: (2024)

On approximation of solutions to the heat equation from Lebesgue class $L^2$ by more regular solutions
by: Shlapunov, Alexander
Published: (2022)

Examples of optimal Hölder regularity in semilinear equations involving the fractional Laplacian
by: Csató, Gyula, et al.
Published: (2024)

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

Inner regularity and Liouville theorems for stable solutions to the mean curvature equation
by: Xu, Fanheng
Published: (2026)

The Poisson problem in domains with Ahlfors regular boundary
by: Barton, Ariel, et al.
Published: (2026)

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients
by: Picerni, Marco
Published: (2025)

Tangential approach in the Dirichlet problem for elliptic equations
by: Bennett, Jonathan, et al.
Published: (2025)

Variational solutions of the Dirichlet problem, Lebesgue's cusp and non-local properties
by: Arendt, Wolfgang, et al.
Published: (2025)

Fine regularity for elliptic systems with discontinuous ingredients
by: Palagachev, Dian, et al.
Published: (2004)

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

Solvability of the Poisson-Dirichlet problem with interior data in $L^{p'}$-Carleson spaces and its applications to the $L^{p}$-regularity problem
by: Mourgoglou, Mihalis, et al.
Published: (2022)

Global second order optimal regularity for the vectorial $p$-Laplacian
by: Sciunzi, Berardino, et al.
Published: (2025)

A note on the shift theorem for the Laplacian in polygonal domains (extended version)
by: Melenk, Jens Markus, et al.
Published: (2024)

An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data
by: Kriventsov, Dennis, et al.
Published: (2025)

Well-posedness of linear elliptic equations with $L^d$-drifts under divergence-type conditions
by: Lee, Haesung
Published: (2026)

Optimal $C^{1,α}$ regularity up to the boundary for fully nonlinear elliptic equations with double phase degeneracy
by: Bessa, Junior da Silva, et al.
Published: (2026)

$C^{1,α}$ regularity for degenerate fully nonlinear elliptic equations with oblique boundary conditions on $C^1$ domains
by: Byun, Sun-Sig, et al.
Published: (2024)

A nonlinear Calderón-Zygmund $ L^2$-theory for the Dirichlet problem involving $ -|Du|^γΔ^N_p u=f$
by: Miao, Qianyun, et al.
Published: (2024)

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

Boundary estimates for non-divergence equations in $C^1$ domains
by: Torres-Latorre, Clara
Published: (2024)

Heat Kernel Estimates for Schrödinger Operators in the Domain Above a Bounded Lipschitz Function
by: Graves-McCleary, Anthony
Published: (2025)

Non-Positivity of the heat equation with non-local Robin boundary conditions
by: Glück, Jochen, et al.
Published: (2024)

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

Robin Problems of Elliptic Equations on Rough Domains: Hölder Regularity, Green's Functions, and Harmonic Measures
by: Wang, Jiayi, et al.
Published: (2025)