Cover Image

Regularity for almost minimizers of a one-phase Bernoulli-type functional in Carnot Groups of step two

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ferrari, Fausto, Forcillo, Nicoló, Merlino, Enzo Maria
Format:	Preprint
Published:	2023
Subjects:	Analysis of PDEs 35R35, 35R03
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lipschitz regularity for almost minimizers of a one-phase $p$-Bernoulli-type functional in Carnot Groups of step two
by: Ferrari, Fausto, et al.
Published: (2024)

A counterexample to the monotone increasing behavior of an Alt-Caffarelli-Friedman formula in the Heisenberg group
by: Ferrari, Fausto, et al.
Published: (2022)

Some counterexamples to Alt-Caffarelli-Friedman monotonicity formulas in Carnot groups
by: Ferrari, Fausto, et al.
Published: (2024)

The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation
by: Corni, Francesca, et al.
Published: (2023)

On a fractional Alt-Caffarelli-Friedman-type monotonicity formula
by: Ferrari, Fausto, et al.
Published: (2025)

Free boundary regularity for the inhomogeneous one-phase Stefan problem
by: Ferrari, Fausto, et al.
Published: (2024)

On gradient estimates of the heat semigroups on step-two Carnot groups
by: Mao, Sheng-Chen, et al.
Published: (2024)

Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups
by: Essebei, Fares, et al.
Published: (2023)

Regularity in the two-phase Bernoulli problem for the $p$-Laplace operator
by: Bayrami-Aminlouee, Masoud, et al.
Published: (2023)

Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations
by: Dragoni, Federica, et al.
Published: (2024)

Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth
by: Leone, Chiara, et al.
Published: (2025)

Brezis-Nirenberg type problem for fractional sub-Laplacian on the Heisenberg group
by: Naik, Vikram Yallapa, 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)

Critical singular problems in Carnot groups
by: Biagi, Stefano, et al.
Published: (2025)

Critical concave-convex problems in Carnot groups
by: Galeotti, Mattia, et al.
Published: (2025)

Rectifiability, finite Hausdorff measure, and compactness for non-minimizing Bernoulli free boundaries
by: Kriventsov, Dennis, et al.
Published: (2023)

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
by: Fernández-Real, Xavier, et al.
Published: (2024)

Free boundary regularity for almost minimizers of the parabolic Signorini problem
by: Jeon, Seongmin, et al.
Published: (2024)

Strichartz estimates and its application to the well-posedness of the nonlinear Schrödinger equations on H-type groups
by: Hirayama, Hiroyuki, et al.
Published: (2025)

$C^{1,α}$-Regularity of Quasilinear equations on the Heisenberg Group
by: Mukherjee, Shirsho
Published: (2018)

Lipschitz regularity of solutions to two-phase $p$-Laplacian free boundary problems with right hand side
by: Ferrari, Fausto, et al.
Published: (2026)

Global well-posedness of the one-phase Muskat problem with surface tension
by: Dong, Hongjie, et al.
Published: (2026)

Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group
by: Bui, The Anh, et al.
Published: (2024)

On the blow-up of the vectorial Bernoulli free boundary problem
by: Siclari, Giovanni, et al.
Published: (2026)

Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups
by: Ghosh, Sekhar, et al.
Published: (2025)

The free boundary for a semilinear non-homogeneous Bernoulli problem
by: Du, Lili, et al.
Published: (2023)

Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the $p$-Laplacian
by: Bayrami, Masoud, et al.
Published: (2023)

Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups
by: Hirayama, Hiroyuki, et al.
Published: (2024)

Global hypoellipticity of sums of squares on compact manifolds
by: Araújo, Gabriel, et al.
Published: (2020)

Subelliptic Nonlocal Brezis-Nirenberg Problems on Stratified Lie Groups
by: Ghosh, Sekhar, et al.
Published: (2024)

Critical Equations Involving Nonlocal Subelliptic Operators on Stratified Lie Groups: Spectrum, Bifurcation and Multiplicity
by: Ghosh, Sekhar, et al.
Published: (2025)

Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian
by: Jarohs, Sven, et al.
Published: (2024)

Mixed local-nonlocal $p$-Laplace equation with variable singular nonlinearity in the Heisenberg group
by: Garain, Prashanta
Published: (2025)

Optimal in tail Hölder estimates for weak solutions of the nonlocal parabolic p-Laplace equations on the Heisenberg group
by: Kar, Debraj
Published: (2026)

On the boundary branching set of the one-phase problem
by: Ferreri, Lorenzo, et al.
Published: (2024)

On convex comparison for exterior Bernoulli problems with discontinuous anisotropy
by: Feldman, William M, et al.
Published: (2024)

Fractional operators and Sobolev spaces on homogeneous groups
by: Garofalo, Nicola, et al.
Published: (2026)

Local and Global Analysis of Semilinear Heat Equations with Hardy Potential on Stratified Lie Groups
by: Suragan, Durvudkhan, et al.
Published: (2023)

Construction of low regularity strong solutions to the viscous surface wave equations
by: Gui, Guilong, et al.
Published: (2024)

A Liouville theorem for the $2$-Hessian equation on the Heisenberg group
by: Zhang, Wei, et al.
Published: (2025)