Cover Image

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fernández-Real, Xavier, Gruen, Florian
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35R35, 35B65, 35N25, 35A02
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Global solutions to the thin obstacle problem with superquadratic growth
by: Fernández-Real, Xavier, et al.
Published: (2025)

Classification of blow-ups for the Alt--Phillips problem in three dimensions
by: Fernández-Real, Xavier
Published: (2026)

Two-phase free boundary problems for a class of fully nonlinear double-divergence systems
by: Andrade, Pêdra D. S., et al.
Published: (2023)

Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian
by: Hernández-Santamaría, Víctor, et al.
Published: (2024)

Boundary regularity of a fourth order Alt-Caffarelli problem and applications to the minimization of the critical buckling load
by: Lamboley, Jimmy, et al.
Published: (2025)

Non-autonomous overdetermined problems for the normalized p-Laplacian
by: Cadeddu, Lucio, et al.
Published: (2022)

Nonexistence Results for a General Class of Parabolic Problems with a Potential on Weighted Graphs
by: von Criegern, Dorothea-Enrica
Published: (2025)

Uniqueness and Nondegeneracy of ground states of $ -Δu + (-Δ)^s u+u = u^{p+1} \quad \hbox{in $\mathbb{R}^n$}$ when $s$ is close to $0$ and $1$
by: Su, Xifeng, et al.
Published: (2024)

A brush problem. Homogenization involving thin domains and PDEs in graphs
by: Arrieta, José M., et al.
Published: (2026)

Numerical Algorithms for the Reconstruction of Space-Dependent Sources in Thermoelasticity
by: Maes, Frederick, et al.
Published: (2024)

Borderline regularity in singular free boundary problems
by: Araújo, Damião J., et al.
Published: (2025)

An improved Liouville-type theorem for the stationary tropical climate model
by: Cho, Youseung, et al.
Published: (2023)

Varifold convergence of free boundary Allen--Cahn equation
by: An, Jingeon, et al.
Published: (2025)

Simultaneously recover two constant coefficients and a polygon with a single pair of Cauchy data for the Helmholtz equation
by: Xu, Xiaoxu, et al.
Published: (2025)

Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes
by: Mengesha, Tadele, et al.
Published: (2024)

Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity
by: Araújo, Damião J., et al.
Published: (2024)

Regularity of Lipschitz free boundaries for weak solutions of Alt-Caffarelli type problems
by: Domingo-Pasarin, Joan, et al.
Published: (2026)

Optimal regularity at the free boundary in one-dimensional first-order mean field games
by: Munoz, Sebastian
Published: (2026)

Positive solutions to general semilinear overdetermined boundary problems
by: Enciso, Alberto, et al.
Published: (2024)

Finite index solutions to the Bernoulli problem in three dimensions are axially symmetric
by: Fernández-Real, Xavier, et al.
Published: (2026)

Dimension of the singular set in the parabolic obstacle problem
by: Martínez, Alejandro, et al.
Published: (2026)

Higher regularity in nonlocal free boundary problems
by: Barrios, Begoña, et al.
Published: (2025)

On the well-posedness of two-dimensional Muskat problem with an elastic interface
by: Wan, Lizhe, et al.
Published: (2026)

Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: strong boundary interactions
by: Mel'nyk, Taras, et al.
Published: (2023)

Global regularity and free boundary geometry in the planar Choné-Rochet model
by: Chen, Shibing, et al.
Published: (2026)

On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and singular potential: well-posedness, regularity and asymptotic limits
by: Lv, Maoyin, et al.
Published: (2024)

Evolution equations on co-evolving graphs: long-time behaviour and the graph continuity equation
by: Carrillo, José Antonio, et al.
Published: (2025)

Nonexistence of solutions to parabolic problems with a potential on weighted graphs
by: Monticelli, Dario D., et al.
Published: (2024)

Fractional Dirichlet problems with an overdetermined nonlocal Neumann condition
by: Gatti, Michele, et al.
Published: (2025)

Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up
by: Lafleche, Laurent, et al.
Published: (2018)

Cauchy problem for the time-fractional generalized Kuramoto-Sivashinsky equation
by: Ashurov, R. R., et al.
Published: (2026)

Parabolic free boundary phase transition and mean curvature flow
by: An, Jingeon, et al.
Published: (2025)

Extinction rates for nonradial solutions to the Stefan problem
by: Fioravanti, Gabriele, et al.
Published: (2025)

On evolution PDEs on co-evolving graphs
by: Esposito, Antonio, et al.
Published: (2023)

Integro-Differential Elliptic Equations
by: Fernández-Real, Xavier, et al.
Published: (2024)

The obstacle problem for a higher order fractional Laplacian
by: Danielli, Donatella, et al.
Published: (2023)

Generic regularity in time for solutions of the Stefan problem in 4+1 dimensions
by: Colombo, Giacomo
Published: (2025)

Compact contact sets of sub-quadratic solutions to the thin obstacle problem
by: Eberle, Simon, et al.
Published: (2023)

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

Stability estimate for the discrete Calderon problem from partial data
by: Zhao, Xiaomeng, et al.
Published: (2024)