Cover Image

Fractional $p$-Laplacians via Neumann problems in unbounded metric measure spaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Capogna, Luca, Gibara, Ryan, Korte, Riikka, Shanmugalingam, Nageswari
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Metric Geometry 30L15, 31E05, 35R11, 35B65, 46E35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Well-posedness of Dirichlet boundary value problems for reflected fractional $p$-Laplace-type inhomogeneous equations in compact doubling metric measure spaces
by: Kline, Josh, et al.
Published: (2024)

On the Dirichlet-to-Neumann Map for the $p$-Laplacian on a Metric Measure Space
by: Gibara, Ryan, et al.
Published: (2024)

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry
by: Gibara, Ryan, et al.
Published: (2024)

Sharp Hölder regularity of weak solutions of the Neumann problem and applications to nonlocal PDE in metric measure spaces
by: Capogna, Luca, et al.
Published: (2025)

An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces
by: Violo, Ivan Yuri
Published: (2025)

Potential Theory of the Fractional-Logarithmic Laplacian: Global Regularity and Critical Compact Embeddings
by: Chen, Rui
Published: (2026)

Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs
by: Butaev, Almaz, et al.
Published: (2026)

Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques
by: Korte, Riikka, et al.
Published: (2026)

Generalized Lipschitz numbers, fine differentiability, and quasiconformal mappings
by: Lahti, Panu
Published: (2022)

Finely quasiconformal mappings
by: Lahti, Panu
Published: (2022)

Sobolev $(p,q)$-extension operators and Neumann eigenvalues
by: Gol'dshtein, Vladimir, et al.
Published: (2024)

A clustering theorem in fractional Sobolev spaces
by: Düzgün, Fatma Gamza, et al.
Published: (2023)

On the Neumann $(p,q)$-eigenvalue problem in Hölder singular domains
by: Garain, Prashanta, et al.
Published: (2023)

Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings
by: Eriksson-Bique, Sylvester, et al.
Published: (2024)

Fractional sublinear Sobolev inequality for $\mathcal{L}-$superharmonic functions
by: May, Aye Chan, et al.
Published: (2025)

On a novel fractional Caputo-derivative Orlicz space
by: Ayoub, Kasmi, et al.
Published: (2024)

Nonlinear Neumann eigenvalues in outward cuspidal domains with weighted measure
by: Menovschikov, Alexander, et al.
Published: (2025)

Compactness of weighted Sobolev trace operators and non-linear Steklov problems
by: Menovschikov, Alexander, et al.
Published: (2026)

Global gradient estimates in weighted Lebesgue spaces for parabolic operators
by: Byun, Sun-Sig, et al.
Published: (2013)

On Fractional Orlicz-Hardy Inequalities
by: Anoop, T. V., et al.
Published: (2024)

Fractional Sobolev spaces and fractional $p$-Laplace equations on locally finite graphs
by: Zhang, Mengjie, et al.
Published: (2025)

Geometric theory of composition operators on Sobolev spaces
by: Gol'dshtein, Vladimir, et al.
Published: (2022)

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

Refined geometric characterizations of weak $p$-quasiconformal mappings
by: Salimov, Ruslan, et al.
Published: (2024)

Harmonic mappings between singular metric spaces
by: Guo, Chang-Yu
Published: (2017)

Boundary regularity for quasiminima of double-phase problems on metric spaces
by: Nastasi, Antonella, et al.
Published: (2024)

On mappings generating embedding operators in Sobolev classes on metric measure spaces
by: Menovschikov, Alexander, et al.
Published: (2024)

On the fractional logarithmic $p$-Laplacian
by: Bahrouni, Anouar, et al.
Published: (2026)

A Boxing Inequality for the Fractional Perimeter
by: Ponce, Augusto C., et al.
Published: (2017)

Density problem for Sobolev spaces on Gehring Hayman domains with the ball separation condition in metric measure spaces
by: Koivu, Jesse
Published: (2025)

Green function in metric measure spaces
by: Bonk, Mario, et al.
Published: (2022)

Second-order estimates for the $p$-Laplacian in RCD spaces
by: Benatti, Luca, et al.
Published: (2024)

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings
by: Biswas, Nirjan, et al.
Published: (2024)

Geometric Estimates for Solutions of Semilinear Equations with Singular Potentials
by: Nascimento, Thialita M., et al.
Published: (2026)

Higher integrability for parabolic PDEs with generalized Orlicz growth
by: Hästö, Peter, et al.
Published: (2025)

Asymptotically quasiconvex functionals with general growth conditions
by: Angrisani, Francesca
Published: (2023)

Existence and uniqueness of solutions in fractional Orlicz-Sobolev spaces for a nonlocal singular elliptic problem
by: Sbai, Abdelaaziz, et al.
Published: (2021)

Elliptic and parabolic equations with rough boundary data in Sobolev spaces with degenerate weights
by: Bekmaganbetov, Bekarys, et al.
Published: (2024)

Nonlinear eigenvalue problems for a biharmonic operator in Orlicz-Sobolev spaces
by: Ochoa, Pablo, et al.
Published: (2024)

The nonlinear Steklov problem in outward cuspidal domains
by: Lamberti, Pier Domenico, et al.
Published: (2026)