Examples of optimal Hölder regularity in semilinear equations involving the fractional Laplacian
Fuente:
arXiv
Saved in:
| Main Authors: | Csató, Gyula, Mas, Albert |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity
by: Cabre, Xavier, et al.
Published: (2024)
by: Cabre, Xavier, et al.
Published: (2024)
Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results
by: Sanz-Perela, Tomás
Published: (2022)
by: Sanz-Perela, Tomás
Published: (2022)
Boundary Hölder continuity of stable solutions to semilinear elliptic problems in $C^{1,1}$ domains
by: Erneta, Iñigo U.
Published: (2023)
by: Erneta, Iñigo U.
Published: (2023)
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations
by: Figalli, Alessio, et al.
Published: (2021)
by: Figalli, Alessio, et al.
Published: (2021)
Uniformly boundedness of finite Morse index solutions to semilinear elliptic equations with rapidly growing nonlinearities in two dimensions
by: Kumagai, Kenta
Published: (2025)
by: Kumagai, Kenta
Published: (2025)
Topics in elliptic problems: from semilinear equations to shape optimization
by: Tavares, Hugo
Published: (2023)
by: Tavares, Hugo
Published: (2023)
A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
by: Adachi, Shinji, et al.
Published: (2016)
by: Adachi, Shinji, et al.
Published: (2016)
Classification of bifurcation structure for semilinear elliptic equations in a ball
by: Kumagai, Kenta
Published: (2025)
by: Kumagai, Kenta
Published: (2025)
Multiplicity of solutions for semilinear Robin problems involving sign-changing nonlinearities
by: Tapia, José Carmona, et al.
Published: (2025)
by: Tapia, José Carmona, et al.
Published: (2025)
Singular solutions and bifurcation diagram of semilinear elliptic equations with general nonlinearity in two dimensions
by: Kikuchi, Hiroaki, et al.
Published: (2025)
by: Kikuchi, Hiroaki, et al.
Published: (2025)
Bifurcation diagrams for semilinear elliptic equations with singular weights in two dimensions
by: Kumagai, Kenta
Published: (2024)
by: Kumagai, Kenta
Published: (2024)
Bifurcation diagrams of semilinear elliptic equations for supercritical nonlinearities in two dimensions
by: Kumagai, Kenta
Published: (2024)
by: Kumagai, Kenta
Published: (2024)
An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities
by: Kow, Pu-Zhao, et al.
Published: (2025)
by: Kow, Pu-Zhao, et al.
Published: (2025)
Compactness of Green operators with applications to semilinear nonlocal elliptic equations
by: Huynh, Phuoc-Truong, et al.
Published: (2022)
by: Huynh, Phuoc-Truong, et al.
Published: (2022)
Singular semilinear elliptic equations in half-spaces
by: Le, Phuong
Published: (2024)
by: Le, Phuong
Published: (2024)
Strict rearrangement inequalities: nonexpansivity and periodic Gagliardo seminorms
by: Csató, Gyula, et al.
Published: (2024)
by: Csató, Gyula, et al.
Published: (2024)
Improved Hölder regularity of fractional $(p,q)$-Poisson equation with regular data
by: Biswas, Anup, et al.
Published: (2025)
by: Biswas, Anup, et al.
Published: (2025)
Inverse problems for semilinear elliptic equations with low regularity
by: Johansson, David, et al.
Published: (2025)
by: Johansson, David, et al.
Published: (2025)
Lipschitz regularity for Poisson equations involving measures supported on $C^{1,\operatorname{Dini}}$ interfaces
by: Erneta, Iñigo U., et al.
Published: (2024)
by: Erneta, Iñigo U., et al.
Published: (2024)
An interpolation approach to $L^{\infty}$ a priori estimates for elliptic problems with nonlinearity on the boundary
by: Chhetri, Maya, et al.
Published: (2024)
by: Chhetri, Maya, et al.
Published: (2024)
Regularity and explicit $L^\infty$ estimates for a class of nonlinear elliptic systems
by: Chhetri, Maya, et al.
Published: (2025)
by: Chhetri, Maya, et al.
Published: (2025)
Concentration and oscillation analysis of positive solutions to semilinear elliptic equations with exponential growth in a disc
by: Naimen, Daisuke
Published: (2024)
by: Naimen, Daisuke
Published: (2024)
Classification of blow-ups for the Alt--Phillips problem in three dimensions
by: Fernández-Real, Xavier
Published: (2026)
by: Fernández-Real, Xavier
Published: (2026)
A concentration phenomenon for a semilinear Schrödinger equation with periodic self-focusing core
by: Clapp, Mónica, et al.
Published: (2025)
by: Clapp, Mónica, et al.
Published: (2025)
Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction
by: Clapp, Mónica, et al.
Published: (2024)
by: Clapp, Mónica, et al.
Published: (2024)
$L^p$ estimates for the Laplacian via blow-up
by: Lewenstein-Sanpera, Jan, et al.
Published: (2024)
by: Lewenstein-Sanpera, Jan, et al.
Published: (2024)
Global second order optimal regularity for the vectorial $p$-Laplacian
by: Sciunzi, Berardino, et al.
Published: (2025)
by: Sciunzi, Berardino, et al.
Published: (2025)
A quasilinear transmission problem with application to Maxwell equations with a divergence-free $\mathcal D$-field
by: Dohnal, Tomáš, et al.
Published: (2021)
by: Dohnal, Tomáš, et al.
Published: (2021)
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
by: Fujishima, Yohei, et al.
Published: (2024)
by: Fujishima, Yohei, et al.
Published: (2024)
Intervals of bifurcation points for semilinear elliptic problems
by: Tapia, José Carmona, et al.
Published: (2024)
by: Tapia, José Carmona, et al.
Published: (2024)
Hölder regularity for the fractional p-Laplacian, revisited
by: Cassanello, Filippo, et al.
Published: (2024)
by: Cassanello, Filippo, et al.
Published: (2024)
Lipschitz regularity of fractional $p$-Laplacian
by: Biswas, Anup, et al.
Published: (2025)
by: Biswas, Anup, et al.
Published: (2025)
Embedding transmission problems for Maxwell's equations into elliptic theory
by: Godin, Yuri A., et al.
Published: (2026)
by: Godin, Yuri A., et al.
Published: (2026)
Monotonicity and Liouville-type theorems for semilinear elliptic problems in the half space
by: Sciunzi, Berardino, et al.
Published: (2025)
by: Sciunzi, Berardino, et al.
Published: (2025)
Improved regularity estimates for Hardy-Hénon-type equations driven by the $\infty$-Laplacian
by: Júnior, Elzon C. Bezerra, et al.
Published: (2024)
by: Júnior, Elzon C. Bezerra, et al.
Published: (2024)
Weighted estimates for Hodge-Maxwell systems
by: Mahato, Rohit, et al.
Published: (2026)
by: Mahato, Rohit, et al.
Published: (2026)
Rigidity for a semilinear Neumann problem with exponential nonlinearity in the large diffusion limit
by: Seo, Juneyoung
Published: (2026)
by: Seo, Juneyoung
Published: (2026)
Optimal Hölder regularity for solutions to Signorini-type obstacle problems
by: Lee, Ki-Ahm, et al.
Published: (2025)
by: Lee, Ki-Ahm, et al.
Published: (2025)
On a fractional magnetic pseudorelativistic operator: properties and applications
by: Bernini, Federico, et al.
Published: (2024)
by: Bernini, Federico, et al.
Published: (2024)
Global branching for semilinear fractional Laplace with sublinear nonlinearity
by: Abrantes, Jefferson, et al.
Published: (2025)
by: Abrantes, Jefferson, et al.
Published: (2025)
Similar Items
-
Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity
by: Cabre, Xavier, et al.
Published: (2024) -
Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results
by: Sanz-Perela, Tomás
Published: (2022) -
Boundary Hölder continuity of stable solutions to semilinear elliptic problems in $C^{1,1}$ domains
by: Erneta, Iñigo U.
Published: (2023) -
Uniform boundedness for finite Morse index solutions to supercritical semilinear elliptic equations
by: Figalli, Alessio, et al.
Published: (2021) -
Uniformly boundedness of finite Morse index solutions to semilinear elliptic equations with rapidly growing nonlinearities in two dimensions
by: Kumagai, Kenta
Published: (2025)