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Keyword: fractional Sobolev spaces
Papers related to keyword:
F. Bianchi
-
G. Stefani
-
A. C. Zagati
(Submitted Paper)
A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodeckiĭ spaces
(2024)
D. Mucci
(
Journal of Functional Analysis
)
The relaxed energy of fractional Sobolev maps with values into the circle
(2024)
F. Bianchi
-
L. Brasco
(Accepted Paper:
J. London Math. Soc.
)
An optimal lower bound in fractional spectral geometry for planar sets with topological constraints
(2023)
P. Ambrosio
(
Forum Mathematicum
)
Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation
(2023)
F. Bianchi
-
L. Brasco
-
A. C. Zagati
(Accepted Paper:
Math. Ann.
)
On the sharp Hardy inequality in Sobolev-Slobodeckii spaces
(2023)
L. Brasco
-
F. Prinari
-
F. Sk
(Accepted Paper:
J. Funct. Anal.
)
On Morrey's inequality in Sobolev-Slobodeckij spaces
(2023)
A. Carbotti
-
S. Cito
-
D. A. La Manna
-
D. Pallara
(
Fractional Calculus and Applied Analysis
)
Asymptotics of the $s$-fractional Gaussian perimeter as $s\to 0^+$
(2022)
F. Bianchi
-
L. Brasco
-
F. Sk
-
A. C. Zagati
(Accepted Paper:
Rev. Mat. Complut.
)
A note on the supersolution method for Hardy's inequality
(2022)
D. Mucci
(Accepted Paper:
Ann. Fac. Sci. Toulouse Math
)
Strong density results for manifold valued fractional Sobolev maps
(2022)
A. Carbotti
-
G. E. Comi
(
Communications on Pure and Applied Analysis
)
A note on Riemann-Liouville fractional Sobolev spaces
(2021)
L. Brasco
- D. Gómez-Castro - J. L. Vazquez (Accepted Paper:
Calc. Var. Partial Differential Equations
)
Characterisation of homogeneous fractional Sobolev spaces
(2020)
K. Bal -
K. Mohanta
- P. Roy (
Nonlinear Analysis
)
Bourgain-Brezis-Mironescu domains
(2020)
G. E. Comi
-
G. Stefani
(
Journal of Functional Analysis
)
A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up
(2019)
C. De Filippis -
G. Palatucci
(
J. Differential Equations
)
Hölder regularity for nonlocal double phase equations
(2019)
L. Brasco
- A. Salort (Accepted Paper:
Ann. Mat. Pura Appl.
)
A note on homogeneous Sobolev spaces of fractional order
(2018)
G. Palatucci
(
Nonlinear Analysis
)
The Dirichlet problem for the $p$-fractional Laplace equation
(2018)
J. Korvenpaa - T. Kuusi -
G. Palatucci
(
Math. Ann.
)
Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations
(2017)
L. Brasco
-
F. Santambrogio
(Accepted Paper:
Commun. Contemp. Math.
)
A sharp estimate à la Calderón-Zygmund for the $p-$Laplacian
(2017)
L. Brasco
-
E. Cinti
(Accepted Paper:
Discrete Contin. Dyn. Syst. Ser. A
)
On fractional Hardy inequalities in convex sets
(2017)
J. Korvenpaa - T. Kuusi -
G. Palatucci
(
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
)
Hölder continuity up to the boundary for a class of fractional obstacle problems
(2016)
A. Di Castro
- T. Kuusi -
G. Palatucci
(
Ann. Inst. H. Poincare Anal. Non Lineaire
)
Local behavior of fractional p-minimizers
(2016)
J. Korvenpaa - T. Kuusi -
G. Palatucci
(
Calc. Var. Partial Differential Equations
)
The obstacle problem for nonlinear integro-differential operators
(2016)
J. Korvenpaa - T. Kuusi -
G. Palatucci
(
Electron. J. Differential Equations
)
A note on fractional supersolutions
(2016)
S. Dipierro -
G. Palatucci
- E. Valdinoci (
Comm. Math. Phys.
)
Dislocation dynamics in crystals: a macroscopic theory in a fractional Laplace setting
(2015)
G. Palatucci
- A. Pisante -
Y. Sire
(
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5)
)
Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach
(2015)
G. Palatucci
- A. Pisante (
Calc. Var. Partial Differential Equations
)
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
(2014)
A. Di Castro
- T. Kuusi -
G. Palatucci
(
J. Funct. Anal.
)
Nonlocal Harnack inequalities
(2014)
S. Dipierro -
A. Figalli
-
G. Palatucci
- E. Valdinoci (
Discrete Contin. Dyn. Syst.
)
Asymptotics of the $s$-perimeter as $s \searrow 0$
(2013)
S. Dipierro -
G. Palatucci
- E. Valdinoci (
Le Matematiche (Catania)
)
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
(2013)
A. Di Castro
-
G. Palatucci
(
J. Convex Anal.
)
Fractional regularity for nonlinear elliptic problems with measure data
(2013)
E. Di Nezza -
G. Palatucci
- E. Valdinoci (
Bull. Sci. math.
)
Hitchhiker's guide to the fractional Sobolev spaces
(2012)
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