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Weak solutions and regularity of the interface in an inhomogeneous free boundary problem for the p (x)-Laplacian
(European Mathematical Society, 2017-04)
In this paper we study a one phase free boundary problem for the p (x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C1,α surface in a neighborhood of every "flat" free ...
Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
(2021-06-01)
Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in C n -regularizations of Filippov ...
Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side
(Pergamon-Elsevier Science Ltd, 2021-11)
We consider viscosity solutions to a one-phase free boundary problem for the p(x)-Laplacian with non-zero right hand side. We apply the tools developed in De Silva (2011) to prove that flat free boundaries are C1,α. Moreover, ...
Higher-order boundary regularity estimates for nonlocal parabolic equations
(Springer, 2018-10)
We establish sharp higher-order Hölder regularity estimates up to the boundary for solutions to equations of the form ∂tu- Lu= f(t, x) in I× Ω where I⊂ R, Ω ⊂ Rn and f is Hölder continuous. The nonlocal operators L that ...
Regularization of Building Roof Boundaries from Airborne LiDAR Data Using an Iterative CD-Spline
(Mdpi, 2020-06-01)
Building boundaries play an essential role in many applications such as urban planning and production of 3D realistic views. In this context, airborne LiDAR data have been explored for the generation of digital building ...
Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)
Boundary of Maximal Monotone Operators Values
(Springer, 2020)
We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to ...
Nonlinear problems with solutions exhibiting a free boundary on the boundary
(Gauthier-villars/editions ElsevierParisFrança, 2005)
An optimization problem with volume constraint for an inhomogeneous operator with nonstandard growth
(American Institute of Mathematical Sciences, 2021-06)
We consider an optimization problem with volume constraint for an energy functional associated to an inhomogeneous operator with nonstandard growth. By studying an auxiliary penalized problem, we prove existence and ...
Critical points of the regular part of the harmonic Green function with Robin boundary condition
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2008)