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11 papers · 2 filters
Lipschitz regularity of the eigenfunctions on optimal domains
Dorin Bucur, Dario Mazzoleni, Aldo Pratelli +1
We study the optimal sets for spectral functionals , which are bi-Lipschitz with respect to each of the eigenvalues $λ_1…
Boundary regularity for degenerate and singular parabolic equations
Anders Björn, Jana Björn, Ugo Gianazza +1
We characterise regular boundary points of the parabolic -Laplacian in terms of a family of barriers, both when and . Due to the fact that , it turns out t…
On the transversality conditions and their genericity
Virginia Agostiniani, Riccarda Rossi, Giuseppe Savaré
In this note we review some results on the transversality conditions for a smooth Fredholm map between two Banach spaces . These conditions are well-…
Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems
Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
Balanced Viscosity solutions to rate-independent systems arise as limits of regularized rate-independent flows by adding a superlinear vanishing-viscosity dissipation. We address t…
Exponential relaxation to self-similarity for the superquadratic fragmentation equation
Pierre Gabriel, Francesco Salvarani
We consider the self-similar fragmentation equation with a superquadratic fragmentation rate and provide a quantitative estimate of the spectral gap.
Subdifferential calculus and doubly nonlinear evolution equations in L^p spaces with variable exponents
Goro Akagi, Giulio Schimperna
This paper is concerned with the Cauchy-Dirichlet problem for a doubly nonlinear parabolic equation involving variable exponents and provides some theorems on existence and regular…