Optimal regularity of lower dimensional obstacle problems.
Optimal time and space regularity for solutions of degenerate differential equations
We derive optimal regularity, in both time and space, for solutions of the Cauchy problem related to a degenerate differential equation in a Banach space X. Our results exhibit a sort of prevalence for space regularity, in the sense that the higher is the order of regularity with respect to space, the lower is the corresponding order of regularity with respect to time.
Parabolic equations with coefficients depending on t and parameters
Parabolic equations with VMO coefficients in Morrey spaces.
Parabolic q-Minima and minimal solutions to variational flow.
Paracomposition et application aux équations non-linéaires
Paramétrixe et propagation des singularités pour des opérateurs à caractéristiques non involutives
Partial compactness for the 2-D Landau-Lifshitz flow.
Partial continuity for elliptic problems
Partial Hölder continuity for quasilinear parabolic systems of higher order with strictly controlled growth
Sfruttando i risultati di [1], si prova che le derivate spaziali di ordine con delle soluzioni in di un sistema parabolico quasilineare di ordine con andamenti strettamente controllati, sono parzialmente hölderiane in con esponente di hölderianità decrescente al crescere di .
Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth
Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems
Partial Hölder continuity results for solutions of non linear non variational elliptic systems with strictly controlled growth
Partial Hölder continuity results for solutions of non linear non variational elliptic systems with limit controlled growth
Let be a bounded open subset of , , of class . Let a solution of elliptic non linear non variational system where and are vectors in , , measurable in , continuous in and respectively. Here, we demonstrate that if has limit controlled growth, if is of class in and satisfies the Campanato condition and, together with , certain continuity assumptions, then the vector is partially Hölder continuous for every exponent .
Partial regularity for flows of -surfaces.
Partial regularity for flows of -surfaces. II.
Partial regularity for minimizers of variational integrals with discontinuous integrands
Partial regularity of minimizers of quasiconvex integrals
Partial regularity of solution to generalized Navier-Stokes problem
In the presented work, we study the regularity of solutions to the generalized Navier-Stokes problem up to a C 2 boundary in dimensions two and three. The point of our generalization is an assumption that a deviatoric part of a stress tensor depends on a shear rate and on a pressure. We focus on estimates of the Hausdorff measure of a singular set which is defined as a complement of a set where a solution is Hölder continuous. We use so-called indirect approach to show partial regularity, for dimension...
Partial regularity results up to the boundary for harmonic maps into a Finsler manifold