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Displaying 221 – 240 of 614

Regularity of generalized Navier-Stokes equations in terms of direction of the velocity.

Luo, Yuwen (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Regularity of Generalized Solutions of Monge-Ampère Equations.

John I.E. Urbas (1988)

Mathematische Zeitschrift

Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation

Peter Constantin, Jiahong Wu (2008)

Annales de l'I.H.P. Analyse non linéaire

Regularity of Lipschitz free boundaries for the thin one-phase problem

Daniela De Silva, Ovidiu Savin (2015)

Journal of the European Mathematical Society

We study regularity properties of the free boundary for the thin one-phase problem which consists of minimizing the energy functional $E (u, Ω) = \int_{Ω} {| \nabla u |}^{2} d X + ℋ^{n} ({u > 0} \cap {x_{n + 1} = 0}), Ω \subset ℝ^{n + 1},$ among all functions $u \geq 0$ which are fixed on $\partial Ω$ .

Regularity of minima: an invitation to the Dark Side of the Calculus of Variations

Giuseppe Mingione (2006)

Applications of Mathematics

I am presenting a survey of regularity results for both minima of variational integrals, and solutions to non-linear elliptic, and sometimes parabolic, systems of partial differential equations. I will try to take the reader to the Dark Side...

Regularity of minima of variational integrals

Josef Daněček, Eugen Viszus (1999)

Mathematica Slovaca

Regularity of minimal boundaries with obstacles

E. Barozzi, U. Massari (1982)

Rendiconti del Seminario Matematico della Università di Padova

Regularity of minimizers for a class of membrane energies

Emilio Acerbi, Irene Fonseca, Nicola Fusco (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type

Luca Capogna, Nicola Garofalo (2003)

Journal of the European Mathematical Society

We prove the hypoellipticity for systems of Hörmander type with constant coefficients in Carnot groups of step 2. This result is used to implement blow-up methods and prove partial regularity for local minimizers of non-convex functionals, and for solutions of non-linear systems which appear in the study of non-isotropic metric structures with scalings. We also establish estimates of the Hausdorff dimension of the singular set.

Regularity of optimal shapes for the Dirichlet’s energy with volume constraint

Tanguy Briancon (2004)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we prove some regularity results for the boundary of an open subset of $ℝ^{d}$ which minimizes the Dirichlet’s energy among all open subsets with prescribed volume. In particular we show that, when the volume constraint is “saturated”, the reduced boundary of the optimal shape (and even the whole boundary in dimension 2) is regular if the state function is nonnegative.

Regularity of optimal shapes for the Dirichlet's energy with volume constraint

Tanguy Briancon (2010)

ESAIM: Control, Optimisation and Calculus of Variations

In this paper, we prove some regularity results for the boundary of an open subset of $^{d}$ which minimizes the Dirichlet's energy among all open subsets with prescribed volume. In particular we show that, when the volume constraint is “saturated”, the reduced boundary of the optimal shape (and even the whole boundary in dimension 2) is regular if the state function is nonnegative.

Regularity of p-harmonic functions on the plane.

Tadeusz Iwaniec, Juan J. Manfredi (1989)

Revista Matemática Iberoamericana

Regularity of potentials and removability of singularities of solutions of partial differential equations

Král, Josef (1973)

Proceedings of Equadiff III

Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations

Zdeněk Skalák, Petr Kučera (2003)

Applications of Mathematics

In the context of the weak solutions of the Navier-Stokes equations we study the regularity of the pressure and its derivatives in the space-time neighbourhood of regular points. We present some global and local conditions under which the regularity is further improved.

Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data

Andrea Dall'Aglio, Sergio Segura de León (2019)

Czechoslovak Mathematical Journal

We prove boundedness and continuity for solutions to the Dirichlet problem for the equation $- div (a (x, \nabla u)) = h (x, u) + μ, in Ω \subset ℝ^{N},$ where the left-hand side is a Leray-Lions operator from $W_{0}^{1, p} (Ω)$ into $W^{- 1, p^{'}} (Ω)$ with $1 < p < N$ , $h (x, s)$ is a Carathéodory function which grows like ${| s |}^{p - 1}$ and $μ$ is a finite Radon measure. We prove that renormalized solutions, though not globally bounded, are Hölder-continuous far from the support of $μ$ .

Regularity of solutions fo a degenerate elliptic variational problem.

Luigi Ambrosio (1990)

Manuscripta mathematica

Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions

Changchun Liu (2013)

Annales Polonici Mathematici

We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.

Currently displaying 221 – 240 of 614