The summability of solutions to variational problems since Guido Stampacchia.

Lucio Boccardo

Displaying similar documents to “The summability of solutions to variational problems since Guido Stampacchia.”

𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations

I. Birindelli, F. Demengel (2014)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.

A remark on the L elevator S-regularity of the minima of functionals of the calculus of variations.

Lucio Boccardo, Rosanna Schianchi (1989)

Revista Matemática de la Universidad Complutense de Madrid

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In this note we study the summability properties of the minima of some non differentiable functionals of Calculus of the Variations.

The $L_{p}$ approach to the Dirichlet problem. Part I : regularity theorems

Shmuel Agmon (1959)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On regularity of solutions of nonlinear parabolic systems

Jindřich Nečas, Vladimír Šverák (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The Dirichlet problem in half-space for elliptic equations with unbounded coefficients

J. H. Chabrowski (1987)

Rendiconti del Seminario Matematico della Università di Padova

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Existence and regularity of minima for integral functionals noncoercive in the energy space

Lucio Boccardo, Luigi Orsina (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Global Regularity of Solutions of Nonlinear Second Order Elliptic and Parabolic Differential Equations.

Gary M. Liebermann (1986)

Mathematische Zeitschrift

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Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p| ∇u) = h(x,u), Part II.

Abderrahmane El Hachimi, François De Thélin (1991)

Publicacions Matemàtiques

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In this paper we consider a nonlinear parabolic equation of the following type: (P) ∂u/∂t - div(|∇p|^p-2 ∇u) = h(x,u) with Dirichlet boundary conditions and initial data in the case when 1 < p < 2. We construct supersolutions of (P), and by use of them, we prove that for t_n → +∞, the solution of (P) converges to some solution of the elliptic equation associated with...