Displaying similar documents to “A class of growth and bounds to solutions of a differential equation.”

A density theorem.

Alborova, M.S. (2001)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

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Everywhere regularity for vectorial functionals with general growth

Elvira Mascolo, Anna Paola Migliorini (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models is F u = Ω a ( x ) [ h | D u | ] p ( x ) d x with h a convex function with general growth (also exponential behaviour is allowed).

Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Paul H. Rabinowitz (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations