56 research outputs found
Some Problems in the Calculus of Variations
Get PDFAbstract We present some results and open problems in the Calculus of Variations
On Gradient Flows
Get PDFAbstractWe study existence and uniqueness of solutions for the equationx′=∇u(x) whenuis not necessarily differentiable everywhere
The regularity of solutions to some variational problems, including the <i>p</i>-Laplace equation for 3≤<i>p</i> < 4
No full textThe regularity of solutions to some variational problems, including the -Laplace equation for
Get PDFThe regularity of solutions to some variational problems, including the
No full textWe consider the higher differentiability of solutions to the problem of minimizing
\int_{\Omega} [ L(\nabla v(x))+g(x,v(x))]{\rm d}x \quad \hbox {on} \quad u^0+W^{1,p}_0(\Omega) $
Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)
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