A selection theorem
Minimizing a functional depending on and on
The Euler Lagrange Equation and the Pontriagin Maximum Principle
We consider the necessary conditions in the Calculus of Variations, expressed by the validity of the Euler Lagrange equation, or of the Pontriagin Maximum Principle; in particular, problems on multi-dimensional domanis are considered.
Some Problems in the Calculus of Variations
We present some results and open problems in the Calculus of Variations.
On the differential inclusion
Si mostra che l’insieme delle soluzioni dell’inclusione è un sottoinsieme della seconda categoria dell’insieme delle soluzioni di .
Fixed points of noncontinuous mappings
Si danno teoremi di punto fisso per applicazioni non necessariamente continue.
The search for fixed points under perturbations
Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions
On the existence of variations, possibly with pointwise gradient constraints
We propose a necessary and sufficient condition about the existence of variations, , of non trivial solutions to the differential inclusion .
A continuous version of Liapunov's convexity theorem
On a problem of potential wells.
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