Paolo Cubiotti ) ?KJAHAN=FA J IA HA?AJ ANEIJA?A HAIKJI  E FE?EJ L=HE=JE= EAGK=EJEAI

We determine the sets B which have the property of being invariant under projections onto lines through 0 subject to a weak boundedness type requirement. Keywords: convex,

Keywords: vector spaces, linear and affine subspaces, linear relations AMS Subject Classification: Primary 26E25; Secondary 15A03,

L is an elliptic second order operator with discontinuous coefficients (V M O) and the lower order terms belong to suitable Lebesgue spaces. Keywords: elliptic equations,

Abstract: We provide an explicit example of a nonlinear second order elliptic sys- tem of two equations in three dimension to compare two C 0,γ -regularity theories.. We show that,

It is also shown that X has an open dense subspace which is not paracompact and that in ZF the Principle of Dependent Choice, DC, does not imply the disjoint union of metrizable

In particular, we show that for any subsolution of the Hamilton-Jacobi equation (∗) there exists a minimizing sequence weakly convergent to this subsolution. The variational problem

We prove the equivalence of the τ aw and τ K c topolo- gies on G, where τ aw is the so called Attouch-Wets topology, defined in terms of uniform convergence of distance functionals,

Keywords: point of complete accumulation, linearly Lindel¨of space, local com- pactness, first countability, κ-accessible diagonal. AMS Subject Classification: 54F99,