In this paper, we consider a family of n-dimensional, higher-curvature theories of gravity whose action is given by a series of dimensionally extended conformal invariants. The latter correspond to higher-order generalizations ...

LetQ(4)( c) be a four-dimensional space form of constant curvature c. In this paper we show that the infimum of the absolute value of the Gauss-Kronecker curvature of a complete minimal hypersurface in Q(4)(c), c <= 0, ...

In this work we study an existence and multiplicity of solutions for the prescribed mean-curvature problem with critical growth,-div (del u/root 1+vertical bar del u vertical bar(2)) = lambda vertical bar u vertical bar(q-2) ...

In this work we study an existence and multiplicity of solutions for the prescribed mean-curvature problem with critical growth, -div(Formula Presented), where Ω is a bounded smooth domain of RN, N ≥ 3 and 1 < q < 2. To ...