Critical nonlinear elliptic equations with singularities and cylindrical symmetry
Critical nonlinear elliptic equations with singularities and cylindrical symmetry
Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in \mathbb{R}^{N} with cylindrical symmetry and with singularities on a whole subspace of \mathbb{R}^{N} . We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version …