Permanence of metric fractals.
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Finding linking sets.
An abstract version of the concentration compactness principle.
We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.
An Elliptic Neumann Problem with Subcritical Nonlinearity
We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.
A Liouville-type theorem for the p-laplacian with potential term
Page 1