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
Permanence of metric fractals.
Nonlinear subelliptic Schrödinger equations with external magnetic field.
Finding linking sets.
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