Special Session 101: 

On $p(x)$-Laplace equations involving Schr\\odinger term and critical growth in the whole space $\\mathbb{R}^N$

Inbo Sim
University of Ulsan
Korea
Co-Author(s):    Ky Ho and Yun-Ho Kim
Abstract:
We obtain concentration-compactness principles for weighted variable exponent spaces that generalize known results. Employing these concentration-compactness principles and suitable imbeddings we obtain some existence results for $p(x)$-Laplace equations in the whole space $\mathbb{R}^N$ involving Schr\odinger term and critical growth.