Nonlinear Schrodinger equation with unbounded or decaying radial potentials involving exponential critical growth in R-2

作者：Albuquerque Francisco S B; Alves Claudianor O; Medeiros Everaldo S^*

来源：Journal of Mathematical Analysis and Applications, 2014, 409(2): 1021-1031.

DOI：10.1016/j.jmaa.2013.07.005

• Nonlinear Schrodinger equation
• Unbounded or decaying radial potentials
• Exponential critical growth
• Trudinger-Moser inequality

We study the existence and multiplicity of solutions for the following class of nonlinear Schrodinger equations
-Delta u + V(vertical bar x vertical bar)u = Q(vertical bar x vertical bar)f (u) in R-2,
where V and Q are unbounded or decaying radial potentials and the nonlinearity f (s) has exponential critical growth. The approaches used here are based on a version of the Trudinger-Moser inequality and a minimax theorem.

• 出版日期2014-1-15