| Abstract: |
| In this talk, we give the existence of solutions for the following class of nonlinear
Schr\{o}dinger equations $-\Delta_{N}u+V\left( x\right) u=K\left(
x\right) f\left( u\right) $ in $%
%TCIMACRO{\U{211d} }%
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\mathbb{R}
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^{N}$ where $V$ and $K$ are bounded and decaying 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. This is a joint work with Jun Wang and Xiaoyong Qian |
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